User:Cmloegcmluin/AS
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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 | (0) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|---|---|---|---|
| frequency (f) | (5⁰/4⁰) | 5¹/4¹ | 5²/4² | 5³/4³ | 5⁴/4⁴ | 5⁵/4⁵ | 5⁶/4⁶ | 5⁷/4⁷ | 5⁸/4⁸ |
| pitch (log₂f) | (0) | 0.32 | 0.64 | 0.97 | 1.29 | 1.61 | 1.93 | 2.25 | 2.58 |
| length (1/f) | (1/1) | 4/5 | 16/25 | 64/125 | 256/625 | 1024/3125 | 4096/15625 | 16384/78125 | 65536/390625 |