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2.11.13.17.19 subgroup: Difference between revisions

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==Commas==
{{Todo|inline=1|intro}}
 
== Commas ==
Here follows a selection of commas in the 2.11.13.17.19 [[domain basis]].
Here follows a selection of commas in the 2.11.13.17.19 [[domain basis]].
{| class="wikitable"
{| class="wikitable"
|+
! rowspan="2" |name
! rowspan="2" |prime-count vector
! rowspan="2" |ratio
! rowspan="2" |cents
! colspan="5" |as composition of other commas
! colspan="10" |tempered by patent val for ed2?
|-
|-
!yama
! rowspan="2" | Name
!bean
! rowspan="2" | Prime-count vector
!Blumeyer
! rowspan="2" | Ratio
!frouggie
! rowspan="2" | Cents
!pollar
! colspan="5" | As composition of other commas
!13
! colspan="10" | Tempered by patent val for ed2?
!24
!33
!37
!57
!70
!80
!113
!124
!137
|-
|-
|Blumeyer
! yama
|{{vector| 7 0 0 0 -1 -1 -1 1 }}
! bean
|2432 / 2431
! Blumeyer
|0.7120024978
! frouggie
|
! pollar
|
! 13
|1
! 24
|
! 33
|
! 37
|✓
! 57
|✓
! 70
|✓
! 80
|✓
! 113
|✓
! 124
|✓
! 137
|✓
|✓
|✓
|✓
|-
|-
|yama
| Blumeyer
|{{vector| -4 0 0 0 1 -1 0 1 }}
| {{vector| 7 0 0 0 -1 -1 -1 1 }}
|209 / 208
| 2432 / 2431
|8.303296728
| 0.7120024978
|1
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|-
|Blume
| yama
|{{vector| -11 0 0 0 2 0 1 0 }}
| {{vector| -4 0 0 0 1 -1 0 1 }}
|2057 / 2048
| 209 / 208
|7.59129423
| 8.303296728
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| {{vector| -11 0 0 0 2 0 1 0 }}
|2888 / 2873
| 2057 / 2048
|9.015299226
| 7.59129423
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|eye
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|{{vector| 3 0 0 0 -2 0 2 -1 }}
| {{vector| 3 0 0 0 0 -2 -1 2 }}
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|9.761918139
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|-
|lum
| eye
|{{vector| -1 0 0 0 -1 -1 2 0 }}
| {{vector| 3 0 0 0 -2 0 2 -1 }}
|289 / 286
| 2312 / 2299
|18.06521487
| 9.761918139
|2
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|ume
| lum
|{{vector| -8 0 0 0 0 0 3 -1 }}
| {{vector| -1 0 0 0 -1 -1 2 0 }}
|4913 / 4864
| 289 / 286
|17.35321237
| 18.06521487
|2
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|mey
| ume
|{{vector| -7 0 0 0 0 3 -1 0 }}
| {{vector| -8 0 0 0 0 0 3 -1 }}
|2197 / 2176
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|16.62757581
| 17.35321237
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|{{vector| -5 0 0 0 0 -2 2 1 }}
| {{vector| -7 0 0 0 0 3 -1 0 }}
|5491 / 5408
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|26.36851159
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| {{vector| -5 0 0 0 0 -2 2 1 }}
|361 / 352
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|43.7080899
| 26.36851159
|5
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|247 / 242
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|35.40479317
| 43.7080899
|4
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|{{vector| 6 0 0 0 -1 -4 3 0 }}
| {{vector| -1 0 0 0 -2 1 0 1 }}
|314432 / 314171
| 247 / 242
|1.437639059
| 35.40479317
|
| 4
|1
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| -2
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| ✓
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|{{vector| 14 0 0 0 -4 0 1 -1 }}
| {{vector| 6 0 0 0 -1 -4 3 0 }}
|278528 / 278179
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|2.170623909
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|{{vector| 4 0 0 0 -2 3 -2 0 }}
| {{vector| 14 0 0 0 -4 0 1 -1 }}
|35152 / 34969
| 278528 / 278179
|9.036281578
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|{{vector| 10 0 0 0 -3 -1 1 0 }}
| {{vector| 4 0 0 0 -2 3 -2 0 }}
|17408 / 17303
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|10.47392064
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|{{vector| 0 0 0 0 -1 2 -2 1 }}
| {{vector| 10 0 0 0 -3 -1 1 0 }}
|3211 / 3179
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|17.33957831
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|{{vector| -4 0 0 0 0 1 -2 2 }}
| {{vector| 6 0 0 0 -2 -2 1 1 }}
|4693 / 4624
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|25.64287503
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|1352 / 1331
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|27.10149644
| 25.64287503
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|2873 / 2816
