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'''37EDF''' is the [[EDF|equal division of the just perfect fifth]] into 37 parts of 18.9718 [[cent|cents]] each, corresponding to 63.2519 [[edo]] (similar to every fourth step of [[253edo]]). It is related to the regular temperament which tempers out 385/384, 12005/11979, and 820125/819896 in the 11-limit, which is supported by [[63edo]], [[190edo]], and [[253edo]] among others.
'''37EDF''' is the [[EDF|equal division of the just perfect fifth]] into 37 parts of 18.9718 [[cent|cents]] each, corresponding to 63.2519 [[edo]] (similar to every fourth step of [[253edo]]). It is related to the regular temperament which tempers out 385/384, 12005/11979, and 820125/819896 in the 11-limit, which is supported by [[63edo]], [[190edo]], and [[253edo]] among others.
==Intervals==
{| class="wikitable"
|-
! | degree
! | cents value
! | corresponding <br>JI intervals
! | comments
|-
| | 0
| | 0.0000
| | '''exact [[1/1]]'''
| |
|-
| | 1
| | 18.9718
| |
| |
|-
| | 2
| | 37.9435
| | [[45/44]]
| |
|-
| | 3
| | 56.9153
| |
| |
|-
| | 4
| | 75.8870
| |
| |
|-
| | 5
| | 94.8588
| |
| |
|-
| | 6
| | 113.8305
| | [[16/15]]
| |
|-
| | 7
| | 132.8023
| |
| |
|-
| | 8
| | 151.7741
| | [[12/11]]
| |
|-
| | 9
| | 170.7458
| |
| |
|-
| | 10
| | 189.7176
| |
| |
|-
| | 11
| | 208.6893
| |
| |
|-
| | 12
| | 227.6611
| |
| |
|-
| | 13
| | 246.6328
| | [[15/13]]
| |
|-
| | 14
| | 265.6046
| | [[7/6]]
| |
|-
| | 15
| | 284.5764
| | 33/28
| |
|-
| | 16
| | 303.5481
| | 81/68
| |
|-
| | 17
| | 322.5199
| |
| |
|-
| | 18
| | 341.4916
| |
| |
|-
| | 19
| | 360.4634
| |
| |
|-
| | 20
| | 379.4351
| |
| |
|-
| | 21
| | 398.4069
| | 34/27
| |
|-
| | 22
| | 417.3786
| | [[14/11]]
| |
|-
| | 23
| | 436.3504
| | [[9/7]]
| |
|-
| | 24
| | 455.3222
| | [[13/10]]
| |
|-
| | 25
| | 474.2939
| |
| |
|-
| | 26
| | 493.2657
| |
| |
|-
| | 27
| | 512.2374
| |
| |
|-
| | 28
| | 531.2092
| |
| |
|-
| | 29
| | 550.1809
| | [[11/8]]
| |
|-
| | 30
| | 569.1527
| |
| |
|-
| | 31
| | 588.1245
| | [[45/32]]
| |
|-
| | 32
| | 607.0962
| |
| |
|-
| | 33
| | 626.0680
| |
| |
|-
| | 34
| | 645.0397
| |
| |
|-
| | 35
| | 664.0115
| | [[22/15]]
| |
|-
| | 36
| | 682.9832
| |
| |
|-
| | 37
| | 701.9550
| | '''exact [[3/2]]'''
| | just perfect fifth
|}
==Related regular temperaments==
===7-limit 63&amp;190===
Commas: 2460375/2458624, 514714375/509607936
POTE generator: ~1728/1715 = 18.957
Map: [&lt;1 1 3 2|, &lt;0 37 -43 51|]
EDOs: 63, 190, 253
===11-limit 63&amp;190===
Commas: 385/384, 12005/11979, 820125/819896
POTE generator: ~99/98 = 18.957
Map: [&lt;1 1 3 2 3|, &lt;0 37 -43 51 29|]
EDOs: 63, 190, 253
===13-limit 63&amp;190===
Commas: 385/384, 1575/1573, 2200/2197, 4459/4455
POTE generator: ~99/98 = 18.959
Map: [&lt;1 1 3 2 3 4|, &lt;0 37 -43 51 29 -19|]
EDOs: 63, 190, 253


[[Category:Edf]]
[[Category:Edf]]
[[Category:Edonoi]]
[[Category:Edonoi]]
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