Sirius: Difference between revisions

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=<span style="font-size: 1.4em;">~~EDTs~~ compatible with the Sirius triskaidecatonic scale</span>=

=<span style="font-size: 1.4em;">[[EDT]]s compatible with the Sirius triskaidecatonic scale</span>=

The Sirius MOS families of 6L+7s and 6L+7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 pentad, and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" diatonic scale. Below is a list of the equal-temperaments which contain a 6L+1s scale using ~~generators~~ between 271.7 cents and 317.0 cents.

The Sirius [[MOS]] families of [[6L 7s|6L+7s]] and 6L+7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 [[pentad]], and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" [[diatonic scale]]. Below is a list of the equal-temperaments which contain a [[6L 1s|6L+1s]] scale using [[generator]]s between 271.7 [[cents]] and 317.0 cents.

L=1 s=0 6 and 7 edt

L=1 s=0 [[6edt|6]] and [[7edt|7]] edt

L=1 s=1 13 edt

L=1 s=1 [[13edt|13 edt]]

L=2 s=1 19 (~12edo) and 20

L=2 s=1 [[19edt|19]] (~[[12edo]]) and [[20edt|20]]

L=3 s=1 25 and 27 (~17edo)

L=3 s=1 [[25edt|25]] and [[27edt|27]] (~[[17edo]])

L=3 s=2 32 and 33 (~21edo)

L=3 s=2 [[32edt|32]] and [[33edt|33]] (~[[21edo]])

L=4 s=1 31 and 34

L=4 s=1 [[31edt|31]] and [[34edt|34]]

L=4 s=3 45 and 46 (~29edo)

L=4 s=3 [[45edt|45]] and [[46edt|46]] (~[[29edo]])

L=5 s=1 37 and 41

L=5 s=1 [[37edt|37]] and [[41edt|41]]

L=5 s=2 44 and 47

L=5 s=2 [[44edt|44]] and [[47edt|47]]

L=5 s=3 51 (~32edo) and 53

L=5 s=3 [[51edt|51]] (~[[32edo]]) and [[53edt|53]]

L=5 s=4 58 and 59 (~37edo)

L=5 s=4 [[58edt|58]] and [[59edt|59]] (~[[37edo]])

L=6 s=1 43 (~27edo) and 48

L=6 s=1 [[43edt|43]] (~[[27edo]]) and [[48edt|48]]

L=6 s=5 71 and 72

L=6 s=5 [[71edt|71]] and [[72edt|72]]

L=7 s=1 49 (~31edo) and 55

L=7 s=1 [[49edt|49]] (~[[31edo]]) and [[55edt|55]]

L=7 s=2 56 and 61

L=7 s=2 [[56edt|56]] and [[61edt|61]]

L=7 s=3 63 (~40edo) and 67 (~42edo)

L=7 s=3 [[63edt|63]] (~[[40edo]]) and [[67edt|67]] (~[[42edo]])

L=7 s=4 64 and 68 (~43edo)

L=7 s=4 [[64edt|64]] and [[68edt|68]] (~[[43edo]])

L=7 s=5 77 and 79 (~50edo)

L=7 s=5 [[77edt|77]] and [[79edt|79]] (~[[50edo]])

L=7 s=6 84 (~53edo) and 85

L=7 s=6 [[84edt|84]] (~[[53edo]]) and [[85edt|85]]

[For what it's worth, as 6edt and 7edt are comparable to 5edo and 7edo, then the "counterparts" of Blackwood and Whitewood would be found in multiples therein and would be dodecatonic and tetradecatonic, eg. 18edt and 21edt.]

[For what it's worth, as [[6edt]] and [[7edt]] are comparable to [[5edo]] and [[7edo]], then the "counterparts" of [[Blackwood]] and [[Whitewood]] would be found in multiples therein and would be [[Category:12-tone scales|dodecatonic]] and [[Category:14-tone scales|tetradecatonic]], eg. [[18edt]] and [[21edt]].]

