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Musical tuning system
In music, 72 equal temperament, called twelfth-tone, 72 TET, 72 EDO, or 72 ET, is the tempered scale derived by dividing the octave into twelfth-tones
72_equal_temperament
Musical tuning system of 53 pitches
music, 53 equal temperament, called 53 TET, 53 EDO, or 53 ET, is the tempered scale derived by dividing the octave into 53 equal steps (equal frequency
53_equal_temperament
Musical tuning system with constant ratios between notes
An equal temperament is a musical temperament or tuning system that approximates just intervals by dividing an octave (or other interval) into steps such
Varieties of equal temperament
Varieties_of_equal_temperament
Division of an octave
tonality diamond. The next-smallest equal temperament to do both these things is 72 equal temperament. Compared to 72-EDO, which is also consistent in the
58_equal_temperament
Musical interval
octave, and thus all divisions of the octave into multiples of nine (72 equal temperament being the most notable) have an almost perfect match to this interval
Septimal_minor_third
Musical tuning system
split the major third into two equal tones. The technique includes a wide variety of tuning solutions. Meantone temperament was in use as early as the 15th
Meantone_temperament
Musical interval
evidenced proposal of the equally-tempered quarter tone scale, or 24 equal temperament, was made by 19th-century music theorists Heinrich Richter in 1823
Quarter_tone
34.98 cents) Play. 12 equal temperament and 22 equal temperament do not distinguish between these tritones; 19 equal temperament does distinguish them
Septimal_tritone
Use in music of microtones (intervals smaller than a semitone)
1928–2015, 72-tone equal temperament) Erv Wilson (1928–2016) Carlton Gamer (U.S.A, 1929–2023, 7-tone, 19-tone, 22-tone, 31-tone equal temperament) Alvin Lucier
Microtonality
American composer (1943–2020)
approximated in 31 Play, 41 Play, and 72 equal temperament Play. For tuning purposes, a secor of seven steps of 72 equal temperament is often used. Two secors (233
George_Secor
Musical interval
producing 36 pitches per octave. Septimal sixth tone 36 equal temperament 72 equal temperament Septimal diesis Gann, Kyle (September 16, 2019). The Arithmetic
Sixth_tone
Musical modes with repeating intervals
such as quarter tones or 72 equal temperament. For example, eight equal temperament, the lowest non-prime equal temperament not completely included in
Mode_of_limited_transposition
tone equal temperament. As the semitones get larger, eventually the steps are all the same size, and the result is in seven tone equal temperament (s =
Regular_diatonic_tuning
Basic musical interval
major second. The modern tuning system of 12-tone equal temperament divides the octave into twelve equal semitones, each with a frequency ratio of the twelfth
Semitone
Topics referred to by the same term
Greek mythology Moria, a Byzantine term for the intervals of the 72 equal temperament music scale Moria (political party), in Israel Moria, the original
Moria
Pair of circulating temperaments described by Thomas Young
Young's first temperament C major chord in Young's first temperament Problems playing this file? See media help. In music theory, Young temperament is one of
Young_temperament
Musical interval
matched by 24-ET, 31-ET and 41-ET. 72-ET matches both intervals closely and is also the smallest widely used equal temperament that uniquely matches both intervals
Neutral_interval
Musical tuning system
temperament 31 tone equal temperament 34 tone equal temperament 41 tone equal temperament 53 tone equal temperament 72 tone equal temperament Piano tuning Comma
Musical_temperament
Slightly modified version of a circulating temperament
20-1, p.65). Jorgensen (1991, Table 22-1, p.72). Jorgensen's table 22-1 is given for an equal temperament tuned to a pitch 6.58097 cents lower than standard
Vallotti_temperament
Musical interval
out to a unison by 53 equal temperament. It is also tempered out in 19, 34, and 72 equal temperament. 12 and 24 equal temperament, however, inflate the
Kleisma
Musical tuning based on pure intervals
was equal temperament. With its division of the octave into twelve identical steps based on a ratio of the 12th root of 2 (≈1.0595), equal temperament uses
Just_intonation
Musical interval unit
logarithmic unit of measure used for musical intervals. Twelve-tone equal temperament divides the octave into 12 semitones of 100 cents each. Typically
Cent_(music)
meantone temperaments). The music program Logic Pro uses also 1⁄2-comma meantone temperament. Equal-tempered refers to X-tone equal temperament with intervals
List_of_pitch_intervals
15 equal temperament 17 equal temperament 19 equal temperament 22 equal temperament 23 equal temperament 31 equal temperament 34 equal temperament 41
Index_of_music_articles
Interval in music
