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'''29EDF''' is the [[EDF|equal division of the just perfect fifth]] into 29 parts of 24.2053 [[cent|cents]] each, corresponding to 49.5758 [[edo]]. It is related to the [[Hemimean clan|sengagen temperament]], which tempers out 3136/3125 and 420175/419904 in the 7-limit.
{{Infobox ET}}
'''29EDF''' is the [[EDF|equal division of the just perfect fifth]] into 29 parts of 24.2053 [[cent|cents]] each, corresponding to 49.5758 [[edo]]. It is related to the [[Hemimean clan#Sengagen|sengagen temperament]], which tempers out 3136/3125 and 420175/419904 in the 7-limit.


{| class="wikitable"
== Harmonics ==
{{Harmonics in equal|29|3|2}}
{{Harmonics in equal|29|3|2|start=12|collapsed=1}}
 
== Intervals ==
{| class="wikitable mw-collapsible"
|+ Intervals of 29edf
|-
|-
! | degree
! | degree
Line 8: Line 15:
! | comments
! | comments
|-
|-
| | 0
| colspan="2"| 0
| | 0.0000
| | '''exact [[1/1]]'''
| | '''exact [[1/1]]'''
| |  
| |  
Line 15: Line 21:
| | 1
| | 1
| | 24.2053
| | 24.2053
| |  
| | 72/71
| |  
| |  
|-
|-
Line 25: Line 31:
| | 3
| | 3
| | 72.6160
| | 72.6160
| |  
| | [[24/23]]
| |  
| |  
|-
|-
| | 4
| | 4
| | 96.8214
| | 96.8214
| |  
| | 37/35, 55/52
| |  
| |  
|-
|-
Line 40: Line 46:
| | 6
| | 6
| | 145.2321
| | 145.2321
| |  
| | 25/23, 37/34
| |  
| |  
|-
|-
Line 60: Line 66:
| | 10
| | 10
| | 242.0534
| | 242.0534
| |  
| | [[23/20]]
| |  
| |  
|-
|-
Line 70: Line 76:
| | 12
| | 12
| | 290.4641
| | 290.4641
| |  
| | 71/60
| |  
| |  
|-
|-
Line 80: Line 86:
| | 14
| | 14
| | 338.8748
| | 338.8748
| |  
| | 45/37
| |  
| |  
|-
|-
| | 15
| | 15
| | 363.0802
| | 363.0802
| |  
| | 37/30
| |  
| |  
|-
|-
Line 95: Line 101:
| | 17
| | 17
| | 411.4909
| | 411.4909
| |  
| | 90/71
| |  
| |  
|-
|-
Line 105: Line 111:
| | 19
| | 19
| | 459.9016
| | 459.9016
| |  
| | [[30/23]]
| |  
| |  
|-
|-
| | 20
| | 20
| | 484.1069
| | 484.1069
| |  
| | 45/34
| |  
| |  
|-
|-
| | 21
| | 21
| | 508.3122
| | 508.3122
| |  
| | 51/38
| |  
| |  
|-
|-
Line 140: Line 146:
| | 26
| | 26
| | 629.3390
| | 629.3390
| |  
| | [[23/16]]
| |  
| |  
|-
|-
Line 157: Line 163:
| | '''exact [[3/2]]'''
| | '''exact [[3/2]]'''
| | just perfect fifth
| | just perfect fifth
|-
|30
|726.16035
|
|
|-
|31
|750.3657
|
|
|-
|32
|774.5710
|
|
|-
|33
|798.7764
|
|
|-
|34
|822.9817
|45/28
|
|-
|35
|847.1871
|
|
|-
|36
|871.3924
|81/49
|
|-
|37
|895.5978
|57/34
|
|-
|38
|919.8031
|17/10
|
|-
|39
|944.00845
|
|
|-
|40
|968.2138
|7/4
|
|-
|41
|992.4191
|16/9
|
|-
|42
|1016.6245
|9/5
|
|-
|43
|1040.8298
|
|
|-
|44
|1065.0352
|
|
|-
|45
|1089.2405
|15/8
|
|-
|46
|1113.4459
|
|
|-
|47
|1137.6512
|56/29
|
|-
|48
|1161.8566
|
|
|-
|49
|1186.0619
|(2/1-)
|
|-
|50
|1210.2672
|(2/1+)
|
|-
|51
|1234.4726
|49/24
|
|-
|52
|1258.6779
|29/14
|
|-
|53
|1282.8833
|21/10
|
|-
|54
|1307.0886
|17/8
|
|-
|55
|1331.2940
|41/19
|
|-
|56
|1355.4993
|35/16
|
|-
|57
|1379.7047
|20/9
|
|-
|58
|1403.9100
|exact 9/4
|
|}
|}


Line 164: Line 315:
*[[Carlos Gamma|Carlos Gamma (20 EDF)]]
*[[Carlos Gamma|Carlos Gamma (20 EDF)]]


[[Category:Edf]]
{{todo|expand}}
[[Category:Edonoi]]
Retrieved from "https://en.xen.wiki/w/29edf"