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Pitch (music)

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Above 2,000 Hz, the pitch gets higher as the sound gets louder. These results were obtained in the pioneering works by S. Stevens and W. Snow. Later investigations, i.e. by A. Cohen, have shown that in most cases the apparent pitch shifts were not significantly different from pitch‐matching errors. When averaged, the remaining shifts followed the directions of Stevens's curves but were small (2% or less by frequency, i.e. not more than a semitone).
3312: 693: 3302: 38: 357:. However, a purely place-based theory cannot account for the accuracy of pitch perception in the low and middle frequency ranges. Moreover, there is some evidence that some non-human primates lack auditory cortex responses to pitch despite having clear tonotopic maps in auditory cortex, showing that tonotopic place codes are not sufficient for pitch responses. 155:). Pitch is closely related to frequency, but the two are not equivalent. Frequency is an objective, scientific attribute which can be measured. Pitch is the subjective perception of a sound wave by the individual person, which cannot be directly measured. However, this does not necessarily mean that people will not agree on which notes are higher and lower. 3454: 1746:
For the purposes of this book we decided to take a conservative approach, and to focus on the relationship between pitch and musical melodies. Following the earlier ASA definition, we define pitch as 'that attribute of sensation whose variation is associated with musical melodies.' Although some
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of action potentials in the auditory nerve. However, it has long been noted that a neural mechanism that may accomplish a delay—a necessary operation of a true autocorrelation—has not been found. At least one model shows that a temporal delay is unnecessary to produce an autocorrelation model of
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level (loudness, volume) of the tone, especially at frequencies below 1,000 Hz and above 2,000 Hz. The pitch of lower tones gets lower as sound pressure increases. For instance, a tone of 200 Hz that is very loud seems one semitone lower in pitch than if it is just barely audible.
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relating vertical height to sound pitch is shared by most languages. At least in English, it is just one of many deep conceptual metaphors that involve up/down. The exact etymological history of the musical sense of high and low pitch is still unclear. There is evidence that humans do actually
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between cochlear filters; however, earlier work has shown that certain sounds with a prominent peak in their autocorrelation function do not elicit a corresponding pitch percept, and that certain sounds without a peak in their autocorrelation function nevertheless elicit a pitch. To be a more
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though both have indefinite pitch, because its sound contains higher frequencies. In other words, it is possible and often easy to roughly discern the relative pitches of two sounds of indefinite pitch, but sounds of indefinite pitch do not neatly correspond to any specific pitch.
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attribute of sound. Historically, the study of pitch and pitch perception has been a central problem in psychoacoustics, and has been instrumental in forming and testing theories of sound representation, processing, and perception in the auditory system.
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might find this too restrictive, an advantage of this definition is that it provides a clear procedure for testing whether or not a stimulus evokes a pitch, and a clear limitation on the range of stimuli that we need to consider in our discussions.
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or otherwise. A complex tone composed of two sine waves of 1000 and 1200 Hz may sometimes be heard as up to three pitches: two spectral pitches at 1000 and 1200 Hz, derived from the physical frequencies of the pure tones, and the
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Schneider, P.; Sluming, V.; Roberts, N.; Scherg, M.; Goebel, R.; Specht, H.-J.; Dosch, H.G.; Bleeck, S.; Stippich, C.; Rupp, A. (2005). "Structural and Functional Asymmetry of Lateral Heschl's Gyrus Reflects Pitch Perception Preference".
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at which a change is perceived) depends on the tone's frequency content. Below 500 Hz, the jnd is about 3 Hz for sine waves, and 1 Hz for complex tones; above 1000 Hz, the jnd for sine waves is about 0.6% (about 10
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on a non-transposing instrument like a violin (which indicates that at one time these wind instruments played at a standard pitch a tone lower than violin pitch). To refer to that pitch unambiguously, a musician calls it
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of pitch perception try to explain how the physical sound and specific physiology of the auditory system work together to yield the experience of pitch. In general, pitch perception theories can be divided into
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is one that a listener finds impossible or relatively difficult to identify as to pitch. Sounds with indefinite pitch do not have harmonic spectra or have altered harmonic spectra—a characteristic known as
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A sound generated on any instrument produces many modes of vibration that occur simultaneously. A listener hears numerous frequencies at once. The vibration with the lowest frequency is called the
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are an important class of overtones with frequencies that are integer multiples of the fundamental. Whether or not the higher frequencies are integer multiples, they are collectively called the
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of action potentials to frequencies in a stimulus. The precise way this temporal structure helps code for pitch at higher levels is still debated, but the processing seems to be based on an
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can be set to either 427 Hz (about halfway between A415 and A440) or 430 Hz (also between A415 and A440 but slightly sharper than the quarter tone). And ensembles specializing in
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now the most widely used method of tuning that scale. In it, the pitch ratio between any two successive notes of the scale is exactly the twelfth root of two (or about 1.05946). In
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from voices and other instruments (and even from each other). As a result, musicians need a way to refer to a particular pitch in an unambiguous manner when talking to each other.
429:. The total number of perceptible pitch steps in the human hearing range is about 1,400; the total number of notes in the equal-tempered scale, from 16 to 16,000 Hz, is 120. 287: 64: 2058:
Cohen, A. (1961). Further investigation of the effects of intensity upon the pitch of pure tones. Journal of the Acoustical Society of America, 33, 1363–1376.
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The one with the slowest vibration rate—the one lowest in pitch—is referred to as the fundamental frequency, and the others are collectively called overtones.
