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Split Fine Measures table into two: one for octave-based measures, the other for non-octave measures
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The [[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.  
The [[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.  


The following table demonstrates a list of measures derived from the logarithmic division of an interval (e.g. octave, twelfth):
The following table demonstrates a list of measures derived from the logarithmic division of the octave:
{| class="wikitable sortable"
{| class="wikitable sortable"
|+List of Fine Measures (Logarithmic)
|+List of Octave-Based Fine Measures (Logarithmic)
!Unit name (symbol):
!Unit name (symbol):
!Interval based on:
!Division of Octave
!Power:
!Origin / Significance
!Origin/Significance
|-
|-
|[[Armodue_theory|Eka]]
|[[Armodue_theory|Eka]]
|2/1 (octave)
|[[16edo|1\16]]
|[[16edo|1\16]]
|From Sanskrit ''eka'': one, unit; chromatic unit of Armodue 16ED2 Theory
|From Sanskrit ''eka'': one, unit; chromatic unit of Armodue 16ED2 Theory
|-
|-
|[[Normal_diesis|Normal diesis]]
|[[Normal_diesis|Normal diesis]]
|2/1 (octave)
|[[31edo|1\31]]
|[[31edo|1\31]]
|
|
|-
|-
|[[Méride]]
|[[Méride]]
|2/1 (octave)
|[[43edo|1\43]]
|[[43edo|1\43]]
|Proposed by Joseph Sauveur as 7 heptaméride units
|Proposed by Joseph Sauveur as 7 heptaméride units
|-
|-
|[[Holdrian_comma|Holdrian comma]]
|[[Holdrian_comma|Holdrian comma]]
|2/1 (octave)
|[[53edo|1\53]]
|[[53edo|1\53]]
|
|
|-
|-
|[[Morion]]
|[[Morion]]
|2/1 (octave)
|[[72edo|1\72]]
|[[72edo|1\72]]
|
|
|-
|-
|[[Farab]]
|[[Farab]]
|2/1 (octave)
|[[144edo|1\144]]
|[[144edo|1\144]]
|Proposed by al-Farabi in 10th century; 1/12 of [[12edo|12ED2]] semitone
|Proposed by al-Farabi in 10th century; 1/12 of [[12edo|12ED2]] semitone
|-
|-
|[[Mem]]
|[[Mem]]
|2/1 (octave)
|[[205edo|1\205]]
|[[205edo|1\205]]
|Unit used by [http://musictheory.zentral.zone/huntsystem1.html H-Pi Instruments]
|Unit used by [http://musictheory.zentral.zone/huntsystem1.html H-Pi Instruments]
|-
|-
|[[Tredek]]
|[[Tredek]]
|2/1 (octave)
|[[270edo|1\270]]
|[[270edo|1\270]]
|
|
|-
|-
|[[Eptaméride|Heptaméride/Eptaméride]] or [[Savart]]
|[[Eptaméride|Heptaméride/Eptaméride]] or [[Savart]]
|2/1 (octave)
|[[301edo|1\301]]
|[[301edo|1\301]]
|Proposed by Joseph Sauveur, advocated by Félix Savart; 301 ≃ 1,000 * log<sub>10</sub>2; 1/7 of Méride unit
|Proposed by Joseph Sauveur, advocated by Félix Savart; 301 ≃ 1,000 * log<sub>10</sub>2; 1/7 of Méride unit
|-
|-
|[[Gene]]
|[[Gene]]
|2/1 (octave)
|[[311edo|1\311]]
|[[311edo|1\311]]
|
|
|-
|-
|[[Dröbisch_Angle|Dröbisch Angle]]
|[[Dröbisch_Angle|Dröbisch Angle]]
|2/1 (octave)
|[[360edo|1\360]]
|[[360edo|1\360]]
|
|
|-
|-
|[[Squb]]
|[[Squb]]
|2/1 (octave)
|[[494edo|1\494]]
|[[494edo|1\494]]
|
|
|-
|-
|[[Iring]]
|[[Iring]]
|2/1 (octave)
|[[600edo|1\600]]
|[[600edo|1\600]]
|
|
|-
|-
|[[Skisma]]
|[[Skisma]]
|2/1 (octave)
|[[612edo|1\612]]
|[[612edo|1\612]]
|
|
|-
|-
|[[Delfi]]
|[[Delfi]]
|2/1 (octave)
|[[665edo|1\665]]
|[[665edo|1\665]]
|
|
|-
|-
|[[Woolhouse]]
|[[Woolhouse]]
|2/1 (octave)
|[[730edo|1\730]]
|[[730edo|1\730]]
|Proposed by Wesley S.B. Woolhouse in ''Essay on musical intervals'' (1835)
|Proposed by Wesley S.B. Woolhouse in ''Essay on musical intervals'' (1835)
|-
|-
|[[millioctave]] (mO)
|[[millioctave]] (mO)
|2/1 (octave)
|[[1000edo|1\1000]]
|[[1000edo|1\1000]]
|"Metric" / SI division of octave
|"Metric" / SI division of octave
|-
|-
|[[cent]] (¢)
|[[cent]] (¢)
|2/1 (octave)
|1\1200
|1\1200
|1/100 of [[12edo|12ED2]] semitone
|1/100 of [[12edo|12ED2]] semitone
