30ed7: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,025 edits
minor edit
Tags: Mobile edit Mobile web edit
Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
8,705 edits
simplified table markup, more consistent links for intervals: most octavated versions do not exist, the octave-reduced versions are now explicitly linked in the comments column
Line 1: Line 1:
'''[[Ed7|Division of the 7th harmonic]] into 30 equal parts''' (30ed7) is related to [[17edt]], but with the 7/1 rather than the 3/1 being just. The step size is about 112.2942 cents, corresponding to 10.6862 [[edo]].
'''[[Ed7|Division of the 7th harmonic]] into 30 equal parts''' (30ed7) is related to [[17edt]], but with the 7/1 rather than the 3/1 being just. The step size is about 112.2942 [[cent]]s, corresponding to 10.6862 [[edo]].


{| class="wikitable"
{| class="wikitable"
|-
|-
! | degree
! degree
! | cents value
! cents value
! | corresponding <br>JI intervals
! corresponding <br>JI intervals
! | comments
! comments
|-
|-
| | 0
| 0
| | 0.0000
| 0.0000
| | '''exact [[1/1]]'''
| '''[[1/1]]'''
| |  
|  
|-
|-
| | 1
| 1
| | 112.2942
| 112.2942
| | [[16/15]]
| [[16/15]]
| |  
|  
|-
|-
| | 2
| 2
| | 224.5884
| 224.5884
| | [[25/22]], 91/80, 57/50, 65/57
| [[25/22]], 91/80, 57/50, 65/57
| |  
|  
|-
|-
| | 3
| 3
| | 336.8826
| 336.8826
| | [[17/14]]
| [[17/14]]
| |  
|  
|-
|-
| | 4
| 4
| | 449.1768
| 449.1768
| | [[22/17]], 35/27
| [[22/17]], [[35/27]]
| |  
|  
|-
|-
| | 5
| 5
| | 561.4710
| 561.4710
| | [[18/13]]
| [[18/13]]
| | pseudo-[[7/5]]
| pseudo-[[7/5]]
|-
|-
| | 6
| 6
| | 673.7652
| 673.7652
| | [[28/19]], 96/65, 65/44, 34/23
| [[28/19]], 96/65, 65/44, 34/23
| |  
|  
|-
|-
| | 7
| 7
| | 786.0594
| 786.0594
| | 63/40
| 63/40
| |  
|  
|-
|-
| | 8
| 8
| | 898.3536
| 898.3536
| | 42/25
| 42/25
| | pseudo-[[5/3]]
| pseudo-[[5/3]]
|-
|-
| | 9
| 9
| | 1010.6478
| 1010.6478
| | 70/39
| 70/39
| |  
|  
|-
|-
| | 10
| 10
| | 1122.9420
| 1122.9420
| | 44/23, 245/128
| 44/23, 245/128
| |
|
|-
|-
| | 11
| 11
| | 1235.2362
| 1235.2362
| | [[49/48|49/24]]
| 49/24
| |
| [[49/48]] plus octave
|-
|-
| | 12
| 12
| | 1347.5304
| 1347.5304
| | [[12/11|24/11]]
| 24/11
| |
| [[12/11]] plus octave
|-
|-
| | 13
| 13
| | 1459.8246
| 1459.8246
| |  
|  
| | pseudo-[[7/3]]
| pseudo-[[7/3]]
|-
|-
| | 14
| 14
| | 1572.1188
| 1572.1188
| | 119/48
| 119/48
| |  
|  
|-
|-
| | 15
| 15
| | 1684.4130
| 1684.4130
| | 119/45, 45/17
| 119/45, 45/17
| |  
|  
|-
|-
| | 16
| 16
| | 1796.7072
| 1796.7072
| | [[24/17|48/17]]
| 48/17
| |
| [[24/17]] plus octave
|-
|-
| | 17
| 17
| | 1909.0013
| 1909.0013
| |  
|  
| | pseudo-[[3/1]]
| pseudo-[[3/1]]
|-
|-
| | 18
| 18
| | 2021.2955
| 2021.2955
| | 77/24
| 77/24
| |  
|  
|-
|-
| | 19
| 19
| | 2133.5897
| 2133.5897
| | [[12/7|24/7]]
| 24/7
| |
| [[12/7]] plus octave
|-
|-
| | 20
| 20
| | 2245.8839
| 2245.8839
| | 128/35, 161/44
| 128/35, 161/44
| |  
|  
|-
|-
| | 21
| 21
| | 2358.1781
| 2358.1781
| | 39/10
| 39/10
| |  
|  
|-
|-
| | 22
| 22
| | 2470.4723
| 2470.4723
| | [[25/24|25/6]]
| 25/6
| |
| [[25/24]] plus two octaves
|-
|-
| | 23
| 23
| | 2582.7665
| 2582.7665
| | [[10/9|40/9]]
| 40/9
| |
| [[10/9]] plus two octaves
|-
|-
| | 24
| 24
| | 2695.0607
| 2695.0607
| | 19/4
| 19/4
| |  
|  
|-
|-
| | 25
| 25
| | 2807.3549
| 2807.3549
| | 91/18
| 91/18
| | pseudo-[[5/1]]
| pseudo-[[5/1]]
|-
|-
| | 26
| 26
| | 2919.6491
| 2919.6491
| | [[27/20|27/5]]
| 27/5
| |
| [[27/20]] plus two octaves
|-
|-
| | 27
| 27
| | 3031.9433
| 3031.9433
| | 98/17
| 98/17
| |  
|  
|-
|-
| | 28
| 28
| | 3144.2375
| 3144.2375
| | [[20/13|80/13]]
| 80/13
| |
| [[20/13]] plus two octaves
|-
|-
| | 29
| 29
| | 3256.5317
| 3256.5317
| | 105/16, 46/7
| 105/16, 46/7
| |  
|  
|-
|-
| | 30
| 30
| | 3368.8259
| 3368.8259
| | '''exact [[7/1]]'''
| '''[[7/1]]'''
| | [[7/4|harmonic seventh]] plus two octaves
| [[7/4]] plus two octaves
|}
|}


