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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 [[marrakesh]] temperament. 73et has a sharp tendency, with the approximations of 3, 5, 7, 11 all sharp, see following table. | | '''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 [[marrakesh]] temperament. 73 EDO has a sharp tendency, with the approximations of 3, 5, 7, 11 all sharp, see following table. |
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| {| class="wikitable center-all" | | {{Primes in edo|73|columns=9|prec=2}} |
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| |+ 73-EDO approximation of prime intervals
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| |- | |
| ! colspan="2" | Prime number
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| ! 3
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| ! 5
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| ! 7
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| ! 11
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| ! 13
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| ! 17
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| ! 19
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| ! 23
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| |-
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| ! rowspan="2" | Error
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| ! absolute ([[cent|¢]])
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| | +4.89
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| | +8.21
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| | +1.04
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| | +7.59
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| | -2.17
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| | -6.33
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| | -1.62
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| | -3.62
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| |-
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| ! [[Relative error|relative]] (%)
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| | +29.8
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| | +49.9
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| | +6.3
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| | +46.1
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| | -13.2
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| | -38.5 | |
| | -9.9
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| | -22.0
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| |-
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| ! colspan="2" | Degree ([[octave reduction|reduced]])
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| | 116 (43)
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| | 170 (24)
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| | 205 (59)
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| | 253 (34)
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| | 270 (51)
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| | 298 (6)
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| | 310 (18)
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| | 330 (38)
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| |}
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| 73edo fits in mavila scale, by the 9;5 relation in the [[7L_2s|superdiatonic]] scheme.
| | 73 EDO fits in mavila scale, by the 9;5 relation in the [[7L_2s|superdiatonic]] scheme. |
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| 73edo is the 21st [[prime edo]].
| | 73 EDO is the 21st [[prime EDO]]. |
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| [[Category:Equal divisions of the octave]] | | [[Category:Equal divisions of the octave]] |
| [[Category:Prime EDO]] | | [[Category:Prime EDO]] |
| [[Category:Marrakesh]] | | [[Category:Marrakesh]] |