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 | Some edos that temper it out are [[20edo]], [[26edo]], [[46edo]], [[58edo]], [[72edo]], [[84edo]], and [[98edo]]. 26edo in particular is quite accurate in the 2.7.11 subgroup, especially for its size. | ||
Latest revision as of 01:55, 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 in the 2.7.11 subgroup, especially for its size.