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for frequency, it is almost entirely determined by how quickly the sound wave is making the air vibrate and has almost nothing to do with the intensity, or
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in which octaves have size 12, semitones (the distance between adjacent keys on the piano keyboard) have size 1, and A440 is assigned the number 69. (See
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at 200 Hz, corresponding to the repetition rate of the waveform. In a situation like this, the percept at 200 Hz is commonly referred to as the
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The pitch of complex tones can be ambiguous, meaning that two or more different pitches can be perceived, depending upon the observer. When the actual
1589:" and "indeterminate-pitch chants". Gliding pitches are used in most cultures, but are related to the discrete pitches they reference or embellish. 957:. The system is flexible enough to include "microtones" not found on standard piano keyboards. For example, the pitch halfway between C (60) and C 610:, has been set in the 20th century as A = 415 Hz—approximately an equal-tempered semitone lower than A440 to facilitate transposition. The 606:" or sometimes "A440"), although other frequencies, such as 442 Hz, are also often used as variants. Another standard pitch, the so-called 2429: 2404: 2025: 1925: 1893: 1863: 1836: 1804: 1772: 1739: 1715: 194: 90:, or more commonly, pitch is the quality that makes it possible to judge sounds as "higher" and "lower" in the sense associated with musical 574: 3865: 838:; in other temperaments, these may be distinct pitches. Human perception of musical intervals is approximately logarithmic with respect to 2348:
Fitzgerald, M. B.; Wright, B. (December 2005). "A Perceptual Learning Investigation of the Pitch Elicited by Amplitude-Modulated Noise".
953:.) Distance in this space corresponds to musical intervals as understood by musicians. An equal-tempered semitone is subdivided into 100 549:
in a group are tuned to for a performance. Concert pitch may vary from ensemble to ensemble, and has varied widely over musical history.
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in the auditory system, must be in effect for the perception of high frequencies, since neurons have an upper limit on how fast they can
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Kaernbach, C.; Demany, L. (October 1998). "Psychophysical Evidence Against the Autocorrelation Theory of Auditory Temporal Processing".
205:, of the wave. That is, "high" pitch means very rapid oscillation, and "low" pitch corresponds to slower oscillation. Despite that, the 197:, pitch is the auditory attribute of sound allowing those sounds to be ordered on a scale from low to high. Since pitch is such a close 573: 417:
is typically tested by playing two tones in quick succession with the listener asked if there was a difference in their pitches. The
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perceive that the source of a sound is slightly higher or lower in vertical space when the sound frequency is increased or reduced.
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Terhardt, E., Stoll, G. and Seewann, M. (1982). "Algorithm for Extraction of Pitch and Pitch Salience from Complex Tonal Signals".
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Moore, B.C. & Glasberg, B.R. (1986) "Thresholds for Hearing Mistuned Partials as Separate Tones in Harmonic Complexes".
3946: 1619: 842:: the perceived interval between the pitches "A220" and "A440" is the same as the perceived interval between the pitches 518:
It is still possible for two sounds of indefinite pitch to clearly be higher or lower than one another. For instance, a
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is all the octaves of a frequency. In many analytic discussions of atonal and post-tonal music, pitches are named with
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Discrete pitches, rather than continuously variable pitches, are virtually universal, with exceptions including "
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is one where a listener can possibly (or relatively easily) discern the pitch. Sounds with definite pitch have
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Temporal theories offer an alternative that appeals to the temporal structure of action potentials, mostly the
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can be precisely determined through physical measurement, it may differ from the perceived pitch because of
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Schwartz, David A.; Dale Purves (May 2004). "Pitch Is Determined by Naturally Occurring Periodic Sounds".
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have their origin in the variety of pitch standards. In modern times, they conventionally have their
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The following table shows frequencies in Hertz for notes in various octaves, named according to the
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Stevens S. S. The relation of pitch to intensity//J. Acoust. Soc. Amer. 1935. Vol. 6. p. 150–154.
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complete model, autocorrelation must therefore apply to signals that represent the output of the
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Snow W. B. (1936) Change of Pitch with Loudness at Low Frequencies. J. Acoust. Soc. Am/ 8:14–19.
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Lower pitches have lower frequency. C3, an octave below middle C. The frequency is half that of
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corresponds very nearly to the repetition rate of periodic or nearly-periodic sounds, or to the
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set the A above middle C to 432 Hz or 435 Hz when performing repertoire from the
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Norman-Haignere, S.V.; Kanwisher, N.G.; McDermott, J.; Conway, B.R. (10 June 2019).
1990: 3737: 3547: 3423: 3373: 3196: 3186: 3161: 3072: 3035: 2937: 2925: 2915: 2878: 2865: 2815: 2707: 1527: 954: 682: 648: 629: 410: 293: 218: 159: 140: 99: 935:{\displaystyle p=69+12\times \log _{2}{\left({\frac {f}{440{\mbox{ Hz}}}}\right)}} 41:
In musical notation, the different vertical positions of notes indicate different
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because of octave and enharmonic equivalency (for example, in a serial system, C
1555: 946: 692: 370: 278: 17: 3724: 3378: 3171: 3045: 2910: 2905: 2148: 2130:"Neural Correlates of the Pitch of Complex Tones. I. Pitch and Pitch Salience" 2088: 1669: 1609: 1598: 586: 519: 183: 75: 2096: 225:
of the time interval between repeating similar events in the sound waveform.
3870: 3855: 3692: 3635: 3622: 3241: 3231: 3191: 3156: 3040: 2800: 2702: 523: 495: 489: 297: 233: 202: 175: 148: 121:, but pitch is not a purely objective physical property; it is a subjective 118: 83: 2377: 2263: 2213: 2114: 1982: 2156: 3880: 3789: 3574: 3569: 3537: 3522: 3092: 3077: 2920: 2895: 2618: 2282:"Perceptual Pitch Shift for Sounds with Similar Waveform Autocorrelation" 1519: 640: 599: 472: 346: 237: 107: 2495:, edited by J. Kunst. The Hague: Marinus Nijhoff. Cited in Burns (1999). 3900: 3885: 3383: 3357: 3067: 3050: 3025: 3010: 2995: 2952: 2795: 2634: 2624: 2059: 1825:
Plack, Christopher J.; Andrew J. Oxenham; Richard R. Fay, eds. (2005).
