Knowledge (XXG)

Regular tuning

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strings have intervals that are minor thirds, perfect fourths, augmented fourths, or perfect fifths; thus, the fretting hand covers three, five, six, or seven frets respectively to play a chromatic scale. (Of course, the lowest chromatic-scale uses the open strings and so requires one less fret to be covered.)
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conventional major/minor system chords are easier to play in standard tuning than in regular tuning. Left-handed guitarists may use the chord charts from one class of regular tunings for its left-handed tuning; for example, the chord charts for all-fifths tuning may be used for guitars strung with left-handed all-fourths tuning.
1432:"The augmented-fourth interval is the only interval whose inverse is the same as itself. The augmented-fourths tuning is the only tuning (other than the 'trivial' tuning C–C–C–C–C–C) for which all chords-forms remain unchanged when the strings are reversed. Thus the augmented-fourths tuning is its own 'lefty' tuning." 1937:
The reordering of open-strings in left-handed tunings has an important consequence. The chord fingerings for the right-handed tunings must be changed for left-handed tunings. However, the left-handed involute of a regular tuning is easily recognized: it is another regular tuning. Thus the chords for
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for the repetitive regular tunings (minor thirds, major thirds, and augmented fourths). Regular tunings thus often appeal to new guitarists and also to jazz-guitarists, as they facilitate key transpositions without requiring a completely new set of fingerings for the new key. On the other hand, some
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For the standard tuning, there is exactly one interval of a third between the second and third strings, and all the other intervals are fourths. Working around the irregular third of standard tuning, guitarists have to memorize chord-patterns for at least three regions: The first four strings tuned
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was too short. Experimenting with a g string, Fripp succeeded. "Originally, seen in 5ths. all the way, the top string would not go to B. so, as on a tenor banjo, I adopted an A on the first string. These kept breaking, so G was adopted." In 2012, Fripp experimented with A
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climbs from one string to the next after a number of frets that is specific to each regular tuning. The chromatic scale climbs after exactly four frets in major-thirds tuning, so reducing the extensions of the little and index fingers ("hand stretching"). For other regular tunings, the successive
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refers to any open-string note-arrangement other than standard tuning. Such alternative tuning arrangements offer different chord voicing and sonorities. Alternative tunings necessarily change the chord shapes associated with standard tuning, which eases the playing of some, often "non-standard",
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All-fifths tuning has been approximated with tunings in the Through The Looking Glass Guitar of Kei Nakano, which has been played by him since 2015. This new tuning is like a mirror to all kinds of string instruments including guitar. Also it can adapt to any other tunings of guitar. If tuned to
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In the table, the last row is labeled the "7th string" so that the low C tuning can be displayed without needing another table; the term "7th string" does not appear in the sources. Similarly, the terms "-1st string" and "0th string" do not appear in the sources, which do discuss guitars having
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The shifting of chords is especially simple for the regular tunings that repeat their open strings, in which case chords can be moved vertically: Chords can be moved three strings up (or down) in major-thirds tuning, and chords can be moved two strings up (or down) in augmented-fourths tuning.
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With six strings, major-thirds tuning has a smaller range than standard tuning; with seven strings, the major-thirds tuning covers the range of standard tuning on six strings. With the repetition of three open-string notes, each major-thirds tuning provides the guitarist with many options for
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This tuning is like that of the lowest four strings in standard tuning. Consequently, of all the regular tunings, it is the closest approximation to standard tuning, and thus it best allows the transfer of a knowledge of chords from standard tuning to a regular tuning. Jazz musician
400: 962:) intervals require hand stretching. Some chords that are conventional in folk music are difficult to play even in all-fourths and major-thirds tunings, which do not require more hand-stretching than standard tuning. On the other hand, minor-thirds tuning features many 1847:(nine semitones), have received scholarly discussion. The chord charts for minor-sixths tuning are useful for left-handed guitarists playing in major-thirds tuning; the chord charts for major-sixths tuning, for left-handed guitarists playing in minor-thirds tuning. 1427:
that repeats its notes after two strings. With augmented-fourths tunings, the fretboard has greatest symmetry. In fact, every augmented-fourths tuning lists the notes of all the other augmented-fourths tunings on the frets of its fretboard. Professor Sethares wrote
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On the other hand, particular traditional chords may be more difficult to play in a regular tuning than in standard tuning. It can be difficult to play conventional chords especially in augmented-fourths tuning and all-fifths tuning, in which the wide
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The left-handed involute of a left-handed involute is the original right-handed tuning. The left-handed version of the trivial tuning C–C–C–C–C–C is also C–C–C–C–C–C. Among non-trivial tunings, only the class of augmented-fourths tunings is
1204:; it repeats its octave after three strings, which again simplifies the learning of chords and improvisation; similarly, minor-thirds tuning repeats itself after four strings while augmented-fourths tuning repeats itself after two strings. 1349:(in the first or open positions) are generated by two chords, the open F major chord and the D major chord. The regularity of chord-patterns reduces the number of finger positions that need to be memorized. 742:
The irregularity has a price. Chords cannot be shifted around the fretboard in the standard tuning E–A–D–G–B–E, which requires four chord-shapes for the major chords. There are separate chord-forms for chords having their
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fingering chords. Indeed, the fingering of two successive frets suffices to play pure major and minor chords, while the fingering of three successive frets suffices to play seconds, fourths, sevenths, and ninths.
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chords at the cost of increasing the difficulty of some traditionally-voiced chords. As with other scordatura tuning, regular tunings may require re-stringing the guitar with different string gauges. For example,
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The consecutive open-notes of all-fifths tuning are spaced seven semi-tones apart on the chromatic circle. While the notes of the open-notes of the all-fifths and all-fourths tunings agree, their orderings are
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responded, "It's a more rational system, but it's also better sounding—better for chords, better for single notes." To build chords, Fripp uses "perfect intervals in fourths, fifths and octaves", so avoiding
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In contrast, regular tunings have constant intervals between their successive open-strings. In fact, the class of each regular tuning is characterized by its musical interval as shown by the following list:
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For regular guitar-tunings, the distance between consecutive open-strings is a constant musical-interval, measured by semitones on the chromatic circle. The chromatic circle lists the twelve notes of the
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Regular tunings have symmetrical scales all along the fretboard. This makes it simpler to translate chords into new keys. For the regular tunings, chords may be moved diagonally around the fretboard.
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have different sounds because of differing "string widths, tensions and tunings, and reinforce each other, like the doubled strings of a twelve string guitar add chorusing and depth," according to
1693:; other names include "perfect fifths" and "fifths". Consequently, classical compositions written for violin or guitar may be adapted to all-fifths tuning more easily than to standard tuning. 3182:, Matheon preprints, vol. 695, Berlin, Germany: DFG research center "MATHEON, Mathematics for key technologies", MSC-Classification 97M80 Arts. Music. Language. Architecture. 803: 1150: 384: 1806:. The original version of NST was all-fifths tuning. However, in the 1980s, Fripp never attained the all fifth's high B4. While he could attain A4, the string's 995:
The following regular tunings are discussed by Sethares, who also mentions other regular tunings that are difficult to play or have had little musical interest, to date.
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has been difficult to implement on conventional guitars, due to the extreme high pitch required from the top string. Even a common approximation to all-fifths tuning,
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of the standard tuning E–A–D–G–B–E is the "lefty" tuning E–B–G–D–A–E. Similarly, the "left-handed" involute of the "lefty" tuning is the standard ("righty") tuning.
