Diachrome: Difference between revisions

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The three leftmost notes of the lower chain (the one not offset by 3L + m + 2s) are joined to the three rightmost notes of the upper chain by 2L + m. 5sL (resp. 5sR) similarly has two chains of fifths, but the lower chain has 7 (resp. 5) notes and the upper chain 5 (resp. 7) notes.
The three leftmost notes of the lower chain (the one not offset by 3L + m + 2s) are joined to the three rightmost notes of the upper chain by 2L + m. 5sL (resp. 5sR) similarly has two chains of fifths, but the lower chain has 7 (resp. 5) notes and the upper chain 5 (resp. 7) notes.


== Diachrome in edos ==
Diachrome is available in good RTT edos that have quasi-just or Parapyth fifths.
The first edos with a diachrome tuning are {{EDOs|24, 29, 31, 34, 36, 38, 39, 41, 43, 44, 45, 46, 48}}.
== Temperament interpretations ==
== Temperament interpretations ==
Diachrome is most accurate to JI in tunings that have quasi-just or Parapyth fifths. In both interpretations below, L + s = 9/8, and m = 256/243.
Diachrome is interesting for having at least two notable JI interpretations. In both interpretations below, L + s = 9/8, and m = 256/243.
=== 7-limit[5120/5103] ===
=== 7-limit[5120/5103] ===
In the 7-limit, diachrome has two JI tunings which are very similar and can be identified by tempering out [[5120/5103]], the 5.8c gap between 81/80 and 64/63:
In the 7-limit, diachrome has two JI tunings which are very similar and can be identified by tempering out [[5120/5103]], the 5.8c gap between 81/80 and 64/63: