73edo: Difference between revisions
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table for illustrating the sharpness |
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'''73-EDO''' divides the octave into 73 equal parts of 16.438 [[cent]]s each. It tempers out 78732/78125 and 262144/253125 in the [[5-limit]], [[126/125]] and [[245/243]] in the [[7-limit]], 176/175, 441/440 and 4000/3993 in the [[11-limit]], and 91/90, 169/168, 196/195, [[325/324]], [[351/350]] and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for [[Starling temperaments#Casablanca temperament-Marrakesh|marrakesh temperament]]. 73et has a sharp tendency, with the approximations of 3, 5, 7, 11 all sharp. | '''73-EDO''' divides the octave into 73 equal parts of 16.438 [[cent]]s each. It tempers out 78732/78125 and 262144/253125 in the [[5-limit]], [[126/125]] and [[245/243]] in the [[7-limit]], 176/175, 441/440 and 4000/3993 in the [[11-limit]], and 91/90, 169/168, 196/195, [[325/324]], [[351/350]] and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for [[Starling temperaments#Casablanca temperament-Marrakesh|marrakesh temperament]]. 73et has a sharp tendency, with the approximations of 3, 5, 7, 11 all sharp: | ||
{| class="wikitable center-all" | |||
! prime !! steps !! delta [[cents|(¢)]] | |||
|- | |||
| 3 || 116 || +0.298 | |||
|- | |||
| 5 || 170 || +0.499 | |||
|- | |||
| 7 || 205 || +0.063 | |||
|- | |||
| 11 || 253 || +0.461 | |||
|} | |||
73edo fits in mavila scale, by the 9;5 relation in the [[7L_2s|superdiatonic]] scheme. | 73edo fits in mavila scale, by the 9;5 relation in the [[7L_2s|superdiatonic]] scheme. | ||