The Archipelago: Difference between revisions
m Text replacement - "{{Mapping|legend=2| " to "{{Mapping|legend=3| " |
CompactStar (talk | contribs) |
||
| Line 165: | Line 165: | ||
{{See also| Chromatic pairs #Tobago }} | {{See also| Chromatic pairs #Tobago }} | ||
Tobago uses the semioctave period. It can be described as the 10 & 14 temperament and is related to [[neutral]] and [[barbados]]. | Tobago uses the semioctave period. It can be described as the 10 & 14 temperament and is related to [[neutral]] and [[barbados]]. It is related to [[hemipyth]]. | ||
[[Subgroup]]: 2.3.11.13/5 | [[Subgroup]]: 2.3.11.13/5 | ||
| Line 198: | Line 198: | ||
<nowiki>*</nowiki> wart for 13/5 | <nowiki>*</nowiki> wart for 13/5 | ||
==== Crete ==== | |||
Crete is a strong extension of Barbados tempering out [[64/63]], thus mapping [[7/4]] to a stack of 4 semifourths, and favoring a flat semifourth near 1 step of [[5edo]]. It is a weak extension of [[archy]]. This is a somewhat peculiar temperament as most archy systems do not have interseptimals or equate them with septimal intervals as in [[oceanfront]], but crete can be used in [[34d-edo]], [[39edo|39d-edo]], [[44edo]] and [[49edo]] (with 34d and 39d being often considered better than 34edo and 39edo's [[semaphore]] patent vals). It was discovered and named by {{u|CompactStar}} in 2026. Since it is the combination of [[Archy]] (which is named after an Ancient Greek music theorist) and island, Crete is named after a Greek island. | |||
[[Subgroup]]: 2.3.7.13/5 | |||
[[Comma list]]: 64/63 = {{monzo| 6 -2 -1 0 }}, 676/675 = {{monzo| 2 -3 0 2 }} | |||
[[Sval]] [[mapping]]: [{{val| 1 0 6 -1 }}, {{val| 0 2 -4 3 }}] | |||
<nowiki>*</nowiki> Mapping generators: ~2, ~26/15 | |||
[[Optimal tuning]] ([[CWE]]): ~2 = 1\1, ~26/15 = 954.438 | |||
{{Optimal ET sequence|legend=1|TBA}} | |||
[[Badness]] (Sintel): 0.457 | |||
=== Cata === | === Cata === | ||