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Plack, Christopher J.; Andrew J. Oxenham; Richard R. Fay, eds. (2005).
1559: 644: 375: 3453: 2369: 2298: 2281: 2205: 827:, the notion of pitch is insensitive to "spelling": the description "G 186:
waveforms). Complex and aperiodic sound waves can often be assigned a
3816: 3553: 3516: 3494: 3082: 3020: 2947: 2775: 2770: 2691: 2676: 2606: 2334: 2255: 1763:. In Mari Riess Jones; Richard R. Fay & Arthur N. Popper (eds.). 1543: 1511: 390:, which may be ambiguous, that indicates the octave the pitch is in. 379: 313: 111: 91: 2313:
Burns, E.M.; Viemeister, N. F. (October 1976). "Nonspectral Pitch".
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Note frequencies, four-octave C major diatonic scale, starting with
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Roy D. Patterson; Etienne Gaudrain & Thomas C. Walters (2010).
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Hearing Loss: Determining Eligibility for Social Security Benefits
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above middle C. The frequency is twice that of middle C (523 Hz).
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Pressnitzer, D.; Cheveigné, A. de; Winter, I.M. (January 2002).
851: 3589: 3467: 3330: 2727: 2579: 2395:. In Jacob Benesty; M. Mohan Sondhi & Yiteng Huang (eds.). 459:
Not all musical instruments make notes with a clear pitch. The
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doubles the frequency of a note; for example, an octave above
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For a comprehensive list of frequencies of musical notes, see
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The relative perception of pitch can be fooled, resulting in
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Perceptual property in music ordering sounds from low to high
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Higher pitches have higher frequency. Oscillogram of C5, an
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ambiguities, and therefore is best decomposed into a pitch
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Pitch is an auditory sensation in which a listener assigns
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Burns, Edward M. (1999). "Intervals, Scales, and Tuning",
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This article is about pitch in music. For other uses, see
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Standard pitch is a more widely accepted convention. The
1916:. In Harold L. Hawkins & Teresa A. McMullen (eds.). 1761:"The Perception of Family and Register in Musical Tones" 808:
For example, one might refer to the A above middle C as
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Music Cultures of the Pacific, the Near East, and Asia
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Birger Kollmeier; Thomas Brand & B. Meyer (2008).
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of sound waves can often be characterized in terms of
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Musical note § Distinguishing pitches of a scale
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is usually set at 440 Hz (often written as "A =
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are usually associated with, and thus quantified as,
1601:(harmonic resonance based on equal string divisions) 3848: 3815: 3723: 3621: 3260: 3134: 3101: 2981: 2864: 2761: 213:In most cases, the pitch of complex sounds such as 2275: 2273: 934: 1852:Robert A. Dobie & Susan B. Van Hemel (2005). 1708:Signal Processing Methods for Music Transcription 1487:is the most common method of organization, with 2468:On the Sensations of Tone (English Translation) 2177:Cheveigné, A. de; Pressnitzer, D. (June 2006). 2128:Cariani, P.A.; Delgutte, B. (September 1996). 1888:(4th ed.). Wiley-Blackwell. p. 381. 1582:are functionally the same, one octave apart). 1475:The relative pitches of individual notes in a 3601: 3479: 3342: 2739: 2591: 2020:. Dover Publications. pp. 171, 248–251. 1914:"Auditory Representation of Timbre and Pitch" 8: 2565:Journal of the Acoustical Society of America 2543:Journal of the Acoustical Society of America 2350:Journal of the Acoustical Society of America 2315:Journal of the Acoustical Society of America 2236:Journal of the Acoustical Society of America 2186:Journal of the Acoustical Society of America 1858:. National Academies Press. pp. 50–51. 