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|{{vector| 14 0 0 0 2 0 -2 -3 }}
| {{vector| -8 0 0 0 -1 2 1 0 }}
|1982464 / 1982251
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|{{vector| 13 0 0 0 1 -1 0 -3 }}
| {{vector| 14 0 0 0 2 0 -2 -3 }}
|90112 / 89167
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|{{vector| 7 0 0 0 -3 1 2 -2 }}
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|480896 / 480491
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|1.458621411
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|{{vector| 21 0 0 0 -5 -1 0 0 }}
| {{vector| 7 0 0 0 -3 1 2 -2 }}
|2097152 / 2093663
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|2.882626407
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|{{vector| -3 0 0 0 -1 4 -1 -1 }}
| {{vector| 21 0 0 0 -5 -1 0 0 }}
|28561 / 28424
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|8.32427908
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|{{vector| -11 0 0 0 1 2 -1 1 }}
| {{vector| -3 0 0 0 -1 4 -1 -1 }}
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|117128 / 116603
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|7.777311562
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|{{vector| -18 0 0 0 2 3 0 0 }}
| {{vector| 3 0 0 0 4 0 -1 -3 }}
|265837 / 262144
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|24.21887004
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|{{vector| 9 0 0 0 2 -2 0 -2 }}
| {{vector| -18 0 0 0 2 3 0 0 }}
|61952 / 61009
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|26.55452893
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| {{vector| 9 0 0 0 2 -2 0 -2 }}
|1362944 / 1356277
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|8.48931406
| 26.55452893
|1
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|{{vector| 21 0 0 0 1 -1 -3 -2 }}
| {{vector| 10 0 0 0 3 -1 -2 -2 }}
|23068672 / 23056709
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|0.8980198296
| 8.48931406
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|{{vector| -7 0 0 0 -3 -1 1 4 }}
| {{vector| 21 0 0 0 1 -1 -3 -2 }}
|2215457 / 2214784
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|0.525985166
| 0.8980198296
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|{{vector| -10 0 0 0 2 3 -3 1 }}
| {{vector| -7 0 0 0 -3 -1 1 4 }}
|5050903 / 5030912
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|6.865657669
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|{{vector| -3 0 0 0 1 2 -4 2 }}
| {{vector| -10 0 0 0 2 3 -3 1 }}
|671099 / 668168
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| {{vector| -3 0 0 0 1 2 -4 2 }}
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|34.85782565
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|36.11679567
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|{{vector| 1 0 0 0 -2 5 -1 -2 }}
| {{vector| 6 0 0 0 -3 0 -1 2 }}
|742586 / 742577
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|0.02098235203
| 36.11679567
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| pollar
|{{vector| 17 0 0 0 2 -2 -3 -1 }}
| {{vector| 1 0 0 0 -2 5 -1 -2 }}
|15859712 / 15775643
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|9.201316557
| 0.02098235203
|1
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|{{vector| 11 0 0 0 -3 2 -3 1 }}
| {{vector| 17 0 0 0 2 -2 -3 -1 }}
|6576128 / 6539203
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|9.748284075
| 9.201316557
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|{{vector| 24 0 0 0 -1 -1 -1 -3 }}
| {{vector| 11 0 0 0 -3 2 -3 1 }}
|16777216 / 16674229
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|10.65993797
| 9.748284075
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|}


==See also==
== See also ==
 
* [[Yer]], a hexadecatonic [[Just intonation|JI]] [[wikipedia:Euler–Fokker_genus|EFG]] in this subgroup
[[Yer]], a hexadecatonic [[Just intonation|JI]] [[wikipedia:Euler–Fokker_genus|EFG]] in this subgroup
* [[Gjaeck]], a [[Tridecatonic MOS|tridecatonic MOS]] of [[57edo|57ed2]] in this subgroup
 
* [[Hilim13]], a tridecatonic JI tuning in this subgroup
[[Gjaeck]], a [[Tridecatonic MOS|tridecatonic MOS]] of [[57edo|57ed2]] in this subgroup


[[Hilim13]], a tridecatonic JI tuning in this subgroup
[[Category:Just intonation subgroups|#]]
[[Category:Subgroup]]
[[Category:Rank-5 temperaments|#]]
[[Category:19-limit|#]]
Retrieved from "https://en.xen.wiki/w/2.11.13.17.19_subgroup"