|-
|-
|greater muon
|greater muon
|2/1 (octave)
|[[1224edo|1\1224]]
|[[1224edo|1\1224]]
|
|
|-
|-
|triangular cent
|triangular cent
|2/1 (octave)
|[[1260edo|1\1260]]
|[[1260edo|1\1260]]
|
|
|-
|-
|pion
|pion
|2/1 (octave)
|[[1272edo|1\1272]]
|[[1272edo|1\1272]]
|
|
|-
|-
|pound
|pound
|2/1 (octave)
|[[1344edo|1\1344]]
|[[1344edo|1\1344]]
|
|
|-
|-
|neutron
|neutron
|2/1 (octave)
|[[1392edo|1\1392]]
|[[1392edo|1\1392]]
|
|
|-
|-
|lesser muon
|lesser muon
|2/1 (octave)
|[[1428edo|1\1428]]
|[[1428edo|1\1428]]
|
|
|-
|-
|deciFarab
|deciFarab
|2/1 (octave)
|[[1440edo|1\1440]]
|[[1440edo|1\1440]]
|1/10 of Farab unit
|1/10 of Farab unit
|-
|-
|quadratic cent
|quadratic cent
|2/1 (octave)
|[[1452edo|1\1452]]
|[[1452edo|1\1452]]
|
|
|-
|-
|ksion
|ksion
|2/1 (octave)
|[[1476edo|1\1476]]
|[[1476edo|1\1476]]
|
|
|-
|-
|cubic cent
|cubic cent
|2/1 (octave)
|[[1500edo|1\1500]]
|[[1500edo|1\1500]]
|
|
|-
|-
|7mu
|7mu
|2/1 (octave)
|[[1536edo|1\1536]]
|[[1536edo|1\1536]]
|(7th MIDI unit), seventh MIDI-resolution unit, 1/128 (1/(2<sup>7</sup>)) of [[12edo|12ED2]] semitone
|(7th MIDI unit), seventh MIDI-resolution unit, 1/128 (1/(2<sup>7</sup>)) of [[12edo|12ED2]] semitone
|-
|-
|rhoon
|rhoon
|2/1 (octave)
|[[1560edo|1\1560]]
|[[1560edo|1\1560]]
|
|
|-
|-
|tile
|tile
|2/1 (octave)
|[[1632edo|1\1632]]
|[[1632edo|1\1632]]
|
|
|-
|-
|[[Iota]]
|[[Iota]]
|2/1 (octave)
|[[1\1700_octave|1\1700]]
|[[1\1700_octave|1\1700]]
|
|
|-
|-
|[[Harmos]]
|[[Harmos]]
|2/1 (octave)
|[[1728edo|1\1728]]
|[[1728edo|1\1728]]
|
|
|-
|-
|[[Mina]]
|[[Mina]]
|2/1 (octave)
|[[2460edo|1\2460]]
|[[2460edo|1\2460]]
|Abbreviation of "schismina", ED2 representation of the "Olympian Level" of [[Sagittal_notation|Sagittal notation system]]
|Abbreviation of "schismina", ED2 representation of the "Olympian Level" of [[Sagittal_notation|Sagittal notation system]]
|-
|-
|[[Tina]]
|[[Tina]]
|2/1 (octave)
|[[8539edo|1\8539]]
|[[8539edo|1\8539]]
|Prime; provides good approximations for 41-limit primes except 37; named by [[Dave_Keenan|Keenan]] and [[George_Secor|Secor]].
|Prime; provides good approximations for 41-limit primes except 37; named by [[Dave_Keenan|Keenan]] and [[George_Secor|Secor]].
|-
|-
|[[Purdal]]
|[[Purdal]]
|2/1 (octave)
|[[9900edo|1\9900]]
|[[9900edo|1\9900]]
|
|
|-
|-
|[[Türk_sent|Türk sent]]
|[[Türk_sent|Türk sent]]
|2/1 (octave)
|[[10600edo|1\10600]]
|[[10600edo|1\10600]]
|
|
|-
|-
|[[Prima]]
|[[Prima]]
|2/1 (octave)
|[[12276edo|1\12276]]
|[[12276edo|1\12276]]
|
|
|-
|-
|[[Jinn]]
|[[Jinn]]
|2/1 (octave)
|[[16808edo|1\16808]]
|[[16808edo|1\16808]]
|
|
|-
|-
|[[Jot]]
|[[Jot]]
|2/1 (octave)
|[[30103edo|1\30103]]
|[[30103edo|1\30103]]
|
|
|-
|-
|[[Imp]]
|[[Imp]]
|2/1 (octave)
|[[31920edo|1\31920]]
|[[31920edo|1\31920]]
|
|
|-
|-
|[[Flu]]
|[[Flu]]
|2/1 (octave)
|[[46032edo|1\46032]]
|[[46032edo|1\46032]]
|
|
|-
|-
|[[MIDI_Tuning_Standard_unit|MIDI Tuning Standard unit]]
|[[MIDI_Tuning_Standard_unit|MIDI Tuning Standard unit]]
|2/1 (octave)
|[[196608edo|1\196608]]
|[[196608edo|1\196608]]
|14mu (14th MIDI unit), fourteenth MIDI-resolution unit, 1/16384 (1/(2<sup>14</sup>)) of [[12edo|12ED2]] semitone
|14mu (14th MIDI unit), fourteenth MIDI-resolution unit, 1/16384 (1/(2<sup>14</sup>)) of [[12edo|12ED2]] semitone
|}
There are other fine measurements based upon the logarithmic division of other intervals (e.g. 3/1 (twelfth)), a few of which are listed below:
{| class="wikitable sortable"
|+List of Non-Octave Fine Measures (Logarithmic)
!Unit name (symbol):
!Interval based on:
!Power:
!Origin/Significance
|-
|-
|[[Hekt]]
|[[Hekt]]
Retrieved from "https://en.xen.wiki/w/Interval_size_measure"