1554:, a "pitch" is a specific frequency while a 421:becomes smaller if the two tones are played 1945:The Spatial Character of High and Low Tones 1939: 1937: 1877: 1875: 789:A combination of letters and numbers—as in 721:. Unsourced material may be challenged and 545:) is the conventional pitch reference that 147:based primarily on their perception of the 3608: 3594: 3586: 3486: 3472: 3464: 3349: 3335: 3327: 3301: 2746: 2732: 2724: 2598: 2584: 2576: 1788: 1786: 1784: 831:double sharp" refers to the same pitch as 443:. There are several of these, such as the 2297: 2104: 1912:Richard Lyon & Shihab Shamma (1996). 917: 908: 903: 894: 870: 793:, where notes are labelled upwards from C 741:Learn how and when to remove this message 277:(131 Hz). (Scale: 1 square is equal to 1 2006: 2004: 2002: 2000: 1479:may be determined by one of a number of 972: 800:Numbers that represent the frequency in 425:as the listener is then able to discern 256:Pitch depends to a lesser degree on the 2447:The Concise Grove Dictionary of Music: 2424:. New York: Penguin Group. p. 40. 1820: 1818: 1816: 1695: 854:standard to map fundamental frequency, 647:, when playing a note written in their 263: 2397:Springer Handbook of Speech Processing 1907: 1905: 1574:are considered the same pitch, while C 968:"German method" of octave nomenclature 584: 345:A place code, taking advantage of the 1518:is 880 Hz. If however the first 1499:, for example), different methods of 804:(Hz), the number of cycles per second 651:as C, sounds a pitch that is called B 639:For example, the most common type of 195:American National Standards Institute 7: 2550:Harmony: A Psychoacoustical Approach 2060:https://dx.doi.org/10.1121/1.1908441 1799:. Springer. pp. 145, 284, 287. 719:adding citations to reliable sources 2491:Sachs, C. and Kunst, J. (1962). In 1828:Pitch: Neural Coding and Perception 1731:Pitch: Neural Coding and Perception 1704:Introduction to Music Transcription 1685:Vocal and instrumental pitch ranges 1526:, as in the extremes of the piano, 2451:, Oxford University Press (1994), 1949:Journal of Experimental Psychology 531:Pitch standards and standard pitch 25: 2286:Acoustics Research Letters Online 1793:Hartmann, William Morris (1997). 3452: 3311: 3310: 3300: 2552:. Berlin: Springer-Verlag, 1989. 2393:"Perception of Speech and Sound" 1885:Blackwell Handbook of Perception 1495:systems (as used in the time of 691: 585:Problems playing this file? See 570: 461:unpitched percussion instruments 401:just-noticeable difference (jnd) 305: 286: 266: 236:, also known as upper partials, 59: 48: 1538:Other musical meanings of pitch 1506:In almost all of these systems 1483:. In the west, the twelve-note 369:pitch perception, appealing to 2017:Music, Physics and Engineering 478:or close to harmonic spectra. 1: 1920:. Springer. pp. 221–23. 1796:Signals, Sound, and Sensation 1620:Harmonic pitch class profiles 522:sounds higher pitched than a 455:Definite and indefinite pitch 117:Pitch may be quantified as a 3770:Perception as interpretation 1975:10.1016/j.heares.2004.01.019 1767:. Springer. pp. 37–38. 487:; the other frequencies are 322:Theories of pitch perception 253:of the frequencies present. 3111:History of music publishing 2465:Helmholtz, Hermann (1885). 2422:This Is Your Brain on Music 1882:E. Bruce Goldstein (2001). 779:Pitches are labeled using: 143:to relative positions on a 3968: 3419:List of chord progressions 2455:. Retrieved 3 August 2007. 2137:Journal of Neurophysiology 1660:Pitch of brass instruments 963:(61) can be labeled 60.5. 752: 680: 632:transposed into different 534: 394:Just-noticeable difference 29: 3501: 3450: 3364: 3316:Category:Musical notation 3296: 3182:Numbered musical notation 2973:Scientific pitch notation 2613: 2149:10.1152/jn.1996.76.3.1698 2089:10.1038/s41593-019-0410-7 1655:Pitch detection algorithm 791:scientific pitch notation 755:Scientific pitch notation 2963:Helmholtz pitch notation 2493:The Wellsprings of Music 2420:Levitin, Daniel (2007). 2399:. Springer. p. 65. 785:Helmholtz pitch notation 3891:Relational frame theory 3866:Higher nervous activity 3306:List of musical symbols 3177:Nashville Number System 2519:The Psychology of Music 626:Transposing instruments 541:A pitch standard (also 447:, but most notably the 251:greatest common divisor 3861:Experiential avoidance 2856:Transposing instrument 2471:. Cosimo. p. 15. 