1778edo: Difference between revisions
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1778edo is [[consistent]] to the [[9-odd-limit]], but the errors of both [[harmonic]]s [[5/1|5]] and [[7/1|7]] are quite large. It is [[enfactoring|enfactored]] in the 5-limit, with the same tuning as [[889edo]], [[tempering out|tempering out]] {{monzo| -29 -11 20 }} (gammic comma) and {{monzo| -69 45 -1 }} ([[counterschisma]]). In the 7-limit, the equal temperament tempers out 2401/2400 ([[breedsma]]) and 48828125/48771072 (neptunisma). It provides the [[optimal patent val]] for the 7-limit [[neptune]] temperament. | 1778edo is [[consistent]] to the [[9-odd-limit]], but the errors of both [[harmonic]]s [[5/1|5]] and [[7/1|7]] are quite large. It is [[enfactoring|enfactored]] in the 5-limit, with the same tuning as [[889edo]], [[tempering out|tempering out]] {{monzo| -29 -11 20 }} (gammic comma) and {{monzo| -69 45 -1 }} ([[counterschisma]]). In the 7-limit, the equal temperament tempers out 2401/2400 ([[breedsma]]) and 48828125/48771072 (neptunisma). It provides the [[optimal patent val]] for the 7-limit [[Neptune (temperament)|neptune]] temperament. | ||
For higher harmonics, it is suitable for a 2.3.11.19.23.43.47.61 [[subgroup]] interpretation. | For higher harmonics, it is suitable for a 2.3.11.19.23.43.47.61 [[subgroup]] interpretation. | ||