User:Cmloegcmluin/AS: Difference between revisions
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These are sequences which are rational but ambiguous between otonality and utonality, such as a chain of the same JI pitch. | These are sequences which are rational but ambiguous between otonality and utonality, such as a chain of the same JI pitch. | ||
equal multiplications https://en.xen.wiki/w/Equal-step_tuning#Equal_multiplications | |||
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|65536/390625 | |65536/390625 | ||
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[[Category:Equal-step tuning]] | |||
[[Category:Equal divisions of the octave ]] | |||
Revision as of 21:34, 22 March 2021
An AS, or ambitonal sequence, is a kind of arithmetic and monotonic tuning.
An AS is a specific (rational) type of APS.
(n-)ASp: (n pitches of an) ambitonal sequence adding by p (equivalent to 1D JI lattice of p)
These are sequences which are rational but ambiguous between otonality and utonality, such as a chain of the same JI pitch.
equal multiplications https://en.xen.wiki/w/Equal-step_tuning#Equal_multiplications
| quantity | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|
| frequency | 1/1 | 5/4 | 25/16 | 125/64 | 625/256 | 3125/1024 | 15625/4096 | 78125/16384 | 390625/65536 |
| pitch | 0.00 | 0.32 | 0.64 | 0.97 | 1.29 | 1.61 | 1.93 | 2.25 | 2.58 |
| length | 1/1 | 4/5 | 16/25 | 64/125 | 256/625 | 1024/3125 | 4096/15625 | 16384/78125 | 65536/390625 |