377: 3102:. "Original transcriptions by Curt Golden", "Layout scores and tablatures: Ariel Rzezak and Theo Morresi" (First limited ed.). Partitas Music. 2001: 265:. Tunings can be described by the particular pitches that are denoted by notes in Western music. By convention, the notes are ordered from lowest to highest. The 1967: 1881:
The "trivial" class of unison tunings (such as C3–C3–C3–C3–C3–C3) are each their own left-handed tuning. Unison tunings are briefly discussed in the article on
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The fretboard of major-thirds tuning is segmented into four-fret intervals, which simplifies its learning and also reduces the need for shifting the left hand.
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An augmented-fourths tuning "makes it very easy for playing half-whole scales, diminished 7 licks, and whole tone scales," stated guitarist
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This article is about alternative tunings of the guitar to which the term "regular" is applied. For regular tunings of musical scales in general, see
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Musicologist Eric Tamm wrote that despite "considerable effort and search I just could not find a good set of chords whose sound I liked" for
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In major-thirds tuning, chords are inverted by raising notes by three strings on the same frets. The inversions of a C major chord are shown.
1773: 1717:). It is a challenge to adapt conventional guitar-chords to new standard tuning, which is based on all-fifths tuning. Some closely voiced 3265: 3103: 1815:
String (0.007); if successful, the experiment could lead to "the NST 1.2", CGDAE-A, according to Fripp. Fripp's NST has been taught in
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For the standard Western guitar, which has six strings, major-thirds tuning has a smaller range than standard tuning; on a guitar with
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When he was asked whether tuning in fifths facilitates "new intervals or harmonies that aren't readily available in standard tuning",
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With standard tuning, and with all tunings, chord patterns can be moved twelve frets down, where the notes repeat in a higher octave.
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Denyer, Ralph (1992). "Playing the guitar ('How the guitar is tuned', pp. 68–69, and 'Alternative tunings', pp. 158–159)".
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All-fifths tuning has been approximated with tunings that avoid the high B4 or the low C2. The B4 has been replaced with a G4 in the
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Regular tunings thus appeal to new guitarists and also to jazz-guitarists, whose improvisation is simplified by regular intervals.
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For regular tunings, intervals wider than a perfect fifth or narrower than a minor third have, thus far, had limited interest.
1811: 3528: 2719: 2980: 2954: 2011:(seven semitones), as mentioned previously. The following table summarizes the lefty-righty pairings discussed by Sethares. 366:) is the leading source for this article. This article's descriptions of particular regular-tunings use other sources also. 1878:). These tunings tend to increase the difficulty in playing the major/minor system chords of conventionally tuned guitars. 1772: 1342:
plays guitar in all-fourths tuning; he has stated that all-fourths tuning "simplifies the fingerboard, making it logical".
4243: 1930:, the ordering of the strings reverses the ordering of the strings for right-handed guitars. For example, the left-handed 1858:(eleven semitones) intervals would make conventional major/minor chord-playing very difficult, as would octave intervals. 987: 1177: 403: 387:
In standard tuning, the C-major chord has three shapes because of the irregular major-third between the G- and B-strings.
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and Alastair M. Crawford (Fully revised and updated ed.). London and Sydney: Pan Books. pp. 65–160.
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Achieving the same range as a standard-tuned guitar using minor-thirds tuning would require a nine-string guitar (e.g. E
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its open-notes after four strings. In the minor-thirds tuning beginning with C, the open strings contain the notes (C, E
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in perfect fourths; two or more fourths and the third; and one or more initial fourths, the third, and the last fourth.
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usual conventional guitar for the right handed person, it is able to use for lefty guitar in general, and vice versa.
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requires a taut, thin string, and consequently is prone to breaking. This can be ameliorated by using a shorter
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The left-handed involute of an all-fourths tuning is an all-fifths tuning. All-fourths tuning is based on the
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defines the string pitches as E, A, D, G, B, and E. Between the open-strings of the standard tuning are three
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The left-handed involute of an all-fifths tuning is an all-fourths tuning. All-fifths tuning is based on the
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having four semitones in its interval, major-thirds tuning repeats its open notes after three (12/4) strings;
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having three semitones in its interval, minor-thirds tuning repeats its open notes after four (12/3) strings;
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having six semitones in its interval, augmented-fourths tuning repeats its notes after two (12/6) strings.
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The consecutive notes of all-fourths tuning are spaced apart by five semi-tones on the chromatic circle.
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In regular tunings like M3 tuning, chords maintain the same shape, unlike the chords of standard tuning.
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4 tuning is the closest approximation to the standard tuning, and its fretboard is displayed next:
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guitar-tuning, one major-third interval is interjected amid four perfect-fourth intervals. In each
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Wide scope facilitates ensemble playing and single-note picking (rather than conventional chords)
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A line segment bisecting the chromatic circle specifies an augmented-fourths (tritone) tuning.
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This summary of standard tuning also introduces the terms for discussing alternative tunings.
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In contrast, regular tunings have constant intervals between their successive open-strings:
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the involuted regular-tuning may be used for the left-handed involute of a regular tuning.
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The principal regular-tunings have their properties summarized in the following table:
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Chords can be shifted diagonally in regular tunings, such as major-thirds (M3) tuning.
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with repeated notes, properties that appeal to acoustic guitarists and to beginners.
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Neighboring the standard tuning is the all-thirds tuning that has the open strings
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In standard tuning, the separation of the second (B), and third (G) string is by a
422: 237: 2501: 2479: 1312: 2988: 2962: 4151: 4064: 4001: 3991: 3284: 2232: 2199: 2158: 2041: 2031: 1923:, mathematicians, and left-handed persons, but may be skipped by other readers. 1886: 1844: 1840: 1736:, or by shifting down a fifth. All-fifths tuning was used by the jazz-guitarist 1733: 1718: 1706: 1702: 1346: 1197: 1061: 1040: 1036: 963: 864: 853: 434: 274: 203: 179: 139: 127: 47: 1866:
There are regular-tunings that have as their intervals either zero semi-tones (
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3–C4–E5 repeats its three open-notes in the higher octave after three strings.
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Major-thirds tuning was heavily used in 1964 by the American jazz-guitarist
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each recommend discussions of major-thirds tuning by two jazz-guitarists, (
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No repetition occurs in six strings; repetition occurs after 12 strings.
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basic library. Hal Leonard Publishing Corporation. pp. 68–76.
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It has a wide range, thus its implementation can be difficult. The high
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New standard tuning substitutes a G for the high B of all-fifths tuning
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The class of regular tunings has been named and described by Professor
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Seven Guitar Craft themes: Definitive scores for guitar ensemble
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Every minor-thirds tuning repeats its open notes after four strings.
3351: 1919:. The present discussion of left-handed tunings is of interest to 1770: 1762: 1686: 1651: 1642: 1367: 1311: 1303: 1112: 986: 825: 817: 783: 3465: 3042: 1274:, the major-thirds tuning covers the range of standard tuning on 1278: strings. Even greater range is possible with guitars with 4140: 4055: 3959: 3545: 3507: 3469: 3016:
Robert Fripp: From crimson king to crafty master
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Provides new material for improvisation by advanced guitarists
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Makes it difficult to play music written for standard tuning.
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Major-thirds tuning repeats its notes after three strings.
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with repeated notes, properties that appeal to beginners.
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from right-handed to left-handed tunings, as observed by
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Two regular-tunings based on sixths, having intervals of
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Audio playback is not supported in your browser. You can
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Particular conventional chords are more difficult to play
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Audio playback is not supported in your browser. You can
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Major and minor chords are played on 2 successive frets;
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have taught Fripp's tuning to three-thousand students.
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Natural for all-fifths music (violin, cello, mandolin)
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tuning, all string successions have the same interval.
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Uses chords from lowest 4 strings of standard tuning.
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others (seconds, fourths, sevenths, and ninths) on 3.
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The class of regular tunings is preserved under the
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Very difficult to play conventional chord-voicings.
