117649/117128: Difference between revisions
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'''117649/117128''' is a small comma in the 2.7.11 subgroup. It is the amount by which ([[49/44]])<sup>3</sup> exceeds [[11/8]]. It is also the amount by which six [[8/7]] wholetones [[octave reduction|octave-reduced]] (equivalently 8/7 lowered by the [[cloudy comma]]) fall short of two [[128/121]] semitones. | '''117649/117128''' is a small comma in the 2.7.11 subgroup. It is the amount by which ([[49/44]])<sup>3</sup> exceeds [[11/8]]. It is also the amount by which six [[8/7]] wholetones [[octave reduction|octave-reduced]] (equivalently 8/7 lowered by the [[cloudy comma]]) fall short of two [[128/121]] semitones. | ||
Some edos that temper it out are [[20edo]], [[26edo]], [[46edo]], [[58edo]], [[72edo]], [[84edo]], and [[98edo]]. 26edo in particular is quite accurate for its size in the 2. | Some edos that temper it out are [[20edo]], [[26edo]], [[46edo]], [[58edo]], [[72edo]], [[84edo]], and [[98edo]]. 26edo in particular is quite accurate for its size in the 2.7.11 subgroup. | ||
Revision as of 01:54, 21 February 2026
| Interval information |
117649/117128 is a small comma in the 2.7.11 subgroup. It is the amount by which (49/44)3 exceeds 11/8. It is also the amount by which six 8/7 wholetones octave-reduced (equivalently 8/7 lowered by the cloudy comma) fall short of two 128/121 semitones.
Some edos that temper it out are 20edo, 26edo, 46edo, 58edo, 72edo, 84edo, and 98edo. 26edo in particular is quite accurate for its size in the 2.7.11 subgroup.