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;..."
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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 to the [[11-limit|11-]] and [[13-limit]]. The following temperaments are discussed in this article:  
[[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.  


The most important of these is tridecimal godzilla, where primes 11 and 13 are mapped such that 10/9 and 11/10 are tempered together and that 7/6, 8/7, 13/11, and 15/13 are tempered together. Semafour takes the same mapping of 13 as godzilla, but swaps in a less complex and less accurate mapping for 11, so that 4/3 and 11/8 are tempered together. Similarly, varan takes the same mapping of 13 as godzilla, but swaps in a more complex mapping for 11, so that 6/5 and 13/11 are tempered together. Finally, baragon swaps in a less complex mapping for prime 11, so that 7/5 and 11/8 are tempered together.  
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 ==