Orwell comma

In musical tuning, the Orwell comma ( Play ) is a very small musical interval of 13.07 cents and frequency ratio of 1728:1715^[1] or 2⁶·3³ : 5·7³. It can be thought of as the difference between three just septimal minor thirds and one just major sixth. It is so named because the temperament eliminating this comma, Orwell temperament, has an optimal generator very close to 19 steps out of 84-equal temperament; this pattern of 19/84 (or 19\84^[2]) steps is similar to the title of Orwell's novel 1984.

Sources

External links

"Comma", Xenharmonic.Wikispaces.com.

Intervals (list)

Numbers in brackets are the number of semitones in the interval.
Fractional semitones are approximate.

Twelve-
semitone
(Western)

Perfect	unison (0) fourth (5) fifth (7) octave (12)

Major	second (2) third (4) sixth (9) seventh (11)

Minor	second (1) third (3) sixth (8) seventh (10)

Augmented	unison (1) second (3) third (5) fourth (6) fifth (8) sixth (10) seventh (12) octave (13)

Diminished	second (0) third (2) fourth (4) fifth (6) sixth (7) seventh (9) octave (11)

Compound	ninth (13 or 14) tenth (15 or 16) eleventh (17 or 18) twelfth (18 or 19) thirteenth (20 or 21) fourteenth (22 or 23) fifteenth (24)

Other
systems

Neutral	quarter tone (½) second (1½) third (3½) major fourth (5½) minor fifth (6½) sixth (8½) seventh (10½)

7-limit	quarter tone (½) chromatic semitone (⅔) diatonic semitone (1⅙) whole tone (2⅓) subminor third (2⅔) supermajor third (4⅓) harmonic (subminor) seventh (9⅔)

Other
intervals

Groups	Microtone 5-limit Comma Pseudo-octave Pythagorean interval Subminor and supermajor

Commas	Pythagorean comma Pythagorean apotome Pythagorean limma Diesis Septimal diesis Septimal comma Syntonic comma Schisma Diaschisma Major limma Ragisma Breedsma Kleisma Septimal kleisma Septimal semicomma Orwell comma Semicomma Septimal quarter tone Septimal third tone

Measurement	Cent Centitone Millioctave Savart

Others	Quarter tone Wolf Ditone Semiditone Holdrian comma Secor Incomposite interval

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