2.3.35 and 2.3.49: Difference between revisions
From Xenharmonic Reference
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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==Intervals== | ==Intervals== | ||
(49/40 is a neutral third and doesn't exactly fit into either subgroup) | |||
===2.3.35=== | ===2.3.35=== | ||
2.3.35 intervals are the difference between a 5-over and 7-under interval, or vice versa. | |||
36/35 septimal quarter tone | 36/35 septimal quarter tone | ||
| Line 12: | Line 16: | ||
===2.3.49=== | ===2.3.49=== | ||
2.3.49 intervals are the difference between a 7-over and 7-under interval. | |||
54/49 | 54/49 | ||
Revision as of 02:15, 26 October 2025
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
(49/40 is a neutral third and doesn't exactly fit into either subgroup)
2.3.35
2.3.35 intervals are the difference between a 5-over and 7-under interval, or vice versa.
36/35 septimal quarter tone
35/32 septimal neutral second
81/70 septimal semifourth
2.3.49
2.3.49 intervals are the difference between a 7-over and 7-under interval.
54/49
