67ed5: Difference between revisions

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Created page with "'''Division of the 5th harmonic into 67 equal parts''' (67ed5) is related to 29 edo, but with the 5/1 rather than the 2/1 being just. The octave is about 6.0164 cent..."
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| | 22/21 ~ [[21/20]]
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| | 80/63, [[14/11]]
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| | 706.9751
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| | 200/133
| | pseudo-[[3/2]]
| | pseudo-[[3/2]]
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| | 375/196
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| | [[49/25]]
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| | 29
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| | 1206.0164
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| | 800/399, 225/112
| | pseudo-[[octave]]
| | pseudo-[[octave]]
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| | [[77/75|154/75]]
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| | 495/224, [[21/19|42/19]]
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| | 297/128
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| | [[19/16|19/8]]
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| | 375/154
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| | [[56/45|112/45]], 399/160
| | pseudo-[[5/2]]
| | pseudo-[[5/2]]
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| | pseudo-[[10/3]]
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| | [[33/32|33/8]]
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| | 2495.2063
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| | [[19/18|38/9]]
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| | 1000/231, 693/160
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| | 133/30
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| | 2619.9666
| | 2619.9666
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| | [[25/22|50/11]]
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| | 2661.5534
| | 2661.5534
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| | 3136/675
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| | 2703.1402
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| | [[25/21|100/21]]
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Line 348: Line 348:
| | just major third plus two octaves
| | just major third plus two octaves
|}
|}
==67ed5 as a generator==
67ed5 can also be thought of as a [[generator]] of the 2.3.5.7.11.19 [[Subgroup temperaments|subgroup temperament]] which tempers out 441/440, 513/512, 4000/3993, and 10125/10108, which is a cluster temperament with 29 clusters of notes in an octave. The small chroma interval between adjacent notes in each cluster is very versatile, representing 205821/204800 ~ 210/209 ~ 225/224 ~ 7448/7425 ~ 361/360 ~ 400/399 ~ 1375/1372 ~ 200704/200475 all tempered together. This temperament is supported by [[29edo]], [[202edo]], and [[231edo]].