1734:. New York: Springer. 945:This creates a linear 936: 823:. In standard Western 776: 559: 465:percussion instruments 296:of middle C (262 Hz) ( 68: 32:Pitch (disambiguation) 3876:Ironic process theory 3641:Cognitive flexibility 3511:Fundamental frequency 2548:Parncutt, R. (1989). 2449:Hermann von Helmholtz 1640:Piano key frequencies 1635:Music and mathematics 1497:Johann Sebastian Bach 937: 840:fundamental frequency 767: 616:authentic performance 558: 484:fundamental frequency 249:, which is often the 230:fundamental frequency 94:. Pitch is a major 78:property that allows 40: 3947:Cognitive musicology 1918:Auditory Computation 1630:Meantone temperament 951:Frequencies of notes 869: 858:, to a real number, 759:Frequencies of notes 715:improve this section 3906:Thought suppression 3202:Percussion notation 2504:Malm, W.P. (1967). 2362:2005ASAJ..118.3794F 2327:1976ASAJ...60..863B 2248:1998ASAJ..104.2298K 2198:2006ASAJ..119.3908D 2077:Nature Neuroscience 1943:Carroll C. Pratt, " 547:musical instruments 506:A sound or note of 247:missing fundamental 135:Pitch and frequency 82:to be ordered on a 3565:Sympathetic string 1951:13 (1930): 278–85. 1552:musical set theory 932: 922: 797:, the 16 Hz C 777: 560: 69: 3919: 3918: 3678:Critical thinking 3646:Cognitive liberty 3583: 3582: 3560:Spectral envelope 3461: 3460: 3394:Chord progression 3324: 3323: 3268:Mensural notation 2721: 2720: 2431:978-0-452-28852-2 2406:978-3-540-49125-5 2370:10.1121/1.2074687 2299:10.1121/1.1416671 2206:10.1121/1.2195291 2027:978-0-486-21769-7 1927:978-0-387-97843-7 1895:978-0-631-20683-5 1865:978-0-309-09296-8 1838:978-0-387-23472-4 1806:978-1-56396-283-7 1774:978-1-4419-6113-6 1741:978-0-387-23472-4 1716:978-0-387-30667-4 1645:Pitch circularity 1532:octave stretching 1489:equal temperament 1468: 1467: 925: 921: 825:equal temperament 751: 750: 743: 575: 476:frequency spectra 355:action potentials 193:According to the 65: 54: 16:(Redirected from 3959: 3616:Mental processes 3610: 3603: 3596: 3587: 3488: 3481: 3474: 3465: 3456: 3351: 3344: 3337: 3328: 3314: 3313: 3304: 3303: 3167:Graphic notation 2831:Rehearsal letter 2755:Musical notation 2748: 2741: 2734: 2725: 2600: 2593: 2586: 2577: 2530: 2515: 2509: 2502: 2496: 2489: 2483: 2482: 2462: 2456: 2445: 2439: 2438: 2417: 2411: 2410: 2388: 2382: 2381: 2356:(6): 3794–3803. 2345: 2339: 2338: 2335:10.1121/1.381166 2310: 2304: 2303: 2301: 2277: 2268: 2267: 2256:10.1121/1.423742 2242:(4): 2298–2306. 2231: 2225: 2224: 2222: 2220: 2192:(6): 3908–3918. 2183: 2174: 2168: 2167: 2165: 2163: 2143:(3): 1698–1716. 2134: 2125: 2119: 2118: 2108: 2083:(7): 1057–1060. 2068: 2062: 2056: 2050: 2047: 2041: 2038: 2032: 2031: 2008: 1995: 1994: 1963:Hearing Research 1958: 1952: 1941: 1932: 1931: 1909: 1900: 1899: 1879: 1870: 1869: 1849: 1843: 1842: 1822: 1811: 1810: 1790: 1779: 1778: 1765:Music Perception 1756: 1750: 1749: 1725: 1719: 1702:Anssi Klapuri, " 1700: 1615:Eight foot pitch 1587:tumbling strains 1573: 1572: 1567: 1566: 1522:is sharp due to 1437: 1436: 1400: 1399: 1394: 1393: 1325: 1324: 1319: 1318: 1250: 1249: 1244: 1243: 1206: 1205: 1169: 1168: 1132: 1131: 1126: 1125: 1057: 1056: 1051: 1050: 1013: 1012: 973: 962: 961: 941: 939: 938: 933: 931: 930: 926: 924: 923: 919: 909: 899: 898: 746: 739: 735: 732: 726: 695: 687: 677:Labeling pitches 672: 671: 665: 664: 656: 655: 577: 576: 557: 508:indefinite pitch 427:beat frequencies 340:basilar membrane 309: 290: 270: 243:combination tone 190:by this method. 123:psychoacoustical 67: 66: 56: 55: 21: 18:Indefinite pitch 3967: 3966: 3962: 3961: 3960: 3958: 3957: 3956: 3942:Psychoacoustics 3922: 3921: 3920: 3915: 3844: 3811: 3719: 3698:Problem solving 3683:Decision-making 3617: 3614: 3584: 3579: 3528:Microinflection 3506:Colors of noise 3497: 3492: 3462: 3457: 3448: 3404:Harmonic rhythm 3360: 3355: 3325: 3320: 3292: 3256: 3130: 3121:Music publisher 3116:Music engraving 3097: 2977: 2968:Letter notation 2860: 2757: 2752: 2722: 2717: 2687:Steps and skips 2609: 2604: 2574: 2538: 2536:Further reading 2533: 2516: 2512: 2503: 2499: 2490: 2486: 2479: 2464: 2463: 2459: 2446: 2442: 2432: 2419: 2418: 2414: 2407: 2390: 2389: 2385: 2347: 2346: 2342: 2312: 2311: 2307: 2279: 2278: 2271: 2233: 2232: 2228: 2218: 2216: 2181: 2176: 2175: 2171: 2161: 2159: 2132: 2127: 2126: 2122: 