1405:Between the all-fifths and all-fourths tunings are 98: 90: 82: 77: 63: 58: 38: 3289:Guitar zero: The science of learning to be musical 1995: 1961: 2955:"Robert Fripp's diary: Friday, 5th February 2010" 1721:become impractical in NST and all-fifths tuning. 370:Standard and alternative guitar-tunings: A review 3411:Ralph Patt for 6-, 7-, and 8-string guitars 3179:Tuning guitars and reading music in major thirds 747:on the third, fourth, fifth, and sixth strings. 2782: 2780: 3437:Courses in New Standard Tuning are offered by 2767: 2765: 2763: 2698:(1986). "Stanley Jordan". In Casabona, Helen; 2433: 2431: 1677:All-fifths tuning is a tuning in intervals of 1436:Of all the augmented-fourths tunings, the C2–F 915:The regular tunings whose number of semitones 421:Standard tuning has the following open-string 3481: 2797: 2795: 2761: 2759: 2757: 2755: 2753: 2751: 2749: 2747: 2745: 2743: 2539: 2537: 2535: 1819:courses. Guitar Craft and its successor 342:For the regular tunings, chords may be moved 8: 3390:Ole Kirkeby for 6- and 7-string guitars 2974: 2972: 2789:, "The augmented fourths tuning" 60–61) 2603: 2601: 2462: 2460: 2458: 2129:Each facilitates learning and improvisation. 2915:, "The mandoguitar tuning", pp. 62–63) 2554: 2552: 2311:Requires extreme (light and heavy) strings. 4203: 4137: 4052: 3956: 3569: 3564: 3542: 3504: 3488: 3474: 3466: 3312:"Alternate tuning guide: Interactive" 2806:"The augmented fourths tuning", p. 60 2504:. Guitar tunings database. 3 February 2013 2482:. Guitar tunings database. 3 February 2013 46: 2350: 2348: 2346: 2169:Chromatic scale on four successive frets. 1982: 1954: 3383: 3375: 3124: 2912: 2844: 2801: 2786: 2771: 2734: 2690: 2641: 2629: 2607: 2579: 2575: 2558: 2543: 2466: 2449: 2437: 2413: 2409: 2377: 2354: 2104: 2013: 1941:For example, the left-handed version of 1459: 1456: 733: 446: 277:G–B, and the fourth perfect-fourth B–E. 3067:(NPR Weekend ed.). Washington DC: 2856: 2522: 2342: 919:divides 12 (the number of notes in the 2527:"Fretmaps, major chords: Major Triads" 2392: 2390: 2388: 2386: 2365: 35: 3333:Guitar Tunings: A Comprehensive Guide 3266:"WA's encyclopedia of guitar tunings" 3088: 2926:"日本特許第6709929号 【発明の名称】弦楽器 【特許権者】中野 圭" 776:, requires a special set of strings. 7: 3264:Allen, Warren (22 September 2011) . 3176:Griewank, Andreas (1 January 2010), 2896: 1196:between successive strings are each 2823:"Interview with Ron Jarzombek" 1973:is the regular tuning based on its 1778:New Standard Tuning's open strings. 1732:guitar, by shifting to a different 1713:tuning (in comparison to thirds in 1345:For all-fourths tuning, all twelve 1060:Minor-thirds tuning features many 25: 4118: 2847:, "The mandoguitar tuning" 62–63) 1192:is a regular tuning in which the 857: 346:around the fretboard, as well as 285: 199: 123: 4213: 4212: 4202: 3370:Professors Andreas Griewank and 2987:, DGM Live!. Archived from 2961:, DGM Live!. Archived from 2172:Hence, reduced hand-stretching: 1411:tunings, which are also called " 1149: 1137: 802: 376: 2979:Fripp, Robert (22 April 2012). 2705:New directions in modern guitar 2406:Ralph Patt's jazz web page 3459:Guitar Circle of North America 3454:Guitar Circle of Latin America 3405:recommended gauges for strings 3096:(2011). Pozzo, Horacio (ed.). 3043:Zipped Microsoft Word Document 305:5 semitones (perfect fourth): 1: 2861:Mulhern, Tom (January 1986). 2570:Kirkeby, Ole (1 March 2012). 2502:"G#BDFG#B: Minor thirds (m3)" 2480:"ACD#F#AC: Minor thirds (m3)" 2239:Difficult to play folk chords 2582:, p. 1). Archived from 2094:under the lefty involution. 1401:4 and B1–F1–B2–F3–B3–F4 etc. 1176: 440:, which has a width of four 402: 3190:(2001). "Regular tunings". 3002:Octave4Plus of Gary Goodman 2901:Chapter 10: Postscript 2402:"The major 3rd tuning" 2134:None use standard-tuning's 1668:Quartal and quintal harmony 1292:to facilitate his style of 364:Alternate tuning guide 294:4 semitones (major third): 284:3 semitones (minor third): 4265: 2572:"Major thirds tuning" 2408:. ralphpatt.com. cited by 1896: 1787: 1781: 1665: 1659: 1375: 1325: 1319: 1167: 833: 757:Alternative guitar-tunings 754: 735:Chromatic note progression 414: 362:(in his revised 2010–2011 358:. Sethares's 2001 chapter 273:(E–A, A–D, D–G), then the 26: 4198: 4147: 4136: 4072: 4051: 3973: 3955: 3567: 3563: 3541: 3514: 3503: 3291:. Oneworld. p. 234. 3106: 979-0-9016791-7-7. 2574:. m3guitar.com. cited by 1850:The regular tunings with 1843:(eight semitones) and of 1639:All fifths: "Mandoguitar" 1117:The major-thirds tuning A 970:Frets covered by the hand 763:Alternative ("alternate") 210: 198: 186: 170: 158: 146: 134: 122: 110: 45: 3323:Uses Wolfram Cdf player. 3242:"Alternate tuning guide" 3059:"California Guitar Trio" 2985:Discipline Global Mobile 2959:Discipline Global Mobile 2272:Augmented-fourths tuning 2266:symmetry ("left-handed") 1907:involution (mathematics) 1378:Augmented-fourths tuning 1144:Chords vertically shift. 899:Augmented-fourths tuning 326:Augmented-fourths tuning 3449:Guitar Circle of Europe 3157:. Special contributors 2187:Smaller range (without 1181:download the audio file 1055:diminished C triad 407:download the audio file 4239:Regular guitar-tunings 3218:Alternate tuning guide 3193:Alternate tuning guide 2269:Only 2 open notes 2194:Only three open-notes. 