describe the interval of a major third in equal temperament. For example, "In modern acoustics, the equal-tempered semitone has 100 cents, the tone 200
Ditone
comma. It may also be the ratio 36:35, or 48.77 cents. Play In 12 equal temperament this interval is not tempered out; the septimal whole tone and septimal
Septimal_diesis
Musical interval
normally use an equal-tempered version of the perfect fifth, enabling the instrument to play in all keys. In 12-tone equal temperament, the frequencies
Perfect_fifth
Musical interval
into the three adjacent whole tones F–G, G–A, and A–B. In 12-tone-equal temperament, the tritone divides the octave (which is 12 semitones or 1200 cents)
Tritone
Musical interval
different number of semitones (seven and ten respectively). In 12-tone equal temperament (12-ET), the minor sixth is enharmonically equivalent to the augmented
Minor_sixth
trumpet and trombone, Op. 56 (1944) Suite in quartertones for 4 trombones, Op. 72 (1950) Fromental Halévy Prométhée enchaîné (1849) Jonathan Harvey Valley of
List_of_quarter_tone_pieces
Music unstructured from harmonic patterns
recent thoughts. (See 15 equal temperament, 19 equal temperament, 24 equal temperament, 34 equal temperament and 72 equal temperament.) Transposition: The
Post-tonal_music_theory
Musical interval
34-ET, 41-ET, 53-ET, and 72-ET. Conversely, in twelve-tone equal temperament, Pythagorean tuning, and meantone temperament (including 19-ET and 31-ET)
Major_second
Musical interval
exactly or approximately equal to an 8/7 ratio of frequencies. It is about 231 cents wide in just intonation. 24 equal temperament does not match this interval
Septimal_whole_tone
Dissonant musical interval
two notes which are the same pitch in equal temperament ("enharmonic") and played with the same key on an equal tempered keyboard (such as C♯ and D♭,
Wolf_interval
Musical interval encompassing three half steps
in 19 equal temperament it is very nearly the 6:5 ratio of just intonation; in more complex schismatic temperaments, such as 53 equal temperament, the
Minor_third
Musical interval
in relation to the fourth) or 386.31 cents; in 12 tone equal temperament, a major third is equal to four semitones, a ratio of 21/3:1 (about 1.2599) or
Major_third
Musical interval
Minor seventh Inverse Major second Name Abbreviation m7 Tuning 12 equal temperament 10 semitones (1000 cents) Pythagorean tuning 16:9 (~996.09 cents)
Minor_seventh
Difference in pitch between two notes
using a different tuning system, called 12-tone equal temperament. As a consequence, the size of most equal-tempered intervals cannot be expressed by small-integer
Interval_(music)
Interval between one musical pitch and another with double its frequency
Solfège – Musical pitch reference system Duffin, Ross W. (2008). How equal temperament ruined harmony : (and why you should care) (First published as a Norton
Octave
Musical interval
than a major third play. It is called the neutral third in 24-Tone Equal Temperament, and the submajor third, or the superminor third, in Just Intonation
Neutral_third
a modern 88-key standard or 108-key extended piano in twelve-tone equal temperament, with the 49th key, the fifth A (called A4), tuned to 440 Hz (referred
Piano_key_frequencies
Musical interval
pitch ratio of 4:3, or about 498 cents (Play), while in equal temperament a perfect fourth is equal to five semitones, or 500 cents (see additive synthesis)
Perfect_fourth
Representation of isolatable musical sound
This half step interval is also known as a semitone (which has an equal temperament frequency ratio of 12√2 ≅ 1.0595). The natural symbol (♮) indicates
Musical_note
Middle Eastern string instrument
(or commas) of the octave pitch resolution. Not all pitches of 72-tone equal temperament are available on the Turkish kanun, however, since kanun-makers
Qanun_(instrument)
Major triad plus the harmonic seventh interval
which has a just intonation ratio of 9:5 (1017.596 cents), or an equal-temperament ratio of 1000 cents (25⁄6:1). Since barbershop music tends to be sung
Harmonic_seventh_chord
Musical scale
scale in both just intonation and equal temperament. The tempered form, which divides the tritave into thirteen equal steps, has become the most popular
Bohlen–Pierce_scale
Musical interval
undecimal major fourth is found at 537 cents (the ratio 15:11). 31 equal temperament has an interval of 542 cents, which lies in between the two types
Major_fourth_and_minor_fifth
Musical interval
third of the tonic chord. An augmented fifth in equal temperament An augmented fifth in equal temperament Problems playing this file? See media help. An
Augmented_fifth
Musical interval of 9 semitones
ratio of 5:3 (play), approximately 884 cents. In 12-tone equal temperament, a major sixth is equal to nine semitones, exactly 900 cents, with a frequency
Major_sixth
Musical interval
In 19 equal temperament it is in fact enharmonically equal to an augmented second, both having a value of 252.6 cents. In 31 equal temperament it has
Diminished_third
