Valentine extensions: Difference between revisions
Address semivalentine, hemivalentine, and demivalentine |
m FloraC moved page Valentine/Extensions to Valentine extensions over a redirect without leaving a redirect: Reversion for creating broken redirects with no clear gain |
||
| (3 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
{{Breadcrumb|Valentine}} | |||
[[Valentine]] has various competing [[extension]]s to the [[13-limit]]. The following temperaments are discussed in this article: | [[Valentine]] has various competing [[extension]]s to the [[13-limit]]. The following temperaments are discussed in this article: | ||
* '''Valentino''' (31 & 46) – tempering out 121/120, 126/125, 176/175, and 196/195; | * '''Valentino''' (31 & 46) – tempering out 121/120, 126/125, 176/175, and 196/195; | ||
| Line 7: | Line 9: | ||
Another path that relates a sense of compromise is to temper out [[169/168]], leading to [[semivalentine]]. This has the effect of slicing the period in two, and is supported by [[30edo|30]], [[46edo|46]], and [[62edo|62]]. Yet another possibility is given by [[hemivalentine]], with the effect of slicing the generator of 21/20~25/24 into two [[40/39]]'s. Finally, tempering out [[676/675]] leads to [[demivalentine]], with the effect of slicing the generator of 21/10~25/12 (one octave above 21/20~25/24) into two [[13/9]]'s, and is supported by 62 and 77. | Another path that relates a sense of compromise is to temper out [[169/168]], leading to [[semivalentine]]. This has the effect of slicing the period in two, and is supported by [[30edo|30]], [[46edo|46]], and [[62edo|62]]. Yet another possibility is given by [[hemivalentine]], with the effect of slicing the generator of 21/20~25/24 into two [[40/39]]'s. Finally, tempering out [[676/675]] leads to [[demivalentine]], with the effect of slicing the generator of 21/10~25/12 (one octave above 21/20~25/24) into two [[13/9]]'s, and is supported by 62 and 77. | ||
See [[Gamelismic clan #Valentino]], [[Gamelismic clan #Lupercalia|#Lupercalia]], and [[Gamelismic clan #Dwynwen|#Dwynwen]] for technical data. | |||
== Interval chain == | == Interval chain == | ||
| Line 253: | Line 257: | ||
[[Category:Valentine]] | [[Category:Valentine]] | ||
[[Category:Temperament extensions]] | [[Category:Temperament extensions]] | ||
[[Category:Rank-2 temperaments]] | |||