1997: 1963: 1893:Left-handed involution 1874:), or two semi-tones ( 1779: 1768: 1657: 1649: 1434: 1373: 1317: 1309: 1194:musical intervals 1130: 1035:In each minor-thirds ( 992: 927:strings: For example, 831: 823: 797: 417:Standard guitar-tuning 3064:All Things Considered 1998: 1964: 1777: 1766: 1709:, which are sharp in 1655: 1646: 1430: 1371: 1315: 1307: 1116: 1070:William Sethares 990: 829: 821: 787: 4244:Combinatorial design 3588:(often most popular) 3308:Sethares, William A. 3238:Sethares, William A. 3215:(10 January 2009) . 3057:(5 September 1998). 3013:Tamm, Eric (2003) , 2991:on 11 November 2013. 2965:on 11 November 2013. 2821:(30 December 2005). 2654:Bianco, Bob (1987). 2620:seven-eight strings. 2015:Left-handed tunings 1996:{\displaystyle 12-n} 1981: 1953: 1767:New standard tuning. 240:of their successive 230:regular tunings 78:Advanced information 3441:, the successor of 3432:New standard tuning 3159:Isaac Guillory 3155:The guitar handbook 2953:(5 February 2010). 2316:All-fourths tuning 2016: 1928:left-handed guitars 1854:(ten semitones) or 1796:new standard tuning 1784:New standard tuning 1759:New standard tuning 1423:" tunings. It is a 1340:Stanley Jordan 1316:All fourths tuning. 1190:Major-thirds tuning 1170:Major-thirds tuning 869:Major-thirds tuning 858:Minor-thirds tuning 774:new standard tuning 236:between the paired 29:Regular temperament 3423:chord-progressions 3114: partitas001. 3033:on 26 October 2011 2930:patents.google.com 2825:. RonJarzombek.com 2711:Guitar Player 2662:: Calliope Music. 2059:Diminished fifths 2014: 1993: 1975:involuted interval 1959: 1943:all-fourths tuning 1899:Interval inversion 1870:), one semi-tone ( 1780: 1769: 1658: 1650: 1633:Ron Jarzombek 1374: 1322:All fourths tuning 1318: 1310: 1131: 993: 880:All-fourths tuning 832: 824: 798: 465:4th fret (little) 429:E2–A2–D3–G3–B3–E4. 307:All-fourths tuning 4249:Intervals (music) 4226: 4225: 4194: 4193: 4176:Other instruments 4132: 4131: 4087:Augmented fourths 4047: 4046: 4018:Augmented fourths 3951: 3950: 3947: 3946: 3942: 3941: 3537: 3536: 3127:, pp. 64–67) 3055:Zwerdling, Daniel 2656:Guitar in Fourths 2644:, pp. 58–59) 2440:, pp. 54–55) 2400:(14 April 2008). 2334: 2333: 2253:Augmented fourths 2242:All-fifths tuning 2087: 2086: 2056:Augmented fourths 1962:{\displaystyle n} 1947:all-fifths tuning 1921:musical theorists 1845:major sixths 1841:minor sixths 1827:Extreme intervals 1817:Guitar Craft 1804:Robert Fripp 1800:King Crimson 1775: 1711:equal temperament 1673:C2–G2–D3–A3–E4–B4 1629: 1628: 1425:repetitive tuning 1414:diminished-fifths 1364:Augmented fourths 1347:major chords 1333:E2–A2–D3–G3–C4–F4 1202:repetitive tuning 1185: 910:All-fifths tuning 770:all-fifths tuning 740: 739: 459:2nd fret (middle) 411: 337:All-fifths tuning 286:Minor-thirds, or 259:open strings 242:open strings 234:musical intervals 219: 218: 160:Augmented fourths 59:Basic information 16:(Redirected from 4256: 4216: 4215: 4206: 4205: 4186:William Sethares 4138: 4053: 3957: 3915: 3914: 3886: 3885: 3880: 3879: 3874: 3873: 3832: 3831: 3820: 3819: 3801: 3800: 3795: 3794: 3789: 3788: 3777: 3776: 3745: 3744: 3739: 3738: 3727: 3726: 3721: 3720: 3702: 3701: 3696: 3695: 3690: 3689: 3684: 3683: 3672: 3671: 3666: 3665: 3570: 3565: 3556:slack-key guitar 3543: 3505: 3490: 3483: 3476: 3467: 3372:William Sethares 3355: 3322: 3320: 3318: 3302: 3282:(Recommended by 3281: 3279: 3277: 3268:. Archived from 3253: 3251: 3249: 3233: 3231: 3229: 3223: 3208: 3206: 3204: 3198: 3183: 3172: 3140: 3137: 3128: 3122: 3116: 3115: 3086: 3080: 3079: 3077: 3075: 3051: 3045: 3041: 3040: 3038: 3029:, archived from 3010: 3004: 2999: 2993: 2992: 2976: 2967: 2966: 2947: 2941: 2940: 2938: 2936: 2922: 2916: 2910: 2904: 2889: 2883: 2882: 2880: 2878: 2854: 2848: 2842: 2836: 2834: 2832: 2830: 2815: 2809: 2799: 2790: 2784: 2775: 2769: 2738: 2732: 2726: 2725: 2688: 2682: 2681: 2651: 2645: 2639: 2633: 2627: 2621: 2617: 2611: 2605: 2596: 2595: 2593: 2591: 2586:on 11 April 2015 2567: 2561: 2556: 2547: 2541: 2530: 2520: 2514: 2513: 2511: 2509: 2498: 2492: 2491: 2489: 2487: 2476: 2470: 2464: 2453: 2447: 2441: 2435: 2426: 2425: 2423: 2421: 2394: 2381: 2375: 2369: 2363: 2357: 2352: 2105: 2017: 2002: 2000: 1999: 1994: 1968: 1966: 1965: 1960: 1917:William Sethares 1862:Narrow intervals 1776: 1457: 1453: 1452: 1447: 1446: 1441: 1440: 1408:augmented-fourth 1400: 1399: 1394: 1393: 1388: 1387: 1258: 1257: 1252: 1251: 1246: 1245: 1240: 1239: 1234: 1233: 1228: 1227: 1222: 1221: 1216: 1215: 1153: 1141: 1128: 1127: 1122: 1121: 1104: 1103: 1098: 1097: 1092: 1091: 1086: 1085: 1080: 1079: 1052: 1051: 1030: 1029: 1021: 1020: 1015: 1014: 1009: 1008: 895:diminished fifth 887:augmented fourth 836:Interval (music) 806: 728: 727: 722: 721: 710: 709: 704: 703: 684: 683: 678: 677: 663: 662: 657: 656: 640: 639: 634: 633: 619: 618: 613: 612: 593: 592: 587: 586: 575: 574: 569: 568: 552: 551: 546: 545: 534: 533: 528: 527: 508: 507: 502: 501: 490: 489: 484: 483: 456:1st fret (index) 447: 380: 356:William Sethares 322:diminished fifth 314:augmented fourth 296:Major-thirds or 50: 36: 21: 4264: 4263: 4259: 4258: 4257: 4255: 4254: 4253: 4229: 4228: 4227: 4222: 4190: 4143: 4128: 4068: 4043: 3969: 3943: 3938: 3912: 3911: 3883: 3882: 3877: 3876: 3871: 3870: 3850: 3829: 3828: 3817: 3816: 3798: 3797: 3792: 3791: 3786: 3785: 3774: 3773: 3763: 3742: 3741: 3736: 3735: 3724: 3723: 3718: 3717: 3699: 3698: 3693: 3692: 3687: 3686: 3681: 3680: 3669: 3668: 3663: 3662: 3652: 3587: 3559: 3533: 3510: 3499: 3494: 3434: 3380:Regular tunings 3367: 3362: 3344: 3326: 3316: 3314: 3310:(12 May 2012). 