4096/4095: Difference between revisions
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'''4096/4095''', the '''schismina''', is a [[13-limit]] [[superparticular]] [[ratio]] of about 0.42 cents. It is the difference between [[ | '''4096/4095''', the '''schismina''', is a [[13-limit]] [[superparticular]] [[ratio]] of about 0.42 cents. It is the difference between the [[64/63|septimal comma (64/63)]] and the [[65/64|wilsorma (65/64)]], and between the [[36/35|septimal quartertone (36/35)]] and the [[1053/1024|tridecimal quartertone (1053/1024)]]. | ||
By tempering it out is defined the '''schisminic temperament''', which enables the '''schisminic chords''', the essentially tempered chords in the 21-odd-limit. | By tempering it out is defined the '''schisminic temperament''', which enables the '''schisminic chords''', the essentially tempered chords in the 21-odd-limit. | ||
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[[Category:Unnoticeable comma]] | [[Category:Unnoticeable comma]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category:Schisminic]] | |||
[[Category:Mina]] | [[Category:Mina]] | ||
Revision as of 11:57, 18 March 2021
| Interval information |
reduced,
reduced subharmonic
4096/4095, the schismina, is a 13-limit superparticular ratio of about 0.42 cents. It is the difference between the septimal comma (64/63) and the wilsorma (65/64), and between the septimal quartertone (36/35) and the tridecimal quartertone (1053/1024).
By tempering it out is defined the schisminic temperament, which enables the schisminic chords, the essentially tempered chords in the 21-odd-limit.
The name lends itself to the general interval size measure knowns as the mina. In Sagittal notation, 4096/4095 is the default comma represented by a mina or three tinas.