Godzilla extensions: Difference between revisions
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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 |
All these extensions have the same mapping for 13 |
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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 == | ||
Revision as of 07:38, 23 May 2026
Godzilla has various competing extensions for prime 11. The following temperaments are discussed in this article:
- Tridecimal godzilla (14cf & 19) – tempering out 45/44, 49/48, 78/77, and 81/80;
- Semafour (14cf & 19e) – tempering out 33/32, 49/48, 55/54, and 91/90;
- Varan (19e & 24) – tempering out 49/48, 66/65, 77/75, and 81/80;
- Baragon (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
| # | Cents* | Approximate ratios | ||||
|---|---|---|---|---|---|---|
| 2.3.5.7.13 subgroup | Full 13-limit extensions | |||||
| Godzilla | Semafour | Varan | Baragon | |||
| 0 | 0.0 | 1/1 | ||||
| 1 | 948.0 | 7/4, 12/7, 26/15 | 22/13 | |||
| 2 | 696.0 | 3/2 | 22/15 | 16/11 | ||
| 3 | 444.0 | 9/7, 13/10, 21/16 | 14/11 | |||
| 4 | 192.0 | 9/8, 10/9 | 11/10 | 12/11 | ||
| 5 | 1140.0 | 25/13, 27/14, 39/20, 40/21 | ||||
| 6 | 888.0 | 5/3 | 18/11 | 22/13 | ||
| 7 | 636.0 | 10/7, 13/9 | 22/15 | 16/11 | ||
| 8 | 384.0 | 5/4 | 11/9 | 14/11 | ||
| 9 | 132.0 | 13/12, 15/14 | 11/10 | 12/11 | ||
| 10 | 1080.0 | 13/7, 15/8 | 11/6 | 20/11 | ||
| 11 | 828.0 | 13/8 | 11/7 | 18/11 | ||
| 12 | 576.0 | 25/18 | 11/8 | 15/11 | ||
| 13 | 324.0 | 13/11 | 11/9 | |||
| 14 | 72.1 | 25/24 | ||||
| 15 | 1020.1 | 25/14 | 11/6 | 20/11 | ||
| 16 | 768.1 | 25/16 | 11/7 | |||
| 17 | 516.1 | 11/8 | 15/11 | |||
| 18 | 264.1 | 13/11 | ||||
* In 2.3.5.7.13-subgroup CWE tuning