3306: 3299: 3283: 3275: 3273: 3272:on 13 July 2012 3263: 3260: 3258:Further reading 3247: 3245: 3240:(18 May 2012). 3236: 3227: 3225: 3221: 3211: 3202: 3200: 3196: 3186: 3175: 3169: 3152: 3149: 3144: 3143: 3138: 3131: 3123: 3119: 3092: 3087: 3083: 3073: 3071: 3053: 3052: 3048: 3036: 3034: 3027: 3012: 3011: 3007: 3000: 2996: 2978: 2977: 2970: 2949: 2948: 2944: 2934: 2932: 2924: 2923: 2919: 2911: 2907: 2890: 2886: 2876: 2874: 2860: 2855: 2851: 2843: 2839: 2828: 2826: 2817: 2816: 2812: 2800: 2793: 2785: 2778: 2770: 2741: 2733: 2729: 2722: 2694: 2693:, p. 76): 2689: 2685: 2670: 2653: 2652: 2648: 2640: 2636: 2628: 2624: 2618: 2614: 2606: 2599: 2589: 2587: 2576:Sethares (2012) 2569: 2568: 2564: 2559:Griewank (2010) 2557: 2550: 2542: 2533: 2521: 2517: 2507: 2505: 2500: 2499: 2495: 2485: 2483: 2478: 2477: 2473: 2465: 2456: 2448: 2444: 2436: 2429: 2419: 2417: 2410:Sethares (2012) 2396: 2395: 2384: 2376: 2372: 2364: 2360: 2355:Sethares (2001) 2353: 2344: 2339: 2263:After 2 strings 2231:Same tuning as 2164:After 3 strings 2142: 2133: 2128: 2114: 2100: 1979: 1978: 1951: 1950: 1909: 1903:chord inversion 1895: 1883:ostrich tunings 1864: 1837: 1829: 1792: 1786: 1771: 1761: 1715:just intonation 1705:and especially 1681:like that of a 1670: 1664: 1641: 1472:(0th fret) 1471: 1450: 1449: 1444: 1443: 1438: 1437: 1397: 1396: 1391: 1390: 1385: 1384: 1380: 1366: 1330: 1324: 1302: 1290:Ralph Patt 1255: 1254: 1249: 1248: 1243: 1242: 1237: 1236: 1231: 1230: 1225: 1224: 1219: 1218: 1213: 1212: 1187: 1186: 1184: 1172: 1166: 1165: 1164: 1163: 1159: 1158: 1157: 1154: 1146: 1145: 1142: 1125: 1124: 1119: 1118: 1111: 1101: 1100: 1095: 1094: 1089: 1088: 1083: 1082: 1077: 1076: 1049: 1048: 1027: 1026: 1018: 1017: 1012: 1011: 1006: 1005: 1001: 985: 976:chromatic scale 972: 951: 838: 816: 815: 814: 812: 807: 782: 759: 753: 725: 724: 719: 718: 707: 706: 701: 700: 681: 680: 675: 674: 660: 659: 654: 653: 637: 636: 631: 630: 616: 615: 610: 609: 590: 589: 584: 583: 572: 571: 566: 565: 549: 548: 543: 542: 531: 530: 525: 524: 505: 504: 499: 498: 487: 486: 481: 480: 462:3rd fret (ring) 450:Standard tuning 419: 413: 412: 410: 398: 390: 389: 388: 386: 381: 372: 360:Regular tunings 271:perfect-fourths 267:standard tuning 100:Regular tunings 68: 67:Uniform tunings 54: 41: 40:Regular tunings 32: 23: 22: 18:Regular tunings 15: 12: 11: 5: 4262: 4260: 4252: 4251: 4246: 4241: 4231: 4230: 4224: 4223: 4221: 4220: 4210: 4199: 4196: 4195: 4192: 4191: 4189: 4188: 4183: 4181:Musical tuning 4178: 4173: 4159: 4154: 4148: 4145: 4144: 4141: 4134: 4133: 4130: 4129: 4127: 4126: 4116: 4113:Russian open-G 4110: 4107:English open-C 4104: 4094: 4084: 4073: 4070: 4069: 4056: 4049: 4048: 4045: 4044: 4042: 4041: 4031: 4025: 4015: 4005: 3995: 3985: 3974: 3971: 3970: 3960: 3953: 3952: 3949: 3948: 3945: 3944: 3940: 3939: 3937: 3936: 3927: 3918: 3904: 3896: 3888: 3863: 3853: 3851: 3849: 3848: 3840: 3834: 3822: 3810: 3802: 3779: 3766: 3764: 3762: 3761: 3753: 3747: 3729: 3711: 3703: 3674: 3655: 3653: 3651: 3650: 3642: 3634: 3626: 3618: 3610: 3602: 3593: 3590: 3589: 3584: 3579: 3574: 3568: 3561: 3560: 3546: 3539: 3538: 3535: 3534: 3532: 3531: 3526: 3521: 3515: 3512: 3511: 3508: 3501: 3500: 3497:Guitar tunings 3495: 3493: 3492: 3485: 3478: 3470: 3464: 3463: 3462: 3461: 3456: 3451: 3433: 3430: 3429: 3428: 3427: 3426: 3408: 3386:, p. 1): 3366: 3363: 3361: 3360:External links 3358: 3357: 3356: 3342: 3328:Weissman, Dick 3324: 3304: 3297: 3259: 3256: 3255: 3254: 3234: 3213:Sethares, Bill 3209: 3188:Sethares, Bill 3184: 3173: 3167: 3148: 3145: 3142: 3141: 3129: 3125:Sethares (2001 3117: 3091:, p. 3): 3081: 3046: 3025: 3005: 2994: 2968: 2942: 2917: 2913:Sethares (2001 2905: 2884: 2857:Mulhern (1986) 2849: 2845:Sethares (2001 2837: 2810: 2802:Sethares (2001 2791: 2787:Sethares (2001 2776: 2772:Sethares (2001 2739: 2735:Sethares (2001 2727: 2720: 2691:Ferguson (1986 2683: 2668: 2646: 2642:Sethares (2001 2634: 2630:Griewank (2010 2622: 2612: 2608:Griewank (2010 2597: 2580:Griewank (2010 2562: 2548: 2546:, pp. 56) 2544:Sethares (2001 2531: 2515: 2493: 2471: 2469:, pp. 54) 2467:Sethares (2001 2454: 2450:Griewank (2010 2442: 2438:Sethares (2001 2427: 2414:Griewank (2010 2382: 2378:Griewank (2010 2370: 2368:, p. 119) 2358: 2341: 2340: 2338: 2335: 2332: 2331: 2330: 2329: 2324: 2317: 2314: 2313: 2312: 2309: 2304: 2303: 2302: 2299: 2294: 2293:Non-repetitive 2291: 2285: 2279: 2278: 2273: 2270: 2267: 2264: 2261: 2255: 2249: 2248: 2246:Stanley Jordan 2243: 2240: 2237: 2236: 2235: 2229: 2224: 2223:Non-repetitive 2221: 2218:Perfect fourth 2215: 2209: 2208: 2203: 2197: 2196: 2195: 2192: 2183: 2182: 2181: 2180: 2179: 2176: 2170: 2165: 2162: 2156: 2150: 2149: 2146: 2139: 2132:Disadvantages: 2130: 2125: 2120: 2109: 2108:Regular tuning 2099: 2096: 2085: 2084: 2081: 2077: 2076: 2073: 2069: 2068: 2065: 2061: 2060: 2057: 2053: 2052: 2049: 2045: 2044: 2039: 2035: 2034: 2029: 2025: 2024: 2021: 