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130edo: Difference between revisions

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''130edo'' divides the octave into 130 parts of size 9.231 cents each. It is the tenth [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta integral edo]] but not a gap edo. It can be used to tune a variety of temperaments, including hemiwürschmidt, sesquiquartififths, harry and hemischismic. It also can be used to tune the rank-three temperament [[Breed_family#Jove, aka Wonder|jove]], tempering out 243/242 and 441/440, plus 364/363 for the 13-limit and 595/594 for the 17-limit. It gives the [[Optimal_patent_val|optimal patent val]] for 11-limit [[Würschmidt_family#Hemiwürschmidt|hemiwürschmidt]] and [[Schismatic_family#Sesquiquartififths|sesquart]] and 13-limit [[Breedsmic_temperaments#Harry|harry]] temperaments.
'''130edo''' divides the octave into 130 parts of size 9.231 cents each.  
 
130edo is the tenth [[The_Riemann_Zeta_Function_and_Tuning #Zeta EDO lists|zeta integral edo]] but not a gap edo. It can be used to tune a variety of temperaments, including [[hemiwürschmidt]], [[sesquiquartififths]], [[harry]] and [[hemischismic]]. It also can be used to tune the rank-three temperament [[Breed_family#Jove, aka Wonder|jove]], tempering out [[243/242]] and [[441/440]], plus [[364/363]] for the 13-limit and [[595/594]] for the 17-limit. It gives the [[optimal patent val]] for 11-limit [[Würschmidt_family #Hemiwürschmidt|hemiwürschmidt]] and [[Schismatic_family #Sesquiquartififths|sesquart]] and 13-limit [[Breedsmic_temperaments #Harry|harry]] temperaments.


7-limit commas: 2401/2400, 3136/3125, 19683/19600
7-limit commas: 2401/2400, 3136/3125, 19683/19600
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! Associated Temperament
! Associated Temperament
|-
|-
| | 0
| 0
| | 0.000
| 0.000
| |  
|  
|-
|-
| | 1
| 1
| | 9.231
| 9.231
| |  
|  
|-
|-
| | 2
| 2
| | 18.462
| 18.462
| |  
|  
|-
|-
| | 3
| 3
| | 27.692
| 27.692
| |  
|  
|-
|-
| | 4
| 4
| | 36.923
| 36.923
| |  
|  
|-
|-
| | 5
| 5
| | 46.154
| 46.154
| |  
|  
|-
|-
| | 6
| 6
| | 55.385
| 55.385
| |  
|  
|-
|-
| | 7
| 7
| | 64.615
| 64.615
| |  
|  
|-
|-
| | 8
| 8
| | 73.846
| 73.846
| |  
|  
|-
|-
| | 9
| 9
| | 83.077
| 83.077
| | [[Breedsmic_temperaments#Harry|Harry]]
| [[Harry]]
|-
|-
| | 10
| 10
| | 92.308
| 92.308
| |  
|  
|-
|-
| | 11
| 11
| | 101.538
| 101.538
| |  
|  
|-
|-
| | 12
| | 12
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| |  
| |  
|-
|-
| | 13
| 13
| | 120.000
| 120.000
| |  
|  
|-
|-
| | 14
| 14
| | 129.231
| 129.231
| |  
|  
|-
|-
| | 15
| 15
| | 138.462
| 138.462
| |  
|  
|-
|-
| | 16
| 16
| | 147.692
| 147.692
| |  
|  
|-
|-
| | 17
| 17
| | 156.923
| 156.923
| |  
|  
|-
|-
| | 18
| 18
| | 166.154
| 166.154
| |  
|  
|-
|-
| | 19
| 19
| | 175.385
| 175.385
| | [[Schismatic_family#Sesquiquartififths|Sesquart]]
| [[Schismatic_family #Sesquiquartififths|Sesquart]]
|-
|-
| | 20
| 20
| | 184.615
| 184.615
| |  
|  
|-
|-
| | 21
| 21
| | 193.846
| 193.846
| | Hemiwürschmidt
| [[Hemiwürschmidt]]
|-
|-
| | 22
| 22
| | 203.077
| 203.077
| |  
|  
|-
|-
| | 23
| 23
| | 212.308
| 212.308
| |  
|  
|-
|-
| | 24
| 24
| | 221.538
| 221.538
| |  
|  
|-
|-
| | 25
| 25
| | 230.769
| 230.769
| |  
|  
|-
|-
| | 26
| 26
| | 240.000
| 240.000
| |  
|  
|-
|-
| | 27
| 27
| | 249.231
| 249.231
| | Hemischismic
| [[Hemischismic]]
|-
|-
| | 28
| 28
| | 258.462
| 258.462
| |  
|  
|-
|-
| | 29
| 29
| | 267.692
| 267.692
| |  
|  
|-
|-
| | 30
| 30
| | 276.923
| 276.923
| |  
|  
|-
|-
| | 31
| 31
| | 286.154
| 286.154
| |  
|  
|-
|-
| | 32
| 32
| | 295.385
| 295.385
| |  
|  
|-
|-
| | 33
| 33
| | 304.615
| 304.615
| |  
|  
|-
|-
| | 34
| 34
| | 313.846
| 313.846
| |  
|  
|-
|-
| | 35
| 35
| | 323.077
| 323.077
| |  
|  
|-
|-
| | 36
| 36
| | 332.308
| 332.308
| |  
|  
|-
|-
| | 37
| 37
| | 341.538
| 341.538
| |  
|  
|-
|-
| | 38
| 38
| | 350.769
| 350.769
| |  
|  
|-
|-
| | 39
| 39
| | 360.000
| 360.000
| |  
|  
|-
|-
| | 40
| 40
| | 369.231
| 369.231
| |  
|  
|-
|-
| | 41
| 41
| | 378.462
| 378.462
| |  
|  
|-
|-
| | 42
| 42
| | 387.692
| 387.692
| |  
|  
|-
|-
| | 43
| 43
| | 396.923
| 396.923
| |  
|  
|-
|-
| | 44
| 44
| | 406.154
| 406.154
| |  
|  
|-
|-
| | 45
| 45
| | 415.385
| 415.385
| |  
|  
|-
|-
| | 46
| 46
| | 424.615
| 424.615
| |  
|  
|-
|-
| | 47
| 47
| | 433.846
| 433.846
| |  
|  
|-
|-
| | 48
| 48
| | 443.077
| 443.077
| |  
|  
|-
|-
| | 49
| 49
| | 452.308
| 452.308
| |  
|  
|-
|-
| | 50
| 50
| | 461.538
| 461.538
| |  
|  
|-
|-
| | 51
| 51
| | 470.769
| 470.769
| |  
|  
|-
|-
| | 52
| 52
| | 480.000
| 480.000
| |  
|  
|-
|-
| | 53
| 53
| | 489.231
| 489.231
| |  
|  
|-
|-
| | 54
| 54
| | 498.462
| 498.462
| |  
|  
|-
|-
| | 55
| 55
| | 507.692
| 507.692
| |  
|  
|-
|-
| | 56
| 56
| | 516.923
| 516.923
| |  
|  
|-
|-
| | 57
| 57
| | 526.154
| 526.154
| |  
|  
|-
|-
| | 58
| 58
| | 535.385
| 535.385
| |  
|  
|-
|-
| | 59
| 59
| | 544.615
| 544.615
| |  
|  
|-
|-
| | 60
| 60
| | 553.846
| 553.846
| |  
|  
|-
|-
| | 61
| 61
| | 563.077
| 563.077
| |  
|  
|-
|-
| | 62
| 62
| | 572.308
| 572.308
| |  
|  
|-
|-
| | 63
| 63
| | 581.538
| 581.538
| |  
|  
|-
|-
| | 64
| 64
| | 590.769
| 590.769
| |  
|  
|-
|-
| | 65
| 65
| | 600.000
| 600.000
| |  
|  
|-
|-
|…
|…
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== Music ==
== Music ==
[http://www.archive.org/details/TheParadiseOfCantor The Paradise of Cantor] [http://www.archive.org/download/TheParadiseOfCantor/cantor.mp3 play] by [[Gene_Ward_Smith|Gene Ward Smith]]       
[http://www.archive.org/details/TheParadiseOfCantor The Paradise of Cantor] [http://www.archive.org/download/TheParadiseOfCantor/cantor.mp3 play] by [[Gene Ward Smith]]       


[[Category:edo]]
[[Category:Edo]]
[[Category:harry]]
[[Category:Harry]]
[[Category:hemischismic]]
[[Category:Hemischismic]]
[[Category:hemiwuerschmidt]]
[[Category:Hemiwuerschmidt]]
[[Category:listen]]
[[Category:Listen]]
[[Category:sesquiquartififths]]
[[Category:Sesquiquartififths]]
[[Category:zeta]]
[[Category:Zeta]]
Retrieved from "https://en.xen.wiki/w/130edo"