American composer (1901–1974)
continued to compose. In 1923 he came to reject the standard twelve-tone equal temperament of Western concert music when he discovered a translation of Hermann
Harry_Partch
Musical notation system to describe pitch and relative frequency
numbers showing which octave they are part of. For standard A440 pitch equal temperament, the system begins at a frequency of 16.35160 Hz, which is assigned
Scientific_pitch_notation
Musical interval
example of perfect intervals described. Duffin, Ross W. (2008). How equal temperament ruined harmony : (and why you should care) (First published as a Norton
Diminished_octave
Musical interval
semitones and enharmonically equivalent to a minor third in 12-tone equal temperament. For instance, the interval from C to D is a major second, two semitones
Augmented_second
the temperament with 12 equal divisions of the octave, which is the most common meantone temperament in the modern era, 19 EDO to 19 equal temperament, 31 EDO
List_of_meantone_intervals
In music, ratio of pitch frequencies
are nowadays tuned using a different tuning system, called 12-tone equal temperament, in which the main intervals are typically perceived as consonant
Interval_ratio
19 equal temperament and 31 equal temperament, but not in 22 equal temperament, 34 equal temperament, 41 equal temperament, or 53 equal temperament. Haluska
Septimal_semicomma
Rectangle with side lengths in the golden ratio
{5}{2^{2}}}} Absent in modern 12 equal, this interval is accurately rendered in quarter-comma meantone temperament. Relative to base note D, the two
Golden_rectangle
Musical interval
with a more stable and consonant sound, than a minor seventh in 12 equal temperament. It is about 49 cents narrower than and is, "particularly sweet",
Harmonic_seventh
Musical interval
12-tone equal temperament, a major seventh is equal to eleven semitones, or 1100 cents, about 12 cents wider than the 15:8 major seventh. In 24-tone equal temperament
Major_seventh
Musical interval
keyboard (typically tuned with 12-tone equal temperament) a stack of four fifths (700 × 4 = 2800 cents) is exactly equal to two octaves (1200 × 2 = 2400 cents)
Syntonic_comma
English polymath (1773–1829)
Peter Le Page Renouf both defended Champollion. Young developed Young temperament, a method of tuning musical instruments.[citation needed] Later scholars
Thomas_Young_(scientist)
Musical interval
consonant harmonic seventh in some tuning systems: In septimal meantone temperament, an augmented sixth is specifically assigned to the harmonic seventh
Augmented_sixth
Theory of microtonal music
scales: Alpha, Beta, and Gamma Bohlen–Pierce scale Equal temperament 15 17 19 22 23 24 31 34 36 41 53 58 72 96 Just intonation Harry Partch's 43-tone scale
Sonido_13
Mode in Arabic music
chromatic scale, the octave is divided into 24 equal steps (24 equal temperament), where a quarter tone equals one-half of a semitone in a 12 tone equally-tempered
Arabic_maqam
Musical interval
narrowing a minor second by one chromatic semitone. In twelve-tone equal temperament, it is enharmonically equivalent to a perfect unison; therefore, it
Diminished_second
Unit of measurement for musical intervals
twelve-tone equal temperament. Some considers that the millioctave introduces as well a bias for the less familiar 10-tone equal temperament however this
Millioctave
Interval in classical music
ratio 5:4), equal to 128:125 or about 41.06 cents. In 12-tone equal temperament (on a piano for example) three major thirds in a row equal an octave, but
Diesis
Small interval between musical notes
perfect fifths and seven octaves are treated as the same interval. Equal temperament, today the most common tuning system in the West, reconciled this
Pythagorean_comma
Musical interval
grad and a schisma is so small. So, a rational intonation version of equal temperament may be obtained by flattening the fifth by a schisma rather than a
Schisma
Very small interval arising from discrepancies in tuning
thirds above C4 are not exactly the same note, as they would be in equal temperament. The interval between those notes, the diesis, is an easily audible
Comma_(music)
an augmented sixth, and may be a just interval of 12:7 (A). In 24 equal temperament A = B. The septimal major sixth is an interval of 12:7 ratio (A Play)
Subminor_and_supermajor
Musical interval
approximated by 9 quarter tones, or 450 cents (play). Both 24 and 19 equal temperament map the septimal major third and the septimal narrow fourth (21:16)
Septimal_major_third
Musical interval
semitones, and they are physically the same pitch in twelve-tone equal temperament. For example, B–D♯ is a major third; but if the same pitches are spelled
Diminished_fourth
Natural number
system of meantone tuning, being close to 1/3 comma meantone. See 19 equal temperament. Some organs use the 19th harmonic to approximate a minor third.[citation
19_(number)
Musical interval