2005:perfect fourth 1992: 1989: 1986: 1958: 1894: 1891: 1863: 1860: 1836: 1835:Wide intervals 1833: 1828: 1825: 1782:Main article: 1760: 1757: 1749:perfect fourth 1679:perfect fifths 1675: 1674: 1660:Main article: 1640: 1637: 1627: 1626: 1623: 1620: 1617: 1614: 1611: 1608: 1604: 1603: 1600: 1597: 1594: 1591: 1588: 1585: 1581: 1580: 1577: 1574: 1571: 1568: 1565: 1562: 1558: 1557: 1554: 1551: 1548: 1545: 1542: 1539: 1535: 1534: 1531: 1528: 1525: 1522: 1519: 1516: 1512: 1511: 1508: 1505: 1502: 1499: 1496: 1493: 1489: 1488: 1485: 1482: 1479: 1476: 1473: 1468: 1465: 1464: 1403: 1402: 1376:Main article: 1365: 1362: 1354:perfect fourth 1335: 1334: 1328:Perfect fourth 1320:Main article: 1301: 1298: 1261: 1260: 1178: 1175: 1173: 1168:Main article: 1161: 1160: 1155: 1148: 1147: 1143: 1136: 1135: 1134: 1133: 1132: 1110: 1107: 1033: 1032: 1023: 1000: 997: 984: 981: 971: 968: 950: 947: 939: 938: 935: 932: 913: 912: 902: 883: 876:perfect fourth 872: 861: 809: 808: 801: 800: 799: 781: 778: 755:Main article: 752: 749: 738: 737: 731: 730: 715: 712: 697: 694: 691: 687: 686: 671: 668: 665: 650: 647: 643: 642: 627: 624: 621: 606: 603: 599: 598: 595: 580: 577: 562: 559: 555: 554: 539: 536: 521: 518: 515: 511: 510: 495: 492: 477: 474: 471: 467: 466: 463: 460: 457: 454: 451: 431: 430: 415:Main article: 404: 401: 399: 397: 394: 383: 382: 375: 374: 373: 371: 368: 340: 339: 329: 310: 303: 292: 226:guitar-tunings 217: 216: 213:Guitar tunings 208: 207: 196: 195: 184: 183: 168: 167: 156: 155: 144: 143: 132: 131: 120: 119: 108: 107: 96: 95: 92: 88: 87: 84: 80: 79: 75: 74: 65: 61: 60: 56: 55: 51: 43: 42: 39: 24: 14: 13: 10: 9: 6: 4: 3: 2: 4261: 4250: 4247: 4245: 4242: 4240: 4237: 4236: 4234: 4219: 4211: 4209: 4201: 4200: 4197: 4187: 4184: 4182: 4179: 4177: 4174: 4171: 4167: 4163: 4160: 4158: 4155: 4153: 4150: 4149: 4146: 4142:Miscellaneous 4139: 4135: 4124: 4120: 4117: 4114: 4111: 4108: 4105: 4102: 4098: 4095: 4092: 4088: 4085: 4082: 4078: 4075: 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Routledge. 3335: 3334: 3329: 3325: 3313: 3309: 3305: 3300: 3298:9781851689323 3294: 3290: 3286: 3271: 3267: 3262: 3261: 3257: 3243: 3239: 3235: 3220: 3219: 3214: 3210: 3195: 3194: 3189: 3185: 3181: 3180: 3174: 3170: 3168:0-330-32750-X 3164: 3160: 3156: 3151: 3150: 3146: 3136: 3134: 3130: 3126: 3121: 3118: 3113: 3109: 3105: 3101: 3100: 3095: 3094:Fripp, Robert 3090: 3085: 3082: 3070: 3066: 3065: 3060: 3056: 3050: 3047: 3044: 3032: 3028: 3026:0-571-16289-4 3022: 3018: 3017: 3009: 3006: 3003: 2998: 2995: 2990: 2986: 2982: 2975: 2973: 2969: 2964: 2960: 2956: 2952: 2951:Fripp, Robert 2946: 2943: 2931: 2927: 2921: 2918: 2914: 2909: 2906: 2902: 2898: 2894: 2893:rhythm guitar 2888: 2885: 2872: 2868: 2867:Guitar Player 2864: 2858: 2853: 2850: 2846: 2841: 2838: 2824: 2820: 2819:Turner, Steve 2814: 2811: 2807: 2803: 2798: 2796: 2792: 2788: 2783: 2781: 2777: 2774:, p. 53) 2773: 2768: 2766: 2764: 2762: 2760: 2758: 2756: 2754: 2752: 2750: 2748: 2746: 2744: 2740: 2737:, p. 52) 2736: 2731: 2728: 2723: 2717: 2713: 2712: 2707: 2706: 2701: 2700:Belew, Adrian 2697: 2696:Ferguson, Jim 2692: 2687: 2684: 2679: 2675: 2671: 2669:0-9605912-2-2 2665: 2661: 2660:New York City 2657: 2650: 2647: 2643: 2638: 2635: 2631: 2626: 2623: 2616: 2613: 2609: 2604: 2602: 2598: 2585: 2581: 2577: 2573: 2566: 2563: 2560: 2555: 2553: 2549: 2545: 2540: 2538: 2536: 2532: 2528: 2524: 2523:Kirkeby (2012 2519: 2516: 2503: 2497: 2494: 2481: 2475: 2472: 2468: 2463: 2461: 2459: 2455: 2451: 2446: 2443: 2439: 2434: 2432: 2428: 2415: 2411: 2407: 2403: 2399: 2393: 2391: 2389: 2387: 2383: 2379: 2374: 2371: 2367: 2362: 2359: 2356: 2351: 2349: 2347: 2343: 2336: 2328: 2325: 2323: 2320: 2319: 2318: 2315: 2310: 2307: 2306: 2305: 2300: 2297: 2296: 2295: 2292: 2289: 2288:Perfect fifth 2286: 2284: 2281: 2280: 2277: 2274: 2271: 2268: 2265: 2262: 2259: 2256: 2254: 2251: 2250: 2247: 2244: 2241: 2238: 2234: 2230: 2227: 2226: 2225: 2222: 2219: 2216: 2214: 2211: 2210: 2207: 2204: 2201: 2198: 2193: 2190: 2186: 2185: 2184: 2177: 2174: 2173: 2171: 2168: 2167: 2166: 2163: 2160: 2157: 2155: 2152: 2151: 2148:Guitarist(s) 2147: 2145: 2140: 2137: 2131: 2126: 2124: 2121: 2118: 2113: 2110: 2107: 2106: 2103: 2097: 2095: 2093: 2083:Minor thirds 2082: 2079: 2078: 2075:Major thirds 2074: 2071: 2070: 2066: 2063: 2062: 2058: 2055: 2054: 2050: 2047: 2046: 2043: 2040: 2037: 2036: 2033: 2030: 2027: 2026: 2022: 2019: 2018: 2012: 2010: 2009:perfect fifth 2006: 1990: 1987: 1984: 1976: 1972: 1956: 1948: 1944: 1939: 1935: 1933: 1929: 1924: 1922: 1918: 1914: 1908: 1904: 1900: 1892: 1890: 1888: 1884: 1879: 1877: 1873: 1869: 1861: 1859: 1857: 1856:major-seventh 1853: 1852:minor-seventh 1848: 1846: 1842: 1834: 1832: 1826: 1824: 1822: 1821:Guitar Circle 1818: 1813: 1809: 1805: 1801: 1797: 1791: 1785: 1765: 1758: 1756: 1752: 1750: 1746: 1745:perfect fifth 1741: 1739: 1735: 1731: 1727: 1722: 1720: 1716: 1712: 1708: 1704: 1699: 1694: 1692: 1688: 1684: 1680: 1672: 1671: 1669: 1663: 1654: 1645: 1638: 1636: 1634: 1624: 1621: 1618: 1615: 1612: 1609: 1606: 1605: 1601: 1598: 1595: 1592: 1589: 1586: 1583: 1582: 1578: 1575: 1572: 1569: 1566: 1563: 1560: 1559: 1555: 1552: 1549: 1546: 1543: 1540: 1537: 1536: 1532: 1529: 1526: 1523: 1520: 1517: 1514: 1513: 1509: 1506: 1503: 1500: 1497: 