2.3.35 and 2.3.49

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Revision as of 02:01, 26 October 2025 by Ground (talk | contribs) (Created page with "'''2.3.35''' and '''2.3.49''' are two subsets of the 2.3.5.7 (septimal) group that involve many ratios further from 12edo than 2.3.7. The 35th harmonic (5*7) perfectly combines the deviations of the 5th and 7th harmonics to be about as far from 12edo as possible, whereas the 49th harmonic (7*7) overshoots slightly. ==Intervals== ===2.3.35=== 36/35 septimal quarter tone 35/32 septimal neutral second 81/70 septimal semifourth ===2.3.49=== 54/49")

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2.3.35 and 2.3.49 are two subsets of the 2.3.5.7 (septimal) group that involve many ratios further from 12edo than 2.3.7. The 35th harmonic (5*7) perfectly combines the deviations of the 5th and 7th harmonics to be about as far from 12edo as possible, whereas the 49th harmonic (7*7) overshoots slightly.

Intervals

2.3.35

36/35 septimal quarter tone

35/32 septimal neutral second

81/70 septimal semifourth

2.3.49

54/49

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