Xenharmonic Wiki

39ed5: Difference between revisions

VisualWikitext
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,024 edits
Created page with "'''Division of the 5th harmonic into 39 equal parts''' (39ed5) is a good hyperpyth tuning for the 5.7.9.11.13.19.23.31.41.43.47.51.53 subgroup. The step size about..."
 
Fredg999 category edits (talk | contribs)
autopatrolled, Bots, emailconfirmed
4,405 edits
m Removing from Category:Edonoi using Cat-a-lot
 
(7 intermediate revisions by 4 users not shown)
Line 1: Line 1:
'''[[Ed5|Division of the 5th harmonic]] into 39 equal parts''' (39ed5) is a good [[hyperpyth]] tuning for the 5.7.9.11.13.19.23.31.41.43.47.51.53 subgroup. The step size about 71.4439 cents. It is similar to every fifth step of [[84edo]], but with the 5/1 rather than the 2/1 being just.
{{Infobox ET}}
'''[[Ed5|Division of the 5th harmonic]] into 39 equal parts''' (39ED5) is a good [[hyperpyth]] tuning. The step size about 71.4439 cents. It is compared to every fifth step of [[84edo|84EDO]], but with the 5/1 rather than the 2/1 being just.


{| class="wikitable"
== Intervals ==
{| class="wikitable mw-collapsible"
|+ Intervals of 39ed5
|-
|-
! | degree
! | degree
Line 15: Line 18:
| | 1
| | 1
| | 71.4439
| | 71.4439
| | [[25/24]], 24/23
| | [[25/24]], [[24/23]]
| |  
| |  
|-
|-
| | 2
| | 2
| | 142.8879
| | 142.8879
| | 38/35, 25/23
| | 38/35, [[25/23]]
| | +9.7 cents from 27/25
| |  
|-
|-
| | 3
| | 3
| | 214.3318
| | 214.3318
| | 26/23, 43/38, 60/53, [[17/15]]
| | [[26/23]], 43/38, 60/53, [[17/15]]
| |  
| |  
|-
|-
Line 36: Line 39:
| | 357.2197
| | 357.2197
| | [[16/13]]
| | [[16/13]]
| | -15.2 cents from 31/25
| |  
|-
|-
| | 6
| | 6
Line 46: Line 49:
| | 500.1076
| | 500.1076
| | [[4/3]]
| | [[4/3]]
| | +19.5 cents from 33/25
| |  
|-
|-
| | 8
| | 8
Line 66: Line 69:
| | 785.8834
| | 785.8834
| | [[11/7]]
| | [[11/7]]
| | +16.0 cents from 39/25
| |  
|-
|-
| | 12
| | 12
| | 857.3273
| | 857.3273
| | 41/25, 23/14
| | 41/25, [[23/14]]
| | +0.9 cents from 41/25
| |  
|-
|-
| | 13
| | 13
| | 928.7712
| | 928.7712
| | 70/41, 65/38
| | 70/41, 65/38
| | -10.1 cents from 43/25
| |  
|-
|-
| | 14
| | 14
Line 86: Line 89:
| | 1071.6591
| | 1071.6591
| | [[13/7]]
| | [[13/7]]
| | -21.2 cents from 47/25
| |  
|-
|-
| | 16
| | 16
| | 1143.1031
| | 1143.1031
| | 29/15, 31/16
| | 29/15, 31/16
| | -21.9 cents from 49/25
| |  
|-
|-
| | 17
| | 17
| | 1214.5470
| | 1214.5470
| | 125/62, 115/57, 105/52
| | 125/62, 115/57, 105/52
| | -19.7 cents from 51/25
| |  
|-
|-
| | 18
| | 18
| | 1285.9909
| | 1285.9909
| | [[21/20|21/10]]
| | [[21/20|21/10]]
| | -14.9 cents from 53/25
| |  
|-
|-
| | 19
| | 19
| | 1357.4349
| | 1357.4349
| | 35/16, 46/21, 125/57
| | [[35/32|35/16]], [[23/21|46/21]], 125/57
| | -7.6 cents from 11/5
| | -7.6 cents from 11/5
|-
|-
| | 20
| | 20
| | 1428.8788
| | 1428.8788
| | 57/25, 105/46, 16/7
| | 57/25, 105/46, [[16/7]]
| | +2.0 cents from 57/25
| |  
|-
|-
| | 21
| | 21
| | 1500.3228
| | 1500.3228
| | [[25/21|50/21]]
| | [[25/21|50/21]]
| | +13.8 cents from 59/25
| |  
|-
|-
| | 22
| | 22
| | 1571.7667
| | 1571.7667
| | 52/21, 57/23, 62/25
| | [[26/21|52/21]], 57/23, 62/25
| | -28.3 cents from 63/25
| |  
|-
|-
| | 23
| | 23
Line 131: Line 134:
| | 1714.6546
| | 1714.6546
| | 35/13
| | 35/13
| | +8.0 cents from 67/25
| |  
|-
|-
| | 25
| | 25
| | 1786.0985
| | 1786.0985
| | 115/41, 160/57
| | 115/41, 160/57
| | -21.0 cents from 71/25
| |  
|-
|-
| | 26
| | 26
| | 1857.5425
| | 1857.5425
| | [[19/13|38/13]], 41/14
| | [[19/13|38/13]], 41/14
| | +2.4 cents from 73/25
| |  
|-
|-
| | 27
| | 27
Line 195: Line 198:
| | 37
| | 37
| | 2643.4258
| | 2643.4258
| | 23/5
| | [[23/20|23/5]]
| | +1.5 cents from 23/5
| | +1.5 cents from 23/5
|-
|-
Line 209: Line 212:
|}
|}


[[Category:Ed5]]
== Harmonics ==
[[Category:Edonoi]]
{{Harmonics in equal
| steps = 39
| num = 5
| denom = 1
}}
{{Harmonics in equal
| steps = 39
| num = 5
| denom = 1
| start = 12
| collapsed = 1
}}
 
[[Category:Hyperpyth]]
{{todo|expand}}
Retrieved from "https://en.xen.wiki/w/39ed5"