AFS: Difference between revisions
Cmloegcmluin (talk | contribs) →Relationship to other tunings: address Flora's recent concerns about rationality vs. irrationality in this system |
Cmloegcmluin (talk | contribs) →Examples: update row headers per agreement at https://en.xen.wiki/w/Talk:APS |
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== Specification == | == Specification == | ||
Its full specification is (n-)AFSp: (n pitches of an) arithmetic frequency sequence adding by ( | Its full specification is (n-)AFSp: (n pitches of an) arithmetic frequency sequence adding by (irrational) interval p. The n is optional. If not provided, the sequence is open-ended. | ||
== Formula == | == Formula == | ||
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!8 | !8 | ||
|- | |- | ||
! frequency (f) | ! frequency (''f'', ratio) | ||
|(1 + 0/⁴√2) | |(1 + 0/⁴√2) | ||
|1 + 1/⁴√2 | |1 + 1/⁴√2 | ||
| Line 60: | Line 60: | ||
|1 + 8/⁴√2 | |1 + 8/⁴√2 | ||
|- | |- | ||
! pitch ( | ! pitch (log₂''f'', octaves) | ||
| (0) || 0.88 | | (0) || 0.88 | ||
|1.42 | |1.42 | ||
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|2.95 | |2.95 | ||
|- | |- | ||
! length (1/f) | ! length (1/''f'', ratio) | ||
| (1) || 0.54 | | (1) || 0.54 | ||
|0.37 | |0.37 | ||
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[[Category:Harmonic]] | [[Category:Harmonic]] | ||
[[Category:Harmonic series]] | [[Category:Harmonic series]] | ||
[[Category:Xenharmonic series]] | |||