736/729

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Revision as of 03:05, 24 September 2023 by Stephen Weigel (talk | contribs) (I added a page explaining that this comma is used in HEJI.)
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Interval information
Ratio 736/729
Subgroup monzo 2.3.23 [5 -6 1⟩
Size in cents 16.544342¢
Names 23-limit Tenney/Cage comma (HEJI)

736/729, the 23-limit Tenney/Cage comma, is a 2.3.23 subgroup comma. It is the amount by which 23/16 (the 23rd harmonic) exceeds the Pythagorean augemented fourth (729/512). It is significant in Helmholtz-Ellis notation as the formal comma to translate a Pythagorean interval to a nearby 23-limit (vicesimotertial) interval.

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