Gallery of arithmetic pitch sequences: Difference between revisions
m →APS of mérides: Add 7/11 |
m →APS of cents: Skip disambiguation page |
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This gallery can never realistically be complete as there are so many possible such scales, so feel free to add to it. | This gallery can never realistically be complete as there are so many possible such scales, so feel free to add to it. | ||
For a shorter, more strictly curated list of only the most widely used or most mathematically important APS scales, see [[ | For a shorter, more strictly curated list of only the most widely used or most mathematically important APS scales, see [[Equal-step tuning#List of notable APS]]. | ||
==Terms== | ==Terms== | ||
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Trivial case. This is exactly [[1200edo]]. | Trivial case. This is exactly [[1200edo]]. | ||
; 1ed13.94—13.97c | |||
Main page: [[8ed16/15|Delta scale]] | |||
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Main page: [[1ed44c]] | Main page: [[1ed44c]] | ||
; 1ed63.59—63.82c | |||
Main page: [[Phoenix]] | |||
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*Step size: 1 méride (~27.91 cents) | *Step size: 1 méride (~27.91 cents) | ||
*Trivial case. This is exactly [[43edo]]. | *Trivial case. This is exactly [[43edo]]. | ||
; APS11/12méride | |||
*Step size: 11/12 of a méride (~25.58 cents) | |||
*Close to: [[47edo]] | |||
*Compared to 47edo: | |||
**Much better: 3/1, 11/1, 23/1 | |||
**Slightly better 5/1, 19/1 | |||
**Slightly worse 2/1, 7/1, 13/1, 17/1 | |||
**Much worse 13/1 | |||
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**Slightly better 11/1, 23/1 | **Slightly better 11/1, 23/1 | ||
**Slightly worse 2/1 | **Slightly worse 2/1 | ||
; APS8/11méride | |||
*Step size: 8/11 of a méride (~20.30 cents) | |||
*Close to: [[59edo]] | |||
*Compared to 59edo: | |||
**Much better 3/1, 7/1, 19/1 | |||
**Slightly better 13/1 | |||
**Slightly worse 2/1, 5/1, 17/1 | |||
**Much worse 11/1, 23/1 | |||
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**Slightly better 3/1, 7/1, 11/1 | **Slightly better 3/1, 7/1, 11/1 | ||
**Slightly worse 2/1, 13/1, 17/1, 19/1, 23/1 | **Slightly worse 2/1, 13/1, 17/1, 19/1, 23/1 | ||
; APS7/12méride | |||
*Step size: 7/12 of a méride (~16.28 cents) | |||
*Close to: [[74edo]] | |||
*Compared to 74edo: | |||
**11/1 is about the same | |||
**Better 3/1, 5/1, 7/1, 17/1, 19/1 | |||
**Worse 2/1, 13/1, 23/1 | |||
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{{navbox scale gallery}} | {{navbox scale gallery}} | ||
[[Category:Equal-step | [[Category:Equal-step tuning]] [[Category:Lists of scales]] | ||