Thursday, July 02, 2009

Cyclic cents in interval



OK, here we go. All the intervals are in cents (1200 cents=1 octave, or
on the Equal Tempered Scale, 100 cents=1 semitone).

You can work out the frequencies yourself with a few logs..

Interval name Cyclic cents in interval
Unison 0
Cent 1
Skhisma 2
Diaskhisma 20
Comma of Didymus 22
Pythagorean Comma 24
Septimal Comma 27
Small Diesis 28
Great Diesis 42
Quartertone 50
Small Semitone 70
Meantone Small Semitone 76
Subminor Second 85
Limma 90
Larger Limma 92
Equal Semitone 100

well, we just got to a semitone!!
And there's more..

Just Diatonic Semitone 112
Apotome 114
Meantone Great Semitone 117
Great Limma 134
Minor Tone 182
Mean Tone 193
Equal Tone 200
Major Tone 204
Supersecond 231
Pentatone 240
Subminor Third 267
Pythagorean Minor Third 294
Equal Minor Third 300
Just Minor Third 316
Superminor Third 336
Zalzal's /wosta/ 355
Equal Major Third 400
Pythagorean Major Third 408
Supermajor Third 435
Just Fourth 498
Equal Fourth 500
Meantone Fourth 503
Just Tritone 590
Equal Tritone 600
Pythagorean Tritone 612

Don't the possibilities just open up before you?

Here's the cent intervals for a pentatonic Javan scale, called
the Pelog. There are five others.

Pelog 0 446 575 687 1098 1200

More information...
http://www.dolmetsch.com/intervalcalculator.htm

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