15edf: Difference between revisions

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m Stub mbox, add harmonics, make table collapsible
 
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=15edf=
{{Infobox ET}}
'''15EDF''' is the [[EDF|equal division of the just perfect fifth]] into 15 parts of 46.797 [[cent|cents]] each, corresponding to 25.6427 [[edo]] (similar to every third step of [[77edo]]). The [[3edf]]~[[5edo]] correspondence has completely collapsed by this point, with this EDF being closer to [[26edo]] than [[25edo]].


0: 1/1 0.000 unison, perfect prime
Lookalikes: [[26edo]], [[41edt]]


1: 46.797 cents 46.797
==Harmonics==
{{Harmonics in equal|15|3|2}}
{{Harmonics in equal|15|3|2|start=12|collapsed=1}}


2: 93.594 cents 93.594
==Intervals==
{| class="wikitable mw-collapsible"
|+ Intervals of 15edf
|-
! | degree
! | cents value
! | corresponding <br>JI intervals
! | comments
|-
! colspan="2" | 0
| | '''exact [[1/1]]'''
| |
|-
| | 1
| | 46.797
| |
| |
|-
| | 2
| | 93.594
| | [[19/18]]
| |
|-
| | 3
| | 140.391
| | [[13/12]]
| |
|-
| | 4
| | 187.188
| | [[10/9]]
| |
|-
| | 5
| | 233.985
| | [[8/7]]
| |
|-
| | 6
| | 280.782
| | [[20/17]]
| |
|-
| | 7
| | 327.579
| |
| |
|-
| | 8
| | 374.376
| |
| |
|-
| | 9
| | 421.173
| | 51/40
| |
|-
| | 10
| | 467.97
| | [[21/16]]
| |
|-
| | 11
| | 514.767
| | [[27/20]]
| |
|-
| | 12
| | 561.564
| | [[18/13]]
| |
|-
| | 13
| | 608.361
| | 27/19
| |
|-
| | 14
| | 655.158
| |
| |
|-
| | 15
| | 701.955
| | '''exact [[3/2]]'''
| | just perfect fifth
|-
|16
|748.752
|
|
|-
|17
|795.549
|19/12
|
|-
|18
|842.346
|13/8
|
|-
|19
|889.143
|5/3
|
|-
|20
|935.94
|12/7
|
|-
|21
|982.737
|30/17
|
|-
|22
|1029.534
|
|
|-
|23
|1076.331
|
|
|-
|24
|1123.128
|153/80
|
|-
|25
|1168.925
|63/32
|
|-
|26
|1216.722
|81/40
|
|-
|27
|1263.519
|27/13
|
|-
|28
|1310.316
|81/38
|
|-
|29
|1357.113
|
|
|-
|30
|1403.91
|'''exact''' 9/4
|
|}


3: 140.391 cents 140.391


4: 187.188 cents 187.188
{{stub}}
 
5: 233.985 cents 233.985
 
6: 280.782 cents 280.782
 
7: 327.579 cents 327.579
 
8: 374.376 cents 374.376
 
9: 421.173 cents 421.173
 
10: 467.970 cents 467.970
 
11: 514.767 cents 514.767
 
12: 561.564 cents 561.564
 
13: 608.361 cents 608.361
 
14: 655.158 cents 655.158
 
15: 3/2 701.955 perfect fifth
 
Lookalikes: [[26edo|26edo]]
 
*this is an interesting one