Semaphoresmic family: Difference between revisions

m Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "
m Minor cleanup
Line 1: Line 1:
{{Technical data page}}
{{Technical data page}}
The '''semaphoresmic family''' of [[rank-3 temperament|rank-3]] [[regular temperament|temperaments]] [[tempering out|tempers out]] [[49/48]] in the full [[7-limit]], and thereby identifies the septimal minor third, [[7/6]], and the septimal whole tone, [[8/7]]. It also splits the fourth into two of these intervals; hence the name, which sounds like "semi-fourth". Related to this is the 2.3.7-subgroup {49/48} temperament [[Semaphoresmic clan #Semaphore|semaphore]], and the 7-limit {49/48, 81/80} temperament [[Semaphoresmic clan #Godzilla|godzilla]].
The '''semaphoresmic family''' of [[rank-3 temperament|rank-3]] [[regular temperament|temperaments]] [[tempering out|tempers out]] [[49/48]] in the full [[7-limit]], and thereby identifies the septimal minor third, [[7/6]], and the septimal whole tone, [[8/7]]. It also splits the fourth into two of these intervals; hence the name, which sounds like "semi-fourth". Related to this is the [[2.3.7 subgroup|2.3.7-subgroup]] {49/48} temperament [[semaphoresmic clan #Semaphore|semaphore]], and the 7-limit {49/48, 81/80} temperament [[semaphoresmic clan #Godzilla|godzilla]].


== Semaphoresmic a.k.a. semiphore ==
== Semaphoresmic a.k.a. semiphore ==
Line 8: Line 8:


{{Mapping|legend=1| 1 0 2 2 | 0 2 0 1 | 0 0 1 0 }}
{{Mapping|legend=1| 1 0 2 2 | 0 2 0 1 | 0 0 1 0 }}
: mapping generators: ~2, ~7/4, ~5
: mapping generators: ~2, ~7/4, ~5


Line 30: Line 29:
Comma list: 49/48, 91/90
Comma list: 49/48, 91/90


Sval mapping: {{mapping| 1 0 0 2 -1 | 0 2 0 1 3 | 0 0 1 0 1 }}
{{Mapping|legend=2| 1 0 0 2 -1 | 0 2 0 1 3 | 0 0 1 0 1 }}


Optimal tunings:  
Optimal tunings: