Interval size measure: Difference between revisions

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===Fine===

The [[cent|cent]] (¢), [[1200edo|1\1200 octave]], is the classic measure for intervals when more precision than 12edo is required. Some people object to it on the grounds that it is too closely related to 12 equal.

The [[cent|cent]] (¢), [[1200edo|1\1200 octave]], is the classic measure for intervals when more precision than 12edo is required. Some people object to it on the grounds that it is too obviously closely related to 12 equal.

See [http://www.huygens-fokker.org/docs/measures.html Logarithmic Interval Measures]

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 ===Fine===
-The [[cent|cent]] (¢), [[1200edo|1\1200 octave]], is the classic measure for intervals when more precision than 12edo is required. Some people object to it on the grounds that it is too closely related to 12 equal.
+The [[cent|cent]] (¢), [[1200edo|1\1200 octave]], is the classic measure for intervals when more precision than 12edo is required. Some people object to it on the grounds that it is too obviously closely related to 12 equal.
-Other measures include the [[Armodue_theory|Eka]], [[16edo|1\16 octave]], [[Normal_diesis|Normal diesis]]: [[31edo|1\31 octave]]; the [[Méride|Méride]]: [[43edo|1\43 octave]]; the [[Holdrian_comma|Holdrian comma]]: [[53edo|1\53 octave]]; the [[Morion|Morion]]: [[72edo|1\72 octave]]; the [[Farab|Farab]]: [[144edo|1\144 octave]]; the [[Mem|Mem]]: [[205edo|1\205 octave]] (used by [http://www.h-pi.com/theory/measurement3.html Hi-pi Instruments]); the [[Tredek|Tredek]]: [[270edo|1\270 octave]]; the [[Eptaméride|Eptaméride]] or [[Savart|Savart]]: [[301edo|1\301 of an octave]]; the [[Gene|Gene]]: [[31edo|1\311 octave]]; the [[Dröbisch_Angle|Dröbisch Angle]]: [[360edo|1\360 octave]]; the [[Squb|Squb]]: [[494edo|1\494 octave]]; the [[Iring|Iring]]: [[600edo|1\600 octave]]; the [[Skisma|Skisma]]: [[612edo|1\612 octave]]; the [[Delfi|Delfi]]: [[665edo|1\665 octave]]; the [[Woolhouse|Woolhouse]]: [[730edo|1\730 octave]]; the [[millioctave|millioctave]] (mO), [[1000edo|1\1000 octave]]; the [[fine_cent|fine cent]] or deciFarab: [[1440edo|1\1440 octave]]; the [[Iota|Iota]]: [[1\1700_octave|1\1700 octave]]; the [[Harmos|Harmos]]: [[1728edo|1\1728 octave]]; the [[mina|Mina]]: [[2460edo|1\2460 octave]]; the [[Tina|Tina]]: [[8539edo|1\8539 octave]]; the [[Purdal|Purdal]]: [[9900edo|1\9900 octave]]; the [[Türk_sent|Türk sent]]: [[10600edo|1\10600 octave]]; the [[Prima|Prima]]: [[12276edo|1\12276 octave]], the [[jinn|Jinn]]: [[16808edo|1\16808 octave]], the [[Jot|Jot]]: [[30103edo|1\30103 octave]]; the [[Imp|Imp]]: [[31920edo|1\31920 octave]]; the [[Flu|Flu]]: [[46032edo|1\46032 octave]]; and the [[MIDI_Tuning_Standard_unit|MIDI Tuning Standard unit]]: [[196608edo|1\196608 octave]]. Not based on the octave are the [[Grad|Grad]]: 1/12 of a Pythagorean comma and the [[Hekt|Hekt]]: 1/1300 part of 3, ie 3^(1/1300).
+Other measures include the [[Armodue_theory|Eka]], [[16edo|1\16 octave]], the [[Normal_diesis|Normal diesis]]: [[31edo|1\31 octave]]; the [[Méride|Méride]]: [[43edo|1\43 octave]]; the [[Holdrian_comma|Holdrian comma]]: [[53edo|1\53 octave]]; the [[Morion|Morion]]: [[72edo|1\72 octave]]; the [[Farab|Farab]]: [[144edo|1\144 octave]]; the [[Mem|Mem]]: [[205edo|1\205 octave]] (used by [http://www.h-pi.com/theory/measurement3.html Hi-pi Instruments]); the [[Tredek|Tredek]]: [[270edo|1\270 octave]]; the [[Eptaméride|Eptaméride]] or [[Savart|Savart]]: [[301edo|1\301 of an octave]]; the [[Gene|Gene]]: [[31edo|1\311 octave]]; the [[Dröbisch_Angle|Dröbisch Angle]]: [[360edo|1\360 octave]]; the [[Squb|Squb]]: [[494edo|1\494 octave]]; the [[Iring|Iring]]: [[600edo|1\600 octave]]; the [[Skisma|Skisma]]: [[612edo|1\612 octave]]; the [[Delfi|Delfi]]: [[665edo|1\665 octave]]; the [[Woolhouse|Woolhouse]]: [[730edo|1\730 octave]]; the [[millioctave|millioctave]] (mO), [[1000edo|1\1000 octave]]; the [[fine_cent|fine cent]] or deciFarab: [[1440edo|1\1440 octave]]; the [[Iota|Iota]]: [[1\1700_octave|1\1700 octave]]; the [[Harmos|Harmos]]: [[1728edo|1\1728 octave]]; the [[mina|Mina]]: [[2460edo|1\2460 octave]]; the [[Tina|Tina]]: [[8539edo|1\8539 octave]]; the [[Purdal|Purdal]]: [[9900edo|1\9900 octave]]; the [[Türk_sent|Türk sent]]: [[10600edo|1\10600 octave]]; the [[Prima|Prima]]: [[12276edo|1\12276 octave]], the [[jinn|Jinn]]: [[16808edo|1\16808 octave]], the [[Jot|Jot]]: [[30103edo|1\30103 octave]]; the [[Imp|Imp]]: [[31920edo|1\31920 octave]]; the [[Flu|Flu]]: [[46032edo|1\46032 octave]]; and the [[MIDI_Tuning_Standard_unit|MIDI Tuning Standard unit]]: [[196608edo|1\196608 octave]]. Not based on the octave are the [[Grad|Grad]]: 1/12 of a Pythagorean comma and the [[Hekt|Hekt]]: 1/1300 part of 3, ie 3^(1/1300).
 See [http://www.huygens-fokker.org/docs/measures.html Logarithmic Interval Measures]