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| {{Primes in edo|98}} | | {{Primes in edo|98}} |
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| Since 98 EDO has a step of 12.245 cents, it also allows one to use its MOS scales as circulating temperaments. As ''2*7*[[7edo]]'', It is the first ''km<sup>n</sup>'' EDO which does this and the first EDO which allows one to use a Magic MOS scale as a circulating temperament.
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| {| class="wikitable center-all"
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| |+ Circulating temperaments in 98 EDO
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| |-
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| ! Tones
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| ! Pattern
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| ! L:s
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| |-
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| | 5
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| | [[3L 2s]]
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| | 20:19
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| |-
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| | 6
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| | [[2L 4s]]
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| | 17:16
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| |-
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| | 7
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| | ''[[7 EDO]]''
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| | ''equal''
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| |-
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| | 8
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| | [[2L 6s]]
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| | 13:12
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| |-
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| | 9
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| | [[8L 1s]]
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| | 11:10
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| |-
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| | 10
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| | [[8L 2s]]
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| | 10:9
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| |-
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| | 11
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| | [[10L 1s]]
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| | rowspan="2" | 9:8
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| |-
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| | 12
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| | [[2L 10s]]
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| |-
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| | 13
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| | [[7L 6s]]
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| | 8:7
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| |-
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| | 14
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| | ''[[14 EDO]]''
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| | ''equal''
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| |-
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| | 15
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| | [[8L 7s]]
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| | rowspan="2" | 7:6
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| |-
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| | 16
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| | 2L 14s
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| |-
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| | 17
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| | 13L 4s
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| | rowspan="3" | 6:5
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| |-
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| | 18
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| | 8L 10s
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| |-
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| | 19
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| | [[3L 16s]]
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| |-
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| | 20
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| | 18L 2s
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| | rowspan="5" | 5:4
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| |-
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| | 21
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| | 14L 7s
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| |-
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| | 22
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| | 10L 12s
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| |-
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| | 23
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| | 6L 17s
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| |-
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| | 24
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| | 2L 22s
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| |-
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| | 25
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| | 23L 2s
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| | rowspan="8" | 4:3
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| |-
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| | 26
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| | 20L 6s
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| |-
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| | 27
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| | 17L 10s
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| |-
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| | 28
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| | 14L 14s
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| |-
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| | 29
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| | 11L 18s
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| |-
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| | 30
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| | 8L 22s
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| |-
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| | 31
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| | 5L 26s
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| |-
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| | 32
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| | 2L 30s
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| |-
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| | 33
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| | 32L 1s
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| | rowspan="16" | 3:2
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| |-
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| | 34
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| | 30L 4s
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| |-
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| | 35
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| | 28L 7s
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| |-
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| | 36
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| | 26L 10s
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| |-
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| | 37
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| | 24L 13s
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| |-
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| | 38
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| | 22L 16s
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| |-
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| | 39
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| | 20L 19s
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| |-
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| | 40
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| | 18L 22s
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| |-
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| | 41
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| | 16L 25s
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| |-
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| | 42
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| | 14L 28s
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| |-
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| | 43
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| | 12L 31s
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| |-
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| | 44
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| | 10L 34s
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| |-
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| | 45
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| | 8L 37s
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| |-
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| | 46
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| | 6L 40s
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| |-
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| | 47
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| | 4L 43s
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| |-
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| | 48
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| | 2L 46s
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| |-
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| | 49
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| | ''[[49 EDO]]''
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| | ''equal''
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| |-
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| | 50
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| | 48L 2s
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| | rowspan="29" | 2:1
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| |-
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| | 51
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| | 47L 4s
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| |-
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| | 52
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| | 46L 6s
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| |-
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| | 53
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| | 45L 8s
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| |-
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| | 54
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| | 44L 10s
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| |-
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| | 55
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| | 43L 12s
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| |-
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| | 56
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| | 42L 14s
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| |-
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| | 57
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| | 41L 16s
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| |-
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| | 58
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| | 40L 18s
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| |-
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| | 59
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| | 39L 20s
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| |-
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| | 60
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| | 38L 22s
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| |-
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| | 61
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| | 37L 24s
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| |-
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| | 62
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| | 36L 26s
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| |-
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| | 63
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| | 35L 28s
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| |-
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| | 64
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| | 34L 30s
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| |-
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| | 65
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| | 33L 32s
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| |-
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| | 66
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| | 32L 34s
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| |-
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| | 67
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| | 31L 36s
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| |-
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| | 68
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| | 30L 38s
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| |-
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| | 69
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| | 29L 40s
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| |-
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| | 70
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| | 28L 42s
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| |-
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| | 71
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| | 27L 44s
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| |-
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| | 72
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| | 26L 46s
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| |-
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| | 73
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| | 25L 48s
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| |-
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| | 74
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| | 24L 50s
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| |-
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| | 75
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| | 23L 52s
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| |-
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| | 76
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| | 22L 54s
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| |-
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| | 77
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| | 21L 56s
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| |-
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| | 78
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| | 20L 58s
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| |}
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| [[Category:Equal divisions of the octave|##]] <!-- 2-digit number --> | | [[Category:Equal divisions of the octave|##]] <!-- 2-digit number --> |
| [[Category:Meantone]] | | [[Category:Meantone]] |
Revision as of 13:44, 30 May 2023
| Prime factorization
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2 × 72
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| Step size
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12.2449 ¢
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| Fifth
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57\98 (697.959 ¢)
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| Semitones (A1:m2)
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7:9 (85.71 ¢ : 110.2 ¢)
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| Consistency limit
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3
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| Distinct consistency limit
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3
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98 EDO, the 98 equal temperament divides the octave into equal parts of 12.245 cents each. The patent val has a flat 3, a sharp 5 and a slightly flat 7, and tempers out 81/80 in the 5-limit, making it a system of meantone family with a 4-cent-flat fifth. In the 7-limit it tempers out 1029/1024, 1728/1715, supporting mothra temperament, in the 11-limit 176/175 and 540/539, supporting mosura, and in the 13-limit 144/143 and 196/195. It provides the optimal patent val for 13-limit mosura temperament.
Script error: No such module "primes_in_edo".