Godzilla extensions: Difference between revisions
Created page with "{{Breadcrumb|Semaphore and godzilla}} Godzilla has various competing extensions to the 11- and 13-limit. The following temperaments are discussed in this article: * '''Tridecimal godzilla''' ({{nowrap| 14cf & 19 }}) – tempering out 45/44, 49/48, 78/77, and 81/80; * '''Semafour''' ({{nowrap| 14cf & 19e }}) – tempering out 33/32, 49/48, 55/54, and 91/90; * '''Varan''' ({{nowrap| 19e & 24 }}) – tempering out 49/48, 66/65, 77/75, and 81/80;..." Tags: Mobile edit Mobile web edit |
Complete interval table |
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{{Breadcrumb|Semaphore and godzilla}} | {{Breadcrumb|Semaphore and godzilla}} | ||
[[Godzilla]] has various competing [[extension]]s | [[Godzilla]] has various competing [[extension]]s for [[prime interval|prime]] [[11/1|11]]. The following temperaments are discussed in this article: | ||
* '''Tridecimal godzilla''' ({{nowrap| 14cf & 19 }}) – tempering out 45/44, 49/48, 78/77, and 81/80; | * '''Tridecimal godzilla''' ({{nowrap| 14cf & 19 }}) – tempering out 45/44, 49/48, 78/77, and 81/80; | ||
* '''Semafour''' ({{nowrap| 14cf & 19e }}) – tempering out 33/32, 49/48, 55/54, and 91/90; | * '''Semafour''' ({{nowrap| 14cf & 19e }}) – tempering out 33/32, 49/48, 55/54, and 91/90; | ||
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* '''Baragon''' ({{nowrap| 19 & 24 }}) – tempering out 49/48, 56/55, 81/80, and 91/90. | * '''Baragon''' ({{nowrap| 19 & 24 }}) – tempering out 49/48, 56/55, 81/80, and 91/90. | ||
Tridecimal godzilla maps prime 11 such that [[10/9]] and [[11/10]] are tempered together and that [[13/11]] is tempered together with [[7/6]]~[[15/13]]~[[8/7]] semifourth cluster. Semafour swaps in a less complex and less accurate mapping for 11, so that [[4/3]] and [[11/8]] are tempered together. Similarly, varan tempers together 6/5 and 13/11. Finally, baragon swaps in a less complex mapping for prime 11, so that [[7/5]] and 11/8 are tempered together. | |||
== Interval chain == | == Interval chain == | ||
| Line 27: | Line 26: | ||
| 0 | | 0 | ||
| 0.0 | | 0.0 | ||
| 1/1 | | '''1/1''' | ||
| | | | ||
| | | | ||
| Line 35: | Line 34: | ||
| 1 | | 1 | ||
| 948.0 | | 948.0 | ||
| 7/4, 12/7, 26/15 | | '''7/4''', 12/7, 26/15 | ||
| 22/13 | | 22/13 | ||
| | | | ||
| Line 43: | Line 42: | ||
| 2 | | 2 | ||
| 696.0 | | 696.0 | ||
| 3/2 | | '''3/2''' | ||
| 22/15 | | 22/15 | ||
| 16/11 | | '''16/11''' | ||
| | | | ||
| | | | ||
| Line 59: | Line 58: | ||
| 4 | | 4 | ||
| 192.0 | | 192.0 | ||
| 9/8, 10/9 | | '''9/8''', 10/9 | ||
| 11/10 | | 11/10 | ||
| 12/11 | | 12/11 | ||
| Line 87: | Line 86: | ||
| | | | ||
| 22/15 | | 22/15 | ||
| 16/11 | | '''16/11''' | ||
|- | |- | ||
| 8 | | 8 | ||
| Line 115: | Line 114: | ||
| 11 | | 11 | ||
| 828.0 | | 828.0 | ||
| 13/8 | | '''13/8''' | ||
| 11/7 | | 11/7 | ||
| | | | ||
| Line 124: | Line 123: | ||
| 576.0 | | 576.0 | ||
| 25/18 | | 25/18 | ||
| 11/8 | | '''11/8''' | ||
| 15/11 | | 15/11 | ||
| | | | ||
| Line 131: | Line 130: | ||
| 13 | | 13 | ||
| 324.0 | | 324.0 | ||
| | | 39/32 | ||
| | | | ||
| 13/11 | | 13/11 | ||
| Line 139: | Line 138: | ||
| 14 | | 14 | ||
| 72.1 | | 72.1 | ||
| 25/24 | | 25/24, 50/49 | ||
| | | | ||
| | | | ||
| Line 163: | Line 162: | ||
| 17 | | 17 | ||
| 516.1 | | 516.1 | ||
| 65/49, 75/56 | |||
| | | | ||
| | | | ||
| | | '''11/8''' | ||
| 15/11 | | 15/11 | ||
|- | |- | ||
| 18 | | 18 | ||
| 264.1 | | 264.1 | ||
| 65/56, 75/64 | |||
| | |||
| | |||
| | |||
| 13/11 | |||
|- | |||
| 19 | |||
| 12.1 | |||
| 169/168, 225/224, 195/196 | |||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
|} | |} | ||
<nowiki/>* In 2.3.5.7.13-subgroup [[CWE tuning]] | <nowiki/>* In 2.3.5.7.13-subgroup [[CWE tuning]], octave reduced | ||
[[Category:Godzilla]] | [[Category:Godzilla]] | ||
[[Category:Temperament extensions]] | [[Category:Temperament extensions]] | ||