73edo: Difference between revisions
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m marrakesh link now via redirect page |
m Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot |
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73edo is the 21st [[prime edo]]. | 73edo is the 21st [[prime edo]]. | ||
[[Category: | [[Category:Equal divisions of the octave]] | ||
[[Category:Prime EDO]] | [[Category:Prime EDO]] | ||
[[Category:Marrakesh]] | [[Category:Marrakesh]] | ||
Revision as of 23:13, 4 December 2020
73-EDO divides the octave into 73 equal parts of 16.438 cents 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.
| Prime number | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | |
|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +4.89 | +8.21 | +1.04 | +7.59 | -2.17 | -6.33 | -1.62 | -3.62 |
| relative (%) | +29.8 | +49.9 | +6.3 | +46.1 | -13.2 | -38.5 | -9.9 | -22.0 | |
| Degree (reduced) | 116 (43) | 170 (24) | 205 (59) | 253 (34) | 270 (51) | 298 (6) | 310 (18) | 330 (38) | |
73edo fits in mavila scale, by the 9;5 relation in the superdiatonic scheme.
73edo is the 21st prime edo.