User:Cmloegcmluin/AS: Difference between revisions
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| Line 8: | Line 8: | ||
{| class="wikitable" | {| class="wikitable" | ||
|+example: | |+example: AS5/4 = 1D JI lattice of 5/4 = 5/4 chain | ||
|- | |- | ||
! quantity | ! quantity | ||
| Line 22: | Line 22: | ||
|- | |- | ||
! frequency | ! frequency | ||
| | |1/1 | ||
| | |5/4 | ||
| | |25/16 | ||
| | |125/64 | ||
| | |625/256 | ||
| | |3125/1024 | ||
| | |15625/4096 | ||
| | |78125/16384 | ||
| | |390625/65536 | ||
|- | |- | ||
! pitch | ! pitch | ||
| | |0.00 | ||
| | |0.32 | ||
| | |0.64 | ||
| | |0.97 | ||
| | |1.29 | ||
| | |1.61 | ||
| | |1.93 | ||
| | |2.25 | ||
| | |2.58 | ||
|- | |- | ||
! length | ! length | ||
| | |1/1 | ||
| | |4/5 | ||
| | |16/25 | ||
| | |64/125 | ||
| | |256/625 | ||
| | |1024/3125 | ||
| | |4096/15625 | ||
| | |16384/78125 | ||
| | |65536/390625 | ||
|} | |} | ||
Revision as of 01:53, 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.
| 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 |