Star and Nova: Difference between revisions
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== Star == | == Star == | ||
=== Star transversal === | === Star transversal === | ||
Star is an eight-note tempered scale, with something of the sound of the [[Octatonic_scale|octatonic scale]]; however it is less regular and closer to just intonation. Star can be reached from various starting points, one of which is a 5-limit [[Fokker_blocks|Fokker block]] which serves as a [[Transversal|transversal]] for Star. The block in question is [[smithgw_star|smithgw_star]], 25/24-6/5-5/4-36/25-3/2-5/3-9/5-2/1, which consists of a chain of minor thirds 5/3-1-6/5-36/25 and that chain translated by 5/4, and which has three major and three minor triads. | Star is an eight-note tempered scale, with something of the sound of the [[Octatonic_scale|octatonic scale]]; however it is less regular and closer to just intonation. Star can be reached from various starting points, one of which is a 5-limit [[Fokker_blocks|Fokker block]] which serves as a [[Transversal|transversal]] for Star. The block in question is [[smithgw_star|smithgw_star]], 25/24-6/5-5/4-36/25-3/2-5/3-9/5-2/1, which consists of a chain of minor thirds 5/3-1-6/5-36/25 and that chain translated by 5/4, and which has three major and three minor triads. | ||
=== Notes of Star === | === Notes of Star === | ||
By tempering out 126/125, leading to [[Starling_family# | By tempering out 126/125, leading to [[Starling_family#Starling|7-limit starling temperament]] we add the 7-limit intervals 8/7, 7/6, 7/5 and their inversions to the mix, and by tempering by 385/384 also, leading to [[Starling_family#Starnova|starnova]] (formerly known as ''undecimal starling''), the 11/8 interval also. There is no significant tuning advantage to 11-limit starling, a planar temperament, over the linear temperament [[Gamelismic clan#Valentine|valentine]], so we may consider Star to be a scale of valentine. In valentine, with generator a tempered 21/20 of 78 cents, the notes of Star are -4, 0, 1, 4, 5, 8, 9 and 13 generators; in the ordering of the scale itself, that's 0, 1, 4, 5, 8, 9, -4, 13. | ||
Since there are a finite number of 11-limit 8-note [[Lesfip_scales|lesfip scales]], we may consider the [[star-lesfip|lesfip version of Star]], star-lesfip, to be canonical. It can be reached from a variety of starting points. Lesfiping the 5-limit transversal in the range 14 to 17 cents of tolerance leads to Star; so does lesfiping the 46et version in the range from 9 to 17 cents or the 77et version in the range 6 to 16 cents. Another tuning for Star, not very different, is [[star|Star in 77et]]; 77 giving the optimal patent val for both 11-limit starling and valentine. | Since there are a finite number of 11-limit 8-note [[Lesfip_scales|lesfip scales]], we may consider the [[star-lesfip|lesfip version of Star]], star-lesfip, to be canonical. It can be reached from a variety of starting points. Lesfiping the 5-limit transversal in the range 14 to 17 cents of tolerance leads to Star; so does lesfiping the 46et version in the range from 9 to 17 cents or the 77et version in the range 6 to 16 cents. Another tuning for Star, not very different, is [[star|Star in 77et]]; 77 giving the optimal patent val for both 11-limit starling and valentine. | ||
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== Music == | == Music == | ||
[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/star_1-GrimaldiA+Bmod.mp3 Star 1-GrimaldiA+Bmod | === [[Joel Grant Taylor]] === | ||
* [https://web.archive.org/web/20201127015546/http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/star_1-GrimaldiA+Bmod.mp3 ''Star 1-GrimaldiA+Bmod''] | |||
[http://micro.soonlabel.com/star/20120830-77et-star.mp3 77et Star] | === [[Chris Vaisvil]]=== | ||
* [https://web.archive.org/web/20201127015309/http://micro.soonlabel.com/star/20120830-77et-star.mp3 ''77et Star''] | |||
[http://micro.soonlabel.com/star/20120830_lesfip-star-11-limit.mp3 Lesfip Star] | * [https://web.archive.org/web/20201127012530/http://micro.soonlabel.com/star/20120830_lesfip-star-11-limit.mp3 ''Lesfip Star''] | ||
[[Category:Listen]] | |||
[[Category:nova]] | [[Category:nova]] | ||
[[Category:Lists of scales]] | [[Category:Lists of scales]] | ||
[[Category:star]] | [[Category:star]] | ||