1494: 1491: 1490: 1486: 1483: 1480: 1477: 1474: 1469: 1467: 1466: 1462: 1458: 1455: 1433: 1429: 1426: 1422: 1421: 1416: 1415: 1410: 1409: 1382: 1381: 1379: 1370: 1363: 1361: 1359: 1358:perfect fifth 1355: 1350: 1348: 1343: 1341: 1332: 1331: 1329: 1323: 1314: 1306: 1299: 1297: 1295: 1294:improvisation 1291: 1286: 1284: 1283: strings 1282: 1277: 1273: 1272: strings 1271: 1265: 1210: 1209: 1208: 1205: 1203: 1199: 1195: 1191: 1182: 1171: 1152: 1140: 1115: 1108: 1106: 1073: 1071: 1067: 1066:Doubled notes 1063: 1058: 1056: 1053:, Gb) of the 1046: 1042: 1038: 1024: 1003: 1002: 998: 996: 989: 982: 980: 977: 969: 967: 965: 961: 960:perfect-fifth 957: 948: 946: 942: 936: 933: 930: 929: 928: 926: 922: 918: 911: 907: 906:perfect fifth 904:7 semitones ( 903: 900: 896: 892: 888: 885:6 semitones ( 884: 881: 877: 874:5 semitones ( 873: 870: 866: 863:4 semitones ( 862: 859: 855: 852:3 semitones ( 851: 850: 849: 845: 841: 837: 828: 820: 811: 805: 795: 791: 786: 779: 777: 775: 771: 766: 764: 758: 750: 748: 746: 736: 732: 716: 713: 698: 695: 692: 689: 688: 672: 669: 666: 651: 648: 645: 644: 628: 625: 622: 607: 604: 601: 600: 596: 581: 578: 563: 560: 557: 556: 540: 537: 522: 519: 516: 513: 512: 496: 493: 478: 475: 472: 469: 468: 464: 461: 458: 455: 452: 449: 448: 445: 443: 439: 436: 428: 427: 426: 424: 418: 408: 395: 393: 385: 379: 369: 367: 365: 361: 357: 352: 349: 345: 338: 334: 333:perfect fifth 331:7 semitones ( 330: 327: 323: 319: 315: 312:6 semitones ( 311: 308: 304: 301: 299: 293: 291: 289: 283: 282: 281: 278: 276: 272: 268: 264: 260: 256: 252: 251: 245: 243: 239: 235: 231: 227: 224: 215: 214: 209: 205: 201: 197: 193: 189: 185: 181: 177: 173: 169: 165: 161: 157: 153: 149: 145: 141: 137: 133: 129: 125: 121: 117: 113: 109: 105: 101: 97: 93: 91:Disadvantages 89: 85: 81: 76: 72: 66: 62: 57: 49: 44: 37: 34: 30: 19: 4162:Steel guitar 4119:Minor thirds 4097:Major thirds 4028:New standard 3998:Major thirds 3988:Minor thirds 3961: 3931: 3922: 3907: 3899: 3891: 3866: 3858: 3843: 3836: 3824: 3812: 3805: 3781: 3769: 3756: 3749: 3731: 3713: 3706: 3676: 3658: 3646: 3638: 3630: 3622: 3614: 3606: 3598: 3443:Guitar Craft 3413:: Charts of 3401:minor chords 3397:major chords 3392:: Charts of 3365:Major thirds 3332: 3315:. Retrieved 3288: 3285:Marcus, Gary 3274:. Retrieved 3270:the original 3246:. Retrieved 3226:. Retrieved 3217: 3201:. Retrieved 3192: 3178: 3154: 3120: 3098: 3084: 3072:. Retrieved 3062: 3049: 3035:, retrieved 3031:the original 3015: 3008: 2997: 2989:the original 2963:the original 2945: 2933:. Retrieved 2929: 2920: 2908: 2887: 2875:. Retrieved 2870: 2866: 2852: 2840: 2827:. Retrieved 2813: 2730: 2709: 2704: 2686: 2655: 2649: 2637: 2632:, p. 1) 2625: 2615: 2610:, p. 2) 2588:. Retrieved 2584:the original 2565: 2518: 2506:. Retrieved 2496: 2484:. Retrieved 2474: 2452:, p. 9) 2445: 2418:. Retrieved 2416:, p. 1) 2405: 2380:, p. 3) 2373: 2366:Denyer (1992 2361: 2154:Major thirds 2101: 2088: 2080:Major sixths 2072:Minor sixths 2067:All fourths 2042:Minor sixths 2038:Major thirds 2032:Major sixths 2028:Minor thirds 2023:Left-handed 2020:Right-handed 1940: 1936: 1925: 1910: 1880: 1876:major second 1872:minor second 1865: 1849: 1838: 1830: 1812:distribution 1793: 1790:Guitar Craft 1753: 1742: 1730:scale length 1725: 1723: 1707:major thirds 1703:minor thirds 1698:Robert Fripp 1695: 1676: 1630: 1460: 1435: 1431: 1418: 1412: 1406: 1404: 1351: 1344: 1336: 1287: 1280: 1275: 1269: 1266: 1262: 1206: 1198:major thirds 1189: 1188: 1109:Major thirds 1074: 1062:barre chords 1059: 1043:. Thus each 1034: 999:Minor thirds 994: 973: 964:barre chords 952: 943: 940: 924: 916: 914: 846: 842: 839: 793: 789: 762: 760: 741: 734: 432: 420: 391: 363: 359: 353: 347: 343: 341: 297: 287: 279: 266: 248:Guitar  247: 246: 229: 220: 211: 200:Minor sixths 172:New standard 136:Major thirds 124:Minor thirds 99: 33: 4157:Bass guitar 4008:All fourths 3902:-A-D-F♯-A-D 3089:Fripp (2011 2398:Patt, Ralph 2233:bass guitar 2213:All fourths 2200:Minor-sixth 2159:Major third 2141:Left-handed 2136:open chords 2127:Advantages: 2115:(Number of 2051:All fifths 2048:All fourths 1887:pitch class 1719:jazz chords 1607:6th string 1584:5th string 1561:4th string 1538:3rd string 1515:2nd string 1492:1st string 1300:All fourths 1041:minor third 865:major third 854:minor third 751:Alternative 690:6th string 646:5th string 602:4th string 558:3rd string 514:2nd string 470:1st string 435:major-third 275:major third 232:have equal 223:alternative 148:All fourths 4233:Categories 4058:Repetitive 4034:All fifths 3894:-G-C-G-C-E 3846:-G-D-G-B-D 3839:-F-C-F-A-C 3808:-C-G-C-E-G 3759:-B-D-G-B-D 3752:-A-C-F-A-C 3709:-E-G-C-E-G 3577:Repetitive 3352:0415974410 3248:8 December 3147:References 2721:0881884235 2508:4 February 2486:4 February 2327:Kei Nakano 2322:Carl Kress 2283:All fifths 2276:Shawn Lane 2206:Ralph Patt 2144:involution 2123:Repetition 2064:All fifths 1977:with  1913:involution 1897:See also: 1788:See also: 1738:Carl Kress 1666:See also: 1662:All fifths 1326:See also: 1025:B2–D3–F3–A 834:See also: 780:Properties 348:vertically 344:diagonally 288:Diminished 188:All fifths 83:Advantages 3966:semitones 3861:-C♯-E-A-E 3582:Overtones 3529:Nashville 3394:intervals 2897:Tamm 2003 2877:8 January 2189:7 strings 2117:semitones 1988:− 1971:semitones 1798:(NST) of 1648:reversed. 