2070: 2069: 2065: 2057: 2053: 2048: 2044: 2039: 2035: 2028: 2012:Olson, Harry F. 2010: 2009: 1998: 1960: 1959: 1955: 1942: 1935: 1928: 1911: 1910: 1903: 1896: 1881: 1880: 1873: 1866: 1851: 1850: 1846: 1839: 1824: 1823: 1814: 1807: 1792: 1791: 1782: 1775: 1758: 1757: 1753: 1742: 1727: 1726: 1722: 1701: 1697: 1693: 1680:Scale of vowels 1625:Just intonation 1595: 1581: 1577: 1570: 1569: 1564: 1563: 1540: 1485:chromatic scale 1473: 1434: 1433: 1397: 1396: 1391: 1390: 1322: 1321: 1316: 1315: 1247: 1246: 1241: 1240: 1203: 1202: 1166: 1165: 1129: 1128: 1123: 1122: 1054: 1053: 1048: 1047: 1010: 1009: 959: 958: 913: 904: 890: 867: 866: 836: 830: 817: 796: 783:Letters, as in 773: 762: 747: 736: 730: 727: 712: 696: 685: 679: 669: 668: 662: 661: 653: 652: 612:Classical pitch 592: 591: 583: 581: 580: 579: 578: 571: 568: 561: 555: 539: 533: 457: 445:tritone paradox 440:aural illusions 435: 433:Aural illusions 396: 366:autocorrelation 336:temporal coding 324: 317: 310: 301: 291: 282: 271: 153:audio frequency 137: 132: 60: 57: 49: 46: 35: 28: 23: 22: 15: 12: 11: 5: 3965: 3963: 3955: 3954: 3949: 3944: 3939: 3934: 3924: 3923: 3917: 3916: 3914: 3913: 3908: 3903: 3898: 3893: 3888: 3886:Mental fatigue 3883: 3878: 3873: 3868: 3863: 3858: 3852: 3850: 3846: 3845: 3843: 3842: 3837: 3832: 3827: 3821: 3819: 3813: 3812: 3810: 3809: 3804: 3803: 3802: 3797: 3792: 3782: 3777: 3772: 3767: 3757: 3752: 3747: 3746: 3745: 3735: 3729: 3727: 3721: 3720: 3718: 3717: 3712: 3711: 3710: 3705: 3695: 3690: 3685: 3680: 3675: 3670: 3665: 3660: 3659: 3658: 3648: 3643: 3638: 3633: 3627: 3625: 3619: 3618: 3615: 3613: 3612: 3605: 3598: 3590: 3581: 3580: 3578: 3577: 3572: 3567: 3562: 3557: 3550: 3545: 3540: 3535: 3530: 3525: 3520: 3513: 3508: 3502: 3499: 3498: 3493: 3491: 3490: 3483: 3476: 3468: 3459: 3458: 3451: 3449: 3447: 3446: 3441: 3436: 3431: 3426: 3421: 3416: 3414:List of chords 3411: 3406: 3401: 3396: 3391: 3386: 3381: 3376: 3371: 3365: 3362: 3361: 3356: 3354: 3353: 3346: 3339: 3331: 3322: 3321: 3319: 3318: 3308: 3297: 3294: 3293: 3291: 3290: 3285: 3280: 3275: 3270: 3264: 3262: 3258: 3257: 3255: 3254: 3249: 3244: 3239: 3234: 3229: 3224: 3219: 3214: 3209: 3204: 3199: 3194: 3189: 3184: 3179: 3174: 3169: 3164: 3159: 3154: 3149: 3144: 3138: 3136: 3132: 3131: 3129: 3128: 3123: 3118: 3113: 3107: 3105: 3099: 3098: 3096: 3095: 3090: 3085: 3080: 3075: 3070: 3065: 3064: 3063: 3058: 3053: 3048: 3043: 3038: 3028: 3023: 3018: 3013: 3008: 3003: 2998: 2993: 2987: 2985: 2979: 2978: 2976: 2975: 2970: 2965: 2960: 2955: 2950: 2945: 2940: 2935: 2930: 2929: 2928: 2923: 2918: 2908: 2903: 2898: 2893: 2892: 2891: 2886: 2881: 2870: 2868: 2862: 2861: 2859: 2858: 2853: 2848: 2846:Time signature 2843: 2838: 2833: 2828: 2823: 2818: 2813: 2808: 2803: 2798: 2793: 2788: 2783: 2778: 2773: 2767: 2765: 2759: 2758: 2753: 2751: 2750: 2743: 2736: 2728: 2719: 2718: 2716: 2715: 2710: 2705: 2700: 2694: 2689: 2684: 2679: 2674: 2669: 2664: 2659: 2658: 2657: 2647: 2642: 2640:Melodic motion 2637: 2632: 2627: 2622: 2614: 2611: 2610: 2605: 2603: 2602: 2595: 2588: 2580: 2573: 2572:External links 2570: 2569: 2568: 2561: 2558:Nat. Neurosci. 2553: 2546: 2537: 2534: 2532: 2531: 2510: 2497: 2484: 2477: 2457: 2440: 2430: 2412: 2405: 2383: 2340: 2305: 2269: 2226: 2169: 2120: 2063: 2051: 2042: 2033: 2026: 1996: 1969:(1–2): 31–46. 1953: 1933: 1926: 1901: 1894: 1871: 1864: 1844: 1837: 1812: 1805: 1780: 1773: 1751: 1740: 1720: 1694: 1692: 1689: 1688: 1687: 1682: 1677: 1675:Relative pitch 1672: 1667: 1662: 1657: 1652: 1647: 1642: 1637: 1632: 1627: 1622: 1617: 1612: 1607: 1605:Absolute pitch 1602: 1594: 1591: 1579: 1575: 1539: 1536: 1501:musical tuning 1481:tuning systems 1472: 1469: 1466: 1465: 1462: 1459: 1456: 1453: 1450: 1447: 1444: 1441: 1438: 1429: 1428: 1425: 1422: 1419: 1416: 1413: 1410: 1407: 1404: 1401: 1386: 1385: 1382: 1379: 1376: 1373: 1370: 1367: 1364: 1361: 1358: 1354: 1353: 1350: 1347: 1344: 1341: 1338: 1335: 1332: 1329: 1326: 1311: 1310: 1307: 1304: 1301: 1298: 1295: 1292: 1289: 1286: 1283: 1279: 1278: 1275: 1272: 1269: 1266: 1263: 1260: 1257: 1254: 1251: 1236: 1235: 1232: 1229: 1226: 1223: 1220: 1217: 1214: 1211: 1208: 1198: 1197: 1194: 1191: 1188: 1185: 1182: 1179: 1176: 1173: 1170: 1161: 1160: 1157: 1154: 1151: 1148: 1145: 1142: 1139: 1136: 1133: 1118: 1117: 1114: 1111: 1108: 1105: 1102: 1099: 1096: 1093: 1090: 1086: 1085: 1082: 1079: 1076: 1073: 1070: 1067: 1064: 1061: 1058: 1043: 1042: 1039: 1036: 1033: 1030: 1027: 1024: 1021: 1018: 1015: 1005: 1004: 1001: 998: 995: 992: 989: 986: 983: 980: 977: 943: 942: 929: 916: 912: 907: 902: 897: 893: 889: 886: 883: 880: 877: 874: 834: 828: 815: 806: 805: 798: 794: 787: 771: 749: 748: 699: 697: 690: 678: 675: 582: 569: 564: 563: 562: 553: 552: 551: 535:Main article: 532: 529: 469:definite pitch 456: 453: 434: 431: 423:simultaneously 395: 392: 323: 320: 319: 318: 311: 304: 302: 292: 285: 283: 272: 265: 258:sound pressure 151:of vibration ( 136: 133: 131: 128: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 3964: 3953: 3950: 3948: 3945: 3943: 3940: 3938: 3935: 3933: 3932:Pitch (music) 3930: 3929: 3927: 3912: 3909: 3907: 3904: 3902: 3899: 3897: 3894: 3892: 3889: 3887: 3884: 3882: 3879: 3877: 3874: 3872: 3869: 3867: 3864: 3862: 3859: 3857: 3854: 3853: 3851: 3847: 3841: 3838: 3836: 3833: 3831: 3828: 3826: 3825:Consolidation 3823: 3822: 3820: 3818: 3814: 3808: 3805: 3801: 3798: 3796: 3793: 3791: 3788: 3787: 3786: 3783: 3781: 3778: 3776: 3773: 3771: 3768: 3765: 3761: 3758: 3756: 3753: 3751: 3748: 3744: 3741: 3740: 3739: 3736: 3734: 3731: 3730: 3728: 3726: 3722: 3716: 3713: 3709: 3706: 3704: 3701: 3700: 3699: 3696: 3694: 3691: 3689: 3686: 3684: 3681: 3679: 3676: 3674: 3673:Consciousness 3671: 3669: 3668:Comprehension 3666: 3664: 3661: 3657: 3654: 3653: 3652: 3649: 3647: 3644: 3642: 3639: 3637: 3634: 3632: 3629: 3628: 3626: 3624: 3620: 3611: 3606: 3604: 3599: 3597: 3592: 3591: 3588: 3576: 3573: 3571: 3568: 3566: 3563: 3561: 3558: 3556: 3555: 3551: 3549: 3546: 3544: 3541: 3539: 3536: 3534: 3531: 3529: 3526: 3524: 3521: 3519: 3518: 3514: 3512: 3509: 3507: 3504: 3503: 3500: 3496: 3489: 3484: 3482: 3477: 3475: 3470: 3469: 3466: 3455: 3445: 3444:Voice leading 3442: 3440: 3437: 3435: 3432: 3430: 3427: 3425: 3422: 3420: 3417: 3415: 3412: 3410: 3409:Harmonization 3407: 3405: 3402: 3400: 3397: 3395: 3392: 3390: 3387: 3385: 3382: 3380: 3377: 3375: 3372: 3370: 3369:Accompaniment 3367: 3366: 3363: 3359: 3352: 3347: 3345: 3340: 3338: 3333: 3332: 3329: 3317: 3309: 3307: 3299: 3298: 3295: 3289: 3288:Transcription 3286: 3284: 3283:Sight-reading 3281: 3279: 3278:Perfect pitch 3276: 3274: 3271: 3269: 3266: 3265: 3263: 3259: 3253: 3250: 3248: 3245: 3243: 3240: 3238: 3235: 3233: 3230: 3228: 3225: 3223: 3220: 3218: 3215: 3213: 3212:Ancient Greek 3210: 3208: 3205: 3203: 3200: 3198: 3195: 3193: 3190: 3188: 3185: 3183: 3180: 3178: 3175: 3173: 3170: 3168: 3165: 3163: 3160: 3158: 3155: 3153: 3152:Chord diagram 3150: 3148: 3145: 3143: 3142:Braille music 3140: 3139: 3137: 3135:Other systems 3133: 3127: 3124: 3122: 3119: 3117: 3114: 3112: 3109: 3108: 3106: 3104: 3100: 3094: 3091: 3089: 3086: 3084: 3081: 3079: 3076: 3074: 3071: 3069: 3066: 3062: 3059: 3057: 3054: 3052: 3049: 3047: 3044: 3042: 3039: 3037: 3034: 3033: 3032: 3029: 3027: 3024: 3022: 3019: 3017: 3014: 3012: 3009: 3007: 3004: 3002: 2999: 2997: 2994: 2992: 2989: 2988: 2986: 2984: 2980: 2974: 2971: 2969: 2966: 2964: 2961: 2959: 2956: 2954: 2951: 2949: 2946: 2944: 2941: 2939: 2936: 2934: 2931: 2927: 2924: 2922: 2919: 2917: 2914: 2913: 2912: 2909: 2907: 2904: 2902: 2899: 2897: 2894: 2890: 2887: 2885: 2882: 2880: 2877: 2876: 2875: 2872: 2871: 2869: 2867: 2866:Musical notes 2863: 2857: 2854: 2852: 2851:Transposition 2849: 2847: 2844: 2842: 2839: 2837: 2834: 2832: 2829: 2827: 2824: 2822: 2819: 2817: 2814: 2812: 2809: 2807: 2806:Key signature 2804: 2802: 2799: 2797: 2794: 2792: 2789: 2787: 2784: 2782: 2779: 2777: 2774: 2772: 2769: 2768: 2766: 2764: 2760: 2756: 2749: 2744: 2742: 2737: 2735: 2730: 2729: 2726: 2714: 2713:Voice leading 2711: 2709: 2706: 2704: 2701: 2698: 2695: 2693: 2690: 2688: 2685: 2683: 2680: 2678: 2675: 2673: 2670: 2668: 2665: 2663: 2660: 2656: 2653: 2652: 2651: 2648: 2646: 2643: 2641: 2638: 2636: 2633: 2631: 2628: 2626: 2623: 2621: 2620: 2616: 2615: 2612: 2608: 2601: 2596: 2594: 2589: 2587: 2582: 2581: 2578: 2571: 2567:, 71, 679–88. 2566: 2562: 2559: 2554: 2551: 2547: 2545:, 80, 479–83. 2544: 2540: 2539: 2535: 2528: 2527:0-12-213564-4 2524: 2520: 2514: 2511: 2507: 2501: 2498: 2494: 2488: 2485: 2480: 2478:9781602066397 2474: 2470: 2469: 2461: 2458: 2454: 2450: 2444: 2441: 2437: 2433: 2427: 2423: 2416: 2413: 2408: 2402: 2398: 2394: 2387: 2384: 2379: 2375: 2371: 2367: 2363: 2359: 2355: 2351: 2344: 2341: 2336: 2332: 2328: 2324: 2321:(4): 863–69. 