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Revision as of 09:41, 24 July 2024 by 2^67-1 (talk | contribs) (blackwood-dicot-semaphore equivalence continuum drafts)
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Testing

The blackwood-dicot-semaphore equivalence continuum is a continuum of 7-limit rank-3 temperaments describing the set of all 7-limit rank-3 temperaments supported by 10edo. Any rank-2 temperament supported by 10edo can thus be represented by a line between two points in this continuum.

All temperaments in the continuum satisfy (25/24)p(49/48)q ~ 256/243, equating a stack of dicot commas (25/24) and semaphore commas (49/48) with the blackwood comma (256/243).

The blackwood comma is the characteristic 3-limit comma tempered out in 10edo.