95ed5: Difference between revisions
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'''Division of the 5th harmonic into 95 equal parts''' (95ed5) is related to [[41edo|41 edo]], but with the 5/1 rather than the 2/1 being just. The octave is about 2.5143 cents stretched and the step size about 29.3296 cents. This tuning has a generally sharp tendency for harmonics up to 12. Unlike 41edo, it is only consistent up to the [[11-limit|12-integer-limit]], with discrepancy for the 13th harmonic. | '''Division of the 5th harmonic into 95 equal parts''' (95ed5) is related to [[41edo|41 edo]], but with the 5/1 rather than the 2/1 being just. The octave is about 2.5143 cents stretched and the step size about 29.3296 cents. This tuning has a generally sharp tendency for harmonics up to 12. Unlike 41edo, it is only consistent up to the [[11-odd-limit|12-integer-limit]], with discrepancy for the 13th harmonic. | ||
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==95ed5 as a generator== | ==95ed5 as a generator== | ||
95ed5 can also be thought of as a generator of the 2.3.5.7.11.19 | 95ed5 can also be thought of as a [[generator]] of the 2.3.5.7.11.19 subgroup temperament which tempers out 1540/1539, 3025/3024, 6875/6859, and 184877/184320, which is a [[cluster temperament]] with 41 clusters of notes in an octave. While the small chroma interval between adjacent notes in each cluster represents 385/384 ~ 441/440 ~ 1479016/1476225 ~ 194579/194400 ~ 204800/204687 ~ 176000/175959 tempered together, the step interval is very versatile, representing 16807/16500 ~ 19551/19200 ~ 18000/17689 ~ 72900/71687 ~ 273375/268912 ~ 295245/290521 ~ 12100/11907 ~ 64/63 all tempered together. This temperament is supported by [[41edo]], [[491edo]] (491e val), and [[532edo]] (532d val) among others. | ||
[[Category:Ed5]] | |||
[[Category:Edonoi]] | |||