2320: 2316: 2309: 2306: 2300: 2295: 2291: 2287: 2283: 2276: 2274: 2270: 2265: 2261: 2257: 2253: 2249: 2245: 2241: 2237: 2230: 2227: 2215: 2211: 2207: 2203: 2199: 2195: 2191: 2187: 2180: 2173: 2170: 2158: 2154: 2150: 2146: 2142: 2138: 2131: 2124: 2121: 2116: 2112: 2107: 2102: 2098: 2094: 2090: 2086: 2082: 2078: 2074: 2067: 2064: 2061: 2055: 2052: 2046: 2043: 2037: 2034: 2029: 2023: 2019: 2018: 2013: 2007: 2005: 2003: 2001: 1997: 1992: 1988: 1984: 1980: 1976: 1972: 1968: 1964: 1957: 1954: 1950: 1946: 1940: 1938: 1934: 1929: 1923: 1919: 1915: 1908: 1906: 1902: 1897: 1891: 1887: 1886: 1878: 1876: 1872: 1867: 1861: 1857: 1856: 1848: 1845: 1840: 1834: 1830: 1829: 1821: 1819: 1817: 1813: 1808: 1802: 1798: 1797: 1789: 1787: 1785: 1781: 1776: 1770: 1766: 1762: 1755: 1752: 1748: 1743: 1737: 1733: 1732: 1724: 1721: 1717: 1713: 1709: 1705: 1699: 1696: 1690: 1686: 1683: 1681: 1678: 1676: 1673: 1671: 1668: 1666: 1665:Pitch shifter 1663: 1661: 1658: 1656: 1653: 1651: 1648: 1646: 1643: 1641: 1638: 1636: 1633: 1631: 1628: 1626: 1623: 1621: 1618: 1616: 1613: 1611: 1608: 1606: 1603: 1600: 1597: 1596: 1592: 1590: 1588: 1583: 1561: 1557: 1553: 1549: 1545: 1537: 1535: 1533: 1529: 1525: 1524:inharmonicity 1521: 1517: 1513: 1509: 1504: 1502: 1498: 1494: 1493:well-tempered 1490: 1486: 1482: 1478: 1470: 1463: 1460: 1457: 1454: 1451: 1448: 1445: 1442: 1439: 1431: 1430: 1426: 1423: 1420: 1417: 1414: 1411: 1408: 1405: 1402: 1388: 1387: 1383: 1380: 1377: 1374: 1371: 1368: 1365: 1362: 1359: 1356: 1355: 1351: 1348: 1345: 1342: 1339: 1336: 1333: 1330: 1327: 1313: 1312: 1308: 1305: 1302: 1299: 1296: 1293: 1290: 1287: 1284: 1281: 1280: 1276: 1273: 1270: 1267: 1264: 1261: 1258: 1255: 1252: 1238: 1237: 1233: 1230: 1227: 1224: 1221: 1218: 1215: 1212: 1209: 1200: 1199: 1195: 1192: 1189: 1186: 1183: 1180: 1177: 1174: 1171: 1163: 1162: 1158: 1155: 1152: 1149: 1146: 1143: 1140: 1137: 1134: 1120: 1119: 1115: 1112: 1109: 1106: 1103: 1100: 1097: 1094: 1091: 1088: 1087: 1083: 1080: 1077: 1074: 1071: 1068: 1065: 1062: 1059: 1045: 1044: 1040: 1037: 1034: 1031: 1028: 1025: 1022: 1019: 1016: 1007: 1006: 1002: 999: 996: 993: 990: 987: 984: 981: 978: 975: 974: 971: 969: 964: 956: 952: 948: 927: 914: 910: 905: 900: 895: 891: 887: 884: 881: 878: 875: 872: 865: 864: 863: 862:, as follows 861: 857: 853: 849: 845: 841: 837: 826: 822: 818: 811: 803: 799: 792: 788: 786: 782: 781: 780: 774: 766: 760: 756: 745: 742: 734: 731:February 2011 724: 720: 716: 710: 709: 705: 700:This section 698: 694: 689: 688: 684: 676: 674: 666: 650: 646: 642: 637: 635: 631: 627: 623: 621: 617: 613: 609: 608:Baroque pitch 605: 601: 597: 590: 588: 567: 550: 548: 544: 543:concert pitch 538: 537:Concert pitch 530: 528: 525: 521: 516: 514: 513:inharmonicity 509: 504: 502: 498: 497: 492: 491: 486: 485: 479: 477: 474: 470: 466: 462: 454: 452: 450: 449:Shepard scale 446: 442: 441: 432: 430: 428: 424: 420: 416: 412: 407: 403: 402: 393: 391: 389: 385: 381: 377: 372: 367: 363: 358: 356: 352: 348: 343: 341: 337: 333: 328: 321: 315: 308: 303: 299: 295: 289: 284: 280: 276: 269: 264: 262: 259: 254: 252: 248: 244: 239: 235: 231: 226: 224: 220: 219:musical notes 216: 211: 208: 204: 200: 196: 191: 189: 185: 181: 177: 173: 169: 165: 161: 156: 154: 150: 146: 145:musical scale 142: 141:musical tones 134: 129: 127: 124: 120: 115: 113: 109: 105: 102:, along with 101: 100:musical tones 98:attribute of 97: 93: 89: 85: 81: 77: 73: 58:Play bottom: 44: 39: 33: 19: 3794: 3552: 3548:Rustle noise 3542: 3515: 3439:Simultaneity 3428: 3374:Alberti bass 3187:Klavarskribo 3162:Figured bass 3036:Appoggiatura 2983:Articulation 2932: 2781:Abbreviation 2671: 2617: 2564: 2557: 2549: 2542: 2518: 2513: 2505: 2500: 2492: 2487: 2467: 2460: 2452: 2443: 2435: 2421: 2415: 2396: 2386: 2353: 2349: 2343: 2318: 2314: 2308: 2289: 2285: 2239: 2235: 2229: 2217:. Retrieved 2189: 2185: 2172: 2160:. Retrieved 2140: 2136: 2123: 2080: 2076: 2066: 2054: 2045: 2036: 2016: 1966: 1962: 1956: 1948: 1917: 1884: 1854: 1847: 1831:. 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Index

Indefinite pitch
Pitch (disambiguation)

perceptual
sounds
frequency
scale
melodies
auditory
musical tones
duration
loudness
timbre
frequency
psychoacoustical
musical tones
musical scale
frequency
audio frequency
oscillations
pure tones
periodic
sinusoidal
American National Standards Institute
proxy
amplitude
idiom
speech
musical notes
reciprocal

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