Star and Nova: Difference between revisions

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=== Notes of Star ===

By tempering out 126/125, leading to [[Starling_family#~~x7-limit 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#~~x7-limit starling-11-limit~~|~~11-limit starling~~]], the 11/8 interval also. There is no significant tuning advantage to 11-limit starling, a planar temperament, over the linear temperament [[~~Starling_temperaments~~#Valentine ~~temperament-11-limit~~|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.

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.

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== Music ==

[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/star_1-GrimaldiA+Bmod.mp3 Star 1-GrimaldiA+Bmod~~] by [[Joel_Grant_Taylor|Joel Grant Taylor]~~]

=== [[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'']

~~both by [[Chris_Vaisvil|Chris Vaisvil]]~~ [[Category:~~listen~~]]

[[Category:Listen]]

[[Category:nova]]

[[Category:Lists of scales]]

[[Category:star]]

@@ Line 6: / Line 6: @@
 === Notes of Star ===
-By tempering out 126/125, leading to [[Starling_family#x7-limit 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#x7-limit starling-11-limit|11-limit starling]], the 11/8 interval also. There is no significant tuning advantage to 11-limit starling, a planar temperament, over the linear temperament [[Starling_temperaments#Valentine temperament-11-limit|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.
+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.
@@ Line 33: / Line 33: @@
 == Music ==
-[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/star_1-GrimaldiA+Bmod.mp3 Star 1-GrimaldiA+Bmod] by [[Joel_Grant_Taylor|Joel Grant Taylor]]
+=== [[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'']
-both by [[Chris_Vaisvil|Chris Vaisvil]]      [[Category:listen]]
+[[Category:Listen]]
 [[Category:nova]]
 [[Category:Lists of scales]]
 [[Category:star]]