distinguish. Neutral sixths are roughly a quarter tone sharp from 12 equal temperament (12-ET) minor sixths and a quarter tone flat from 12-ET major sixths
Neutral_sixth
Dog breed
long, white coats that were the fashion for the time, and a pleasant temperament. The first dogs registered as Leonbergers were born in 1846 and had many
Leonberger
Musical interval
the apotome are both represented by one step of 12-pitch equal temperament, they are not equal in Pythagorean tuning, and their difference, 531441/524288
Pythagorean_interval
Ability to identify musical notes by ear without reference
well temperaments and alternative meantone tunings such as 19-tone equal temperament and 31-tone equal temperament) as opposed to 12-tone equal temperament
Absolute_pitch
Types of harmonic structures in music
equal temperament tuning, which is used by non-experimental guitars. The perfect fourths and fifths of just intonation are well approximated in equal
Quartal_and_quintal_harmony
Electronic Music Media, Op. 28, is a set of pieces in various microtonal equal temperaments composed and released on LP in 1980 by American composer Easley Blackwood
Twelve Microtonal Etudes for Electronic Music Media
Twelve_Microtonal_Etudes_for_Electronic_Music_Media
72-et uses the accidentals and for a quarter tone (36:35 or 48.77 cents) up and down. The septimal quarter tone is tempered out by twelve-tone equal temperament
Septimal_quarter_tone
Process of tuning a pipe organ
select a temperament. Generally speaking, the temperament of a pipe organ is part of its design, and is not lightly changed during its lifetime. Equal temperament
Pipe_organ_tuning
Koinonikon Kontakion Akathist Troparion Sticheron Theory Petasti 72 equal temperament Byzantine Musical Symbols Echos Octoechos Nenano Neobyzantine Octoechos
John_Laskaris_(composer)
Tuning system for musical instruments
perfect fifth in any tuning system in the syntonic temperament continuum (including also meantone temperaments). Three of the above-mentioned commas, namely
Five-limit_tuning
Musical interval
to a diaschismic temperament. The diaschisma is tempered out in the usual system of 12 equal temperament; in fact, 12 equal temperament can be characterized
Diaschisma
American composer
tunings used by Walker include 10, 11, 14, 15, 16, 17, 19 and 20 equal temperament. Walker's music since 1992 includes many space or alien themed titles
Elaine_Walker_(composer)
Set of musical alterations
eight sharps, is equivalent to A♭ major in 12-tone equal temperament, but in 19-tone equal temperament, it is equivalent to A major instead, with 11 flats
Key_signature
Set of notes used in Chinese music
flux Temperaments Equal 6-tone 12-tone 15-tone 17-tone 19-tone 22-tone 23-tone 24-tone (pieces) 31-tone 34-tone 36-tone 41-tone 53-tone 58-tone 72-tone
Shi'er_lü
Musical parts sounding at the same pitch
perfect unison, prime, perfect prime Abbreviation P1 Size Semitones 0 Interval class 0 Just interval 1:1 Cents Equal temperament 0 Just intonation 0
Unison
Large, domesticated, cloven-hooved herbivores
cattle, temperament or behavioral disposition can affect productivity, overall health, and reproduction. Five underlying categories of temperament traits
Cattle
Musical interval
the sixth scale step in the octave above. In 12-tone equal temperament, a diminished seventh is equal to nine semitones, a ratio of 29/12:1 (approximately
Diminished_seventh
minor thirds and one kind of classic major seventh. The equal temperaments with 27, 31, 41, 58, and 72 steps per octave all temper out the breedsma. Tempering
Breedsma
Mechanical stringed musical instrument
arranged to provide a Pythagorean temperament, but in later instruments the tunings have varied widely, with equal temperament most common because it allows
Hurdy-gurdy
Mathematical function, inverse of an exponential function
the pitch ratio (that is, 100 cents per semitone in conventional equal temperament), or equivalently the log base 21/1200 ; and in photography, where
Logarithm
Musical interval
Abbreviation P15 Size Semitones 24 Interval class 0 Just interval 4:1 Cents Equal temperament 2400 24-Tone equal temperament 2400 Just intonation 2400
Fifteenth_(interval)
Musical interval
standard equal temperament it is identical to the perfect octave (Play), because both semitones have the same size. In 19 equal temperament, on the other
Augmented_seventh
Musical artist
in two pieces: Hafnium — study in 72-tone equal temperament (1999) — and Argon — study in 18-tone equal temperament (2000). The period following, Arabic
Jeroen_Paul_Thesseling
with the septimal diesis is tempered out by five-tone equal temperament, and equal temperaments which divide the octave into a small multiple of 5 steps
Septimal_third_tone
The Bohlen–Pierce Site. Moreno, Enrique Ignacio (Dec 1995). "Embedding Equal Pitch Spaces and The Question of Expanded Chromas: An Experimental Approach"
A12_scale
72 EQUAL-TEMPERAMENT
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