1487:5th fret 1123:2–C3–E3–A 1099:3–A3–C4–E 1087:2–A2–C3–E 1016:2–A2–C3–E 745:root note 442:semitones 298:Augmented 104:semitones 4218:Category 3934:-D-G-B-D 3925:-C-F-A-F 3913:♯ 3884:♯ 3878:♯ 3872:♯ 3830:♯ 3827:-E-B-E-G 3818:♯ 3815:-D-A-D-F 3799:♯ 3793:♯ 3787:♯ 3775:♯ 3772:-A-E-A-C 3743:♯ 3737:♯ 3725:♯ 3719:♯ 3700:♯ 3694:♯ 3688:♯ 3682:♯ 3670:♯ 3664:♯ 3519:Standard 3382:") and ( 3330:(2006). 3287:(2012). 3074:25 March 3037:25 March 2873:: 88–103 2702:(eds.). 2678:16526869 2112:Interval 1932:involute 1683:mandolin 1484:4th fret 1481:3rd fret 1478:2nd fret 1475:1st fret 1451:♯ 1445:♯ 1439:♯ 1398:♯ 1392:♯ 1386:♯ 1256:♭ 1250:♭ 1244:♭ 1238:♭ 1232:♯ 1226:♯ 1220:♯ 1214:♯ 1126:♭ 1120:♭ 1102:♭ 1096:♭ 1090:♭ 1084:♭ 1078:♭ 1050:♭ 1028:♭ 1019:♭ 1013:♭ 1007:♭ 983:Examples 790:standard 726:♭ 720:♯ 708:♭ 702:♯ 682:♭ 676:♯ 661:♭ 655:♯ 638:♭ 632:♯ 617:♭ 611:♯ 591:♭ 585:♯ 573:♭ 567:♯ 550:♭ 544:♯ 532:♭ 526:♯ 506:♭ 500:♯ 488:♭ 482:♯ 438:interval 396:Standard 71:interval 4077:Trivial 4065:pitches 3962:Regular 3509:General 3317:27 June 3276:27 June 2935:30 June 2590:10 June 2420:10 June 2258:Tritone 2202:tuning 2098:Summary 1461:Tritone 1420:tritone 1235:3 (or F 1045:repeats 1031:3–B3–D4 956:tritone 891:tritone 794:regular 788:In the 318:tritone 263:guitars 257:to the 255:pitches 253:assign 250:tunings 112:Trivial 73:tunings 64:Aliases 53:octave. 4030:(7, 3) 3978:Unison 3910:-B-E-G 3740:-B-E-G 3722:-A-D-F 3667:-E-A-C 3573:Tuning 3524:DADGAD 3421:, and 3419:chords 3415:scales 3403:, and 3399:, and 3350:  3340:  3295:  3228:19 May 3203:19 May 3165:  3110:  3023:  2829:23 May 2718:  2676:  2666:  1969:  1905:, and 1868:unison 1810:-time 1691:violin 1448:3–C4–F 1442:2–C3–F 1417:" or " 1395:3–C4–F 1389:2–C3–F 1259:3–C4). 1247:2–C3–F 1223:2–E3–G 921:octave 765:tuning 300:tuning 290:tuning 221:Among 3645:Open 3637:Open 3629:Open 3621:Open 3613:Open 3605:Open 3597:Open 3586:Other 3552:Slide 3222:(PDF) 3197:(PDF) 2337:Notes 2092:fixed 1687:cello 1281:eight 1270:seven 1022:3, or 893:, or 423:notes 320:, or 238:notes 4208:List 4152:Terz 4062:open 3916:-B-E 3881:-B-D 3875:-B-F 3790:-B-D 3784:-B-F 3691:-B-D 3554:and 3548:Open 3348:LCCN 3338:ISBN 3319:2012 3293:ISBN 3278:2012 3250:2012 3230:2012 3205:2012 3163:ISBN 3104:ISMN 3076:2012 3039:2012 3021:ISBN 2937:2023 2879:2013 2831:2012 2716:ISBN 2674:OCLC 2664:ISBN 2592:2012 2578:and 2510:2013 2488:2013 2422:2012 2412:and 1926:For 1808:life 1587:F#2 1541:F#3 1495:F#4 1470:open 1428:that 1383:C2–F 1211:E2–G 1105:4). 1004:C2–E 974:The 958:and 453:open 69:All- 4115:(3) 4109:(3) 3378:, " 3112:Sku 3108:DGM 3069:NPR 2895:. ( 2290:(7) 2260:(6) 2220:(5) 2161:(4) 1945:is 1802:'s 1734:key 1689:or 1625:F2 1619:D#2 1613:C#2 1610:C2 1602:B2 1599:A#2 1593:G#2 1579:F3 1573:D#3 1567:C#3 1564:C3 1556:B3 1553:A#3 1547:G#3 1533:F4 1527:D#4 1521:C#4 1518:C4 1510:B4 1507:A#4 1501:G#4 1276:six 1253:3–A 1241:2–A 1229:3–B 1217:2–B 1093:3–G 1081:2–G 1010:2–G 908:): 897:): 878:): 867:): 856:): 723:2/A 705:2/G 693:E2 679:3/D 658:2/B 649:A2 635:3/G 614:3/E 605:D3 597:B3 588:3/B 570:3/A 561:G3 547:4/E 529:4/D 517:B3 503:4/A 485:4/G 473:E4 335:): 324:): 261:of 4235:: 4170:E9 4168:, 4166:C6 3930:D- 3921:C- 3869:-F 3857:E- 3833:-B 3821:-A 3796:-F 3778:-E 3746:-B 3734:-G 3728:-A 3716:-F 3697:-F 3685:-F 3679:-D 3673:-E 3661:-C 3445:: 3417:, 3346:. 3132:^ 3061:. 2983:. 2971:^ 2957:. 2928:. 2899:, 2871:20 2869:. 2865:. 2859:: 2804:, 2794:^ 2779:^ 2742:^ 2708:. 2672:. 2658:. 2600:^ 2551:^ 2534:^ 2525:, 2457:^ 2430:^ 2404:. 2385:^ 2345:^ 1985:12 1901:, 1740:. 1726:B4 1685:, 1635:. 1622:E2 1616:D2 1596:A2 1590:G2 1576:E3 1570:D3 1550:A3 1544:G3 1530:E4 1524:D4 1504:A4 1498:G4 1296:. 1285:. 1072:. 1057:. 1037:m3 889:, 729:2 714:G2 696:F2 685:3 670:C3 667:B2 641:3 626:F3 623:E3 579:A3 553:4 538:D4 520:C4 509:4 494:G4 476:F4 444:. 425:: 316:, 244:. 228:, 178:, 4172:) 4164:( 4125:) 4123:4 4121:( 4103:) 4101:3 4099:( 4093:) 4091:2 4089:( 4083:) 4081:1 4079:( 4067:) 4060:( 4040:) 4038:7 4036:( 4024:) 4022:6 4020:( 4014:) 4012:5 4010:( 4004:) 4002:4 4000:( 3994:) 3992:3 3990:( 3984:) 3982:0 3980:( 3968:) 3964:( 3932:G 3923:F 3908:E 3900:D 3892:C 3867:B 3859:A 3844:G 3837:F 3825:E 3813:D 3806:C 3782:B 3770:A 3757:G 3750:F 3732:E 3714:D 3707:C 3677:B 3659:A 3647:G 3639:F 3631:E 3623:D 3615:C 3607:B 3599:A 3558:) 3550:( 3489:e 3482:t 3475:v 3425:. 3407:. 3354:. 3321:. 3303:) 3301:. 3280:. 3252:. 3232:. 3207:. 3171:. 3078:. 2939:. 2903:) 2881:. 2835:. 2833:. 2808:) 2724:. 2680:. 2594:. 2529:) 2512:. 2490:. 2424:. 2191:) 2138:. 2119:) 1991:n 1957:n 1183:. 954:( 925:s 917:s 901:, 882:, 871:, 860:, 717:G 711:2 699:F 673:C 664:2 652:A 629:F 620:3 608:D 594:3 582:A 576:3 564:G 541:D 535:4 523:C 497:G 491:4 479:F 409:. 328:, 309:, 302:, 206:) 204:8 202:( 194:) 192:7 190:( 182:) 180:3 176:7 174:( 166:) 164:6 162:( 154:) 152:5 150:( 142:) 140:4 138:( 130:) 128:3 126:( 118:) 116:0 114:( 106:) 102:( 31:. 20:)

Index

Regular tunings
Regular temperament

interval
Regular tunings
semitones
Trivial
0
Minor thirds
3
Major thirds
4
All fourths
5
Augmented fourths
6
New standard
7
3
All fifths
7
Minor sixths
8
Guitar tunings
alternative
guitar-tunings
musical intervals
notes
open strings
tunings

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