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-=<span style="font-size: 1.4em;">EDTs compatible with the Sirius triskaidecatonic scale</span>=
+=<span style="font-size: 1.4em;">[[EDT]]s compatible with the Sirius triskaidecatonic scale</span>=
-The Sirius MOS families of 6L+7s and 6L+7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 pentad, and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" diatonic scale. Below is a list of the equal-temperaments which contain a 6L+1s scale using generators between 271.7 cents and 317.0 cents.
+The Sirius [[MOS]] families of [[6L 7s|6L+7s]] and 6L+7s are good scales to know for representing "ordinary" diminished chords with stack of their generators. In fact, 0-1-2-3-4 generators is an "ordinary" dim7dim9 [[pentad]], and by a weird coincidence, numbered 1-3-5-7-9 just as if arranged in an "ordinary" [[diatonic scale]]. Below is a list of the equal-temperaments which contain a [[6L 1s|6L+1s]] scale using [[generator]]s between 271.7 [[cents]] and 317.0 cents.
-L=1 s=0 6 and 7 edt
+L=1 s=0 [[6edt|6]] and [[7edt|7]] edt
-L=1 s=1 13 edt
+L=1 s=1 [[13edt|13 edt]]
-L=2 s=1 19 (~12edo) and 20
+L=2 s=1 [[19edt|19]] (~[[12edo]]) and [[20edt|20]]
-L=3 s=1 25 and 27 (~17edo)
+L=3 s=1 [[25edt|25]] and [[27edt|27]] (~[[17edo]])
-L=3 s=2 32 and 33 (~21edo)
+L=3 s=2 [[32edt|32]] and [[33edt|33]] (~[[21edo]])
-L=4 s=1 31 and 34
+L=4 s=1 [[31edt|31]] and [[34edt|34]]
-L=4 s=3 45 and 46 (~29edo)
+L=4 s=3 [[45edt|45]] and [[46edt|46]] (~[[29edo]])
-L=5 s=1 37 and 41
+L=5 s=1 [[37edt|37]] and [[41edt|41]]
-L=5 s=2 44 and 47
+L=5 s=2 [[44edt|44]] and [[47edt|47]]
-L=5 s=3 51 (~32edo) and 53
+L=5 s=3 [[51edt|51]] (~[[32edo]]) and [[53edt|53]]
-L=5 s=4 58 and 59 (~37edo)
+L=5 s=4 [[58edt|58]] and [[59edt|59]] (~[[37edo]])
-L=6 s=1 43 (~27edo) and 48
+L=6 s=1 [[43edt|43]] (~[[27edo]]) and [[48edt|48]]
-L=6 s=5 71 and 72
+L=6 s=5 [[71edt|71]] and [[72edt|72]]
-L=7 s=1 49 (~31edo) and 55
+L=7 s=1 [[49edt|49]] (~[[31edo]]) and [[55edt|55]]
-L=7 s=2 56 and 61
+L=7 s=2 [[56edt|56]] and [[61edt|61]]
-L=7 s=3 63 (~40edo) and 67 (~42edo)
+L=7 s=3 [[63edt|63]] (~[[40edo]]) and [[67edt|67]] (~[[42edo]])
-L=7 s=4 64 and 68 (~43edo)
+L=7 s=4 [[64edt|64]] and [[68edt|68]] (~[[43edo]])
-L=7 s=5 77 and 79 (~50edo)
+L=7 s=5 [[77edt|77]] and [[79edt|79]] (~[[50edo]])
-L=7 s=6 84 (~53edo) and 85
+L=7 s=6 [[84edt|84]] (~[[53edo]]) and [[85edt|85]]
-[For what it's worth, as 6edt and 7edt are comparable to 5edo and 7edo, then the "counterparts" of Blackwood and Whitewood would be found in multiples therein and would be dodecatonic and tetradecatonic, eg. 18edt and 21edt.]
+[For what it's worth, as [[6edt]] and [[7edt]] are comparable to [[5edo]] and [[7edo]], then the "counterparts" of [[Blackwood]] and [[Whitewood]] would be found in multiples therein and would be [[Category:12-tone scales|dodecatonic]] and [[Category:14-tone scales|tetradecatonic]], eg. [[18edt]] and [[21edt]].]
 {| class="wikitable" style="text-align:center;"