Garischismic clan: Difference between revisions
- "gary comma" (temp name + comma conventionally refers to the comma tempered out in the temp). Stop semantic inflation (good means good). Fix typos |
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==== Subgroup extensions ==== | ==== Subgroup extensions ==== | ||
Gary can be naturally extended into the no-5's 11-limit with good accuracy by equating (64/63)<sup>2</sup> with 33/32 | Gary can be naturally extended into the no-5's 11-limit with good accuracy by equating (64/63)<sup>2</sup> with 33/32 at the cost of doubling the complexity, acting as a temperament of [[olympic clan #Olympian|olympian]] which accurately represents the entire 2.3.7.11 into the chain of fifths. The major third additionally is extremely close to [[19/15]], and is a natural interpretation in extensions with 5 and 19. | ||
=== 2.3.7.11 subgroup === | === 2.3.7.11 subgroup === | ||
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Optimal tunings: | Optimal tunings: | ||
* WE: ~2 = 1199.9631{{c}}, ~3/2 = 702.2077{{c}} | * WE: ~2 = 1199.9631{{c}}, ~3/2 = 702.2077{{c}} | ||
: error map: {{val| -0.037 0.216 -0.139 -0.173 }} | |||
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.2290{{c}} | * CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.2290{{c}} | ||
: error map: {{val| -0.000 0.274 -0.032 -0.051 }} | |||
{{Optimal ET sequence|legend=0| 12e, 41, 94, 135, 716, 851, 986, 1121, 1256 }} | {{Optimal ET sequence|legend=0| 12e, 41, 94, 135, 716, 851, 986, 1121, 1256 }} | ||