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Musical tuning system
Equal temperament is a musical tuning system where every interval has been identically modified from its acoustically pure state. The most common equal
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
Microtonal tuning system in music
In music, 31 equal temperament, 31 ET, which can also be abbreviated 31 TET (31 tone ET) or 31 EDO (equal division of the octave), also known as tricesimoprimal
31_equal_temperament
Musical tuning system with 19 pitches per octave
In music, 19 equal temperament, called 19 TET, 19 EDO ("Equal Division of the Octave"), 19-ED2 ("Equal Division of 2:1) or 19 ET, is the tempered scale
19_equal_temperament
Division of an octave
music, 22 equal temperament, called 22-TET, 22-EDO, or 22-ET, is the tempered scale derived by dividing the octave into 22 equal steps (equal frequency
22_equal_temperament
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 with 15 pitches equally-spaced on a logarithmic scale
music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is a tempered scale derived by dividing the octave into 15 equal steps (equal frequency
15_equal_temperament
Musical tuning system with 17 pitches equally-spaced on a logarithmic scale
In music, 17 equal temperament is the tempered scale derived by dividing the octave into 17 equal steps (equal frequency ratios). Each step represents
17_equal_temperament
41 equal temperament, abbreviated 41-TET, 41-EDO, or 41-ET, is the tempered scale derived by dividing the octave into 41 equally sized steps (equal frequency
41_equal_temperament
Musical scale with a 96-step octave
In music, 96 equal temperament, called 96-TET, 96-EDO ("Equal Division of the Octave"), or 96-ET, is the tempered scale derived by dividing the octave
96_equal_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
Tuning system with no consonant intervals
In music, 23 equal temperament, called 23-TET, 23-EDO ("Equal Division of the Octave"), or 23-ET, is the tempered scale derived by dividing the octave
23_equal_temperament
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
Musical tuning system
These include 12-tone equal temperament, the most commonly used temperament today, and more generally meantone temperaments which were historically
Musical_temperament
Bar across the neck of stringed instruments
intonation of most modern western fretted instruments is in 12 tone equal temperament, the ratio of the distances of two consecutive frets to the bridge
Fret
Musical tuning system
In Western music theory, a well temperament (also good temperament, circular or circulating temperament) is a type of tempered tuning used for keyboard
Well_temperament
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
Relationship among tones of the chromatic scale
pitch class. Such tuning systems include historical well temperaments, and 12-tone equal temperament, which is the standard tuning system for Western music
Circle_of_fifths
theory, 34 equal temperament, also referred to as 34-tET, 34-EDO or 34-ET, is the tempered tuning derived by dividing the octave into 34 equal-sized steps
34_equal_temperament
Relationships between music and mathematics
tuning systems: equal temperament and just tuning. Equal temperament scales are built by dividing an octave into intervals which are equal on a logarithmic
Music_and_mathematics
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
Division of an octave
In music, 58 equal temperament (also called 58-ET or 58-EDO) divides the octave into 58 equal parts of approximately 20.69 cents each. It is notable as
58_equal_temperament
Profession
Pianos are usually tuned to a modified version of the system called equal temperament. (See Piano key frequencies for the theoretical piano tuning.) In
Piano_tuning
Class of music scales with seven notes
tempered more than in equal temperament, in order to produce better thirds. See quarter-comma meantone for a meantone temperament commonly used in the
Diatonic_scale
Method of tuning a musical instrument
harmonics. The major scale based on C, obtained from this tuning is: In equal temperament, pairs of enharmonic notes such as A♭ and G♯ are thought of as being
Pythagorean_tuning
Use in music of microtones (intervals smaller than a semitone)
has within it three microtonal "blue notes" not found in 12 tone equal temperament intonation. It was used still earlier by W. McNaught with reference
Microtonality
Terms for tuning an instrument and a systems of pitches
Thirteenth Sound 19 equal temperament 22 equal temperament 31 equal temperament 53 equal temperament Schismatic temperament Miracle temperament Hexany Music
Musical_tuning
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)
Symbol indicating one semitone lower
chromatic semitone lower. In the standard modern tuning system, 12-tone equal temperament, this corresponds to 100 cents. The difference in pitch indicated
Flat_(music)
Musical interval
perfect fifth respectively. The perfect fifth spans seven semitones in equal temperament. For example, the interval from C to G is a perfect fifth, as it spans
Perfect_fifth
Scale in which each note is separated from its neighbors by a whole tone
from its neighbors by the interval of a whole tone. In twelve-tone equal temperament, there are only two complementary whole-tone scales, both six-note
Whole-tone_scale
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
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
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
Musical interval
matches both intervals closely and is also the smallest widely used equal temperament that uniquely matches both intervals. Tuning systems that temper out
Neutral_interval
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16_equal_temperament
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
Set of all pitches that are a whole number of octaves apart
tuning system: "1" can refer to C♯ in 12-tone equal temperament, but D in 6-tone equal temperament. Also, the same numbers are used to represent both pitches
Pitch_class
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
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 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
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46_equal_temperament
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27_equal_temperament
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
Clock diagram for displaying relationships among pitch classes
among the equal-tempered pitch classes making up a given equal temperament tuning's chromatic scale on a circle. If one starts on any equal-tempered pitch
Chromatic_circle
Note sung or played at a slightly different pitch than standard
The relationship between just and equal temperament tuning is conveniently expressed using the 12-tone equal temperament cents system. Just intonation is
Blue_note
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27-tone_equal_temperament
Ascending or descending sequence of musical tones
that the notes are drawn from a chromatic scale tuned with 12-tone equal temperament. For some fretted string instruments, such as the guitar and the bass
Scale_(music)
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)
a modern 88-key standard or 112-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
53-ET, and 72-ET. Conversely, in twelve-tone equal temperament, Pythagorean tuning, and meantone temperament (including 19-ET and 31-ET) all major seconds
Major_second
English scientist and music theorist
Bosanquet, that a distinction should be made between "well temperament" and "equal temperament" was rediscovered by H. Kelletat, and thoroughly defended
Robert Holford Macdowall Bosanquet
Robert_Holford_Macdowall_Bosanquet
Scale obtained by sharpening the second and third degrees of the locrian mode
system. It is notable as one of the five proper seven-note scales in equal temperament, and as strictly proper in any meantone tuning with fifths flatter
Major_Locrian_scale
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
produce a pure minor third. (See meantone temperaments). Equal-tempered refers to X-tone equal temperament with intervals corresponding to X divisions
List_of_pitch_intervals
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
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
Algebraic irrational number
frequency ratio (musical interval) of a semitone (Play) in 12-tone equal temperament. This number was first proposed in relation to musical tuning in the
Twelfth_root_of_two
Symbol indicating one semitone higher
note, indicating that it is an A♯ instead of an A♮. In twelve-tone equal temperament tuning (the predominant system of tuning in Western music), raising
Sharp_(music)
Three irregular temperaments developed by Johann Kirnberger
consonant circular tuning systems exist, such as 31 tone equal temperament and 53 equal temperament, but the number of separate notes required to fill out
Kirnberger_temperament
Musical interval
size 36/35 flatter than a 6/5 just minor third. In 24 tone equal temperament five quarter tones approximate the septimal minor third at 250 cents
Septimal_minor_third
Musical scale set of twelve pitches
several different ways. The most common tuning system is 12-tone equal temperament, which divides the twelve pitches evenly. In this system, diatonic
Chromatic_scale
Musical modes with repeating intervals
prime equal division of the octave, such as 19 equal temperament or 31 equal temperament. Composite divisions, such as 15 equal temperament or 22 equal temperament
Mode_of_limited_transposition
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
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
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
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 chord
commonly within compositions. Additionally, the general acceptance of equal temperament during the 19th century reduced the dissonance of some earlier forms
Seventh_chord
Way J.S. Bach tuned his harpsichord
have applied the equal temperament. Herbert Kelletat (1960) suggests that Kirnberger III, or a similar temperament, was Bach's temperament. A. Sparschuh
Bach_Temperament
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
Collection of keyboard music by J.S. Bach
example. Furthermore, some two hundred years before Bach's time, equal temperament was realized on plucked string instruments, such as the lute and the
The_Well-Tempered_Clavier
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27_tone_equal_temperament
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
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
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
Tuning system described by Andreas Werckmeister
widened by 1/4 comma. The other fifths are pure. This temperament is closer to equal temperament than the previous two. This tuning is based on a division
Werckmeister_temperament
Sequence of frequencies
of the first 31 harmonics to their nearest equivalents in 12-tone equal temperament(12TET), normalized to one octave. Tinted fields highlight differences
Harmonic_series_(music)
19 equal temperament and 31 equal temperament, but not in 22 equal temperament, 34 equal temperament, 41 equal temperament, or 53 equal temperament. Comma
Septimal_semicomma
Slightly modified version of a circulating temperament
equal temperament, when the note A of each scale is given the same pitch. This temperament is merely a shifted version of Young's second temperament,
Vallotti_temperament
Natural number
rise to the expression of logic "catch-22". 22 equal temperament is a popular microtonal tuning temperament due to its good approximation of harmonic intervals
22_(number)
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
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
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47_equal_temperament
Distinct pitch classes sounding the same
system in Western music is twelve-tone equal temperament (12 tet), where each octave is divided into twelve equal half-steps, or semitones; each half-step
Enharmonic_equivalence
Music that uses a tuning system outside of 12-TET
music is music that uses a tuning system that is unlike the 12-tone equal temperament scale. It was named by Ivor Darreg, from the Greek xenos (Greek ξένος)
Xenharmonic_music
Musical instrument tuning with a limit of seven
Well-Tuned Piano. It is possible to approximate 7-limit music using equal temperament, for example 31-ET. Đàn bầu Fonville, John. "Ben Johnston's Extended
7-limit_tuning
German organist, music theorist, and composer
responsible for a temperament that resulted in all tonalities sounding acceptable on the keyboard. This important step toward equal temperament was highly influential
Andreas_Werckmeister
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
Keyboard key divided in two
keyboard. Second, in older music, tuning was generally not done by equal temperament, which treats note pairs such as A♯ and B♭ as the same pitch. Instead
Split_sharp
Major scale based on B
equivalent to C-flat major, with seven flats in 12-tone equal temperament, but in 19-tone equal temperament, it is equivalent to C-double-flat major instead
B_major
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
Minor key and scale based on F
eight sharps, is equivalent to F minor in 12-tone equal temperament, but in 19-tone equal temperament, it is equivalent to F-flat minor instead, with 11
F_minor
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
Arabic music term
neutral seconds above the tonic, so this jins is not playable in 12 equal temperament, even approximately. Jins Hijaz is a tetrachord spanning a perfect
Jins
Major key signature
sharps, is equivalent to A-flat major in 12-tone equal temperament, but in 19-tone equal temperament, it is equivalent to A-double-flat major instead
G-sharp_major
Terms in music theory to characterize scales
refers to structures derived from the chromatic scale in 12-tone equal temperament, which consists of all semitones. Historically, however, it had other
Diatonic_and_chromatic
Chinese prince, mathematician, physicist and music theorist (1536–1611)
the Chinese Ming dynasty. In 1584, Zhu innovatively described the equal temperament via accurate mathematical calculation. Zhu was born in Qinyang, Henan
Zhu_Zaiyu
Musical interval
36 pitches per octave. Septimal sixth tone Varieties of equal temperament 72 equal temperament Septimal diesis Gann, Kyle (September 16, 2019). The Arithmetic
Sixth_tone
Scale in Turkish makam music
Kürdî is a scale in Turkish makam music. It is in 53 Tone Equal Temperament. The Kürdî makam has a higher extension, starting from Muhayyer, with the
Kürdî
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EQUAL TEMPERAMENT
EQUAL TEMPERAMENT
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Equal
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Equal; Rival; Equal to Another Person
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Biblical
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Biblical
Plainness, equal.
Girl/Female
Hindu, Indian
Equal
Boy/Male
Hindu
Equal
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Hindu, Indian, Marathi
Equal Strength
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Arabic, Indian
Equal
Girl/Female
Arabic, Muslim
Rival; Equal
Boy/Male
Tamil
Equal
Girl/Female
Muslim
Equal, Rival
Boy/Male
Muslim
Equal
Girl/Female
Indian
Equal, Rival
Boy/Male
Muslim
Equal, Same
Boy/Male
Hindi
Equal.
Girl/Female
Tamil
Equal
EQUAL TEMPERAMENT
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