[[Category:Ed7]]
[[Category:Ed7]]
[[Category:Edonoi]]
[[Category:Edonoi]]

Revision as of 09:59, 26 May 2020

Division of the 7th harmonic into 30 equal parts (30ed7) is related to 17edt, but with the 7/1 rather than the 3/1 being just. The step size is about 112.2942 cents, corresponding to 10.6862 edo.

degree cents value corresponding
JI intervals 		comments
0 0.0000 1/1
1 112.2942 16/15
2 224.5884 25/22, 91/80, 57/50, 65/57
3 336.8826 17/14
4 449.1768 22/17, 35/27
5 561.4710 18/13 pseudo-7/5
6 673.7652 28/19, 96/65, 65/44, 34/23
7 786.0594 63/40
8 898.3536 42/25 pseudo-5/3
9 1010.6478 70/39
10 1122.9420 44/23, 245/128
11 1235.2362 49/24 49/48 plus octave
12 1347.5304 24/11 12/11 plus octave
13 1459.8246 pseudo-7/3
14 1572.1188 119/48
15 1684.4130 119/45, 45/17
16 1796.7072 48/17 24/17 plus octave
17 1909.0013 pseudo-3/1
18 2021.2955 77/24
19 2133.5897 24/7 12/7 plus octave
20 2245.8839 128/35, 161/44
21 2358.1781 39/10
22 2470.4723 25/6 25/24 plus two octaves
23 2582.7665 40/9 10/9 plus two octaves
24 2695.0607 19/4
25 2807.3549 91/18 pseudo-5/1
26 2919.6491 27/5 27/20 plus two octaves
27 3031.9433 98/17
28 3144.2375 80/13 20/13 plus two octaves
29 3256.5317 105/16, 46/7
30 3368.8259 7/1 7/4 plus two octaves
Retrieved from "https://en.xen.wiki/index.php?title=30ed7&oldid=44998"