Diachrome: Difference between revisions

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m 2.3.7.11.13 Parapyth: Added 1053/1024 to the list of JI representatives for s, since it's the gap between 13/8 and 128/81.
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* 5sR: LmsLsLsLmsLs
* 5sR: LmsLsLsLmsLs
* 5sC: LsLsLmsLsLsm
* 5sC: LsLsLmsLsLsm
5sL and 5sR are [[chiral]] pairs, and 5sC is achiral. The three chiralities are also determined by the number of '''ms''' and '''sm''' substrings they have.
5sL and 5sR are [[chiral]] pairs, and 5sC is achiral. The three chiralities are also determined by the number of ms and sm substrings they have.


''Diachrome'' is named from ''diatonic'' and ''chromatic'' for the [[5L 7s|5L7s]] and [[7L 5s|7L5s]] children of [[5L2s]] that the L=m and m=s tunings reflect.
''Diachrome'' is named from ''diatonic'' and ''chromatic'' for the [[5L 7s|5L7s]] and [[7L 5s|7L5s]] children of [[5L2s]] that the L=m and m=s tunings reflect.
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* 11/8 = 2L + m + 3s,
* 11/8 = 2L + m + 3s,
* 13/8 = 3L + 2m + 4s.  
* 13/8 = 3L + 2m + 4s.  
By not tempering out 144/143, Parapyth distinguishes '''ms''' from '''L''' by tuning the former to 13/12 and the latter to 12/11.
By not tempering out 144/143, Parapyth distinguishes ms from L by tuning the former to 13/12 and the latter to 12/11.


The 5sL version of diachrome tempered to Parapyth is known by [[Margo Schulter]] under the name "Penthesilia[12]".
The 5sL version of diachrome tempered to Parapyth is known by [[Margo Schulter]] under the name "Penthesilia[12]".


[[Category:Aberrismic theory]][[Category:Rank-3 scales]]
[[Category:Aberrismic theory]][[Category:Rank-3 scales]]