376edo: Difference between revisions

Revision as of 14:45, 9 November 2023

376edo is consistent up to the 11-odd-limit, but the error of the harmonic 7 is quite large, though it approximates the 5-limit very accurately. In the 5-limit, it supports gammic, kwazy, lafa and vulture temperaments. Using the patent val in the 11-limit, it supports the octoid temperament, and the rank-3 temperaments hades, hanuman, indra and thor.

Approximation of prime harmonics in 376edo
Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.00	+0.17	-0.14	+1.39	+0.81	-1.17	+0.36	-0.70	+0.45	+1.27	+0.71
Error	Relative (%)	+0.0	+5.4	-4.5	+43.5	+25.4	-36.5	+11.4	-22.1	+14.1	+39.9	+22.2
Steps (reduced)		376 (0)	596 (220)	873 (121)	1056 (304)	1301 (173)	1391 (263)	1537 (33)	1597 (93)	1701 (197)	1827 (323)	1863 (359)

Since 376 factors into 2³ × 47, 376edo has subset edos 2, 4, 8, 47, 94, and 188.

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 {{EDO intro|376}}
-edo is [[consistent]] up to the [[11-odd-limit]], but the error of the [[harmonic]] [[7/1|7]] is quite large, though it approximates the 5-limit very accurately. In the 5-limit, it [[support]]s [[gammic]], [[kwazy]], [[lafa]] and [[vulture]] temperaments. Using the [[patent vall]] in the 11-limit, it supports the [[octoid]] temperament, and the rank-3 temperaments [[hades]], [[hanuman]], [[indra]] and [[thor]].
+edo is [[consistent]] up to the [[11-odd-limit]], but the error of the [[harmonic]] [[7/1|7]] is quite large, though it approximates the 5-limit very accurately. In the 5-limit, it [[support]]s [[gammic]], [[kwazy]], [[lafa]] and [[vulture]] temperaments. Using the [[patent val]] in the 11-limit, it supports the [[octoid]] temperament, and the rank-3 temperaments [[hades]], [[hanuman]], [[indra]] and [[thor]].
 === Prime harmonics ===