User:BudjarnLambeth/Batch 89 temperaments: Difference between revisions

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 * ''[https://www.youtube.com/watch?v=_NepcrTf9ng The Wound]'' - [[Budjarn Lambeth]] (Nov 2024)
-[[Category:17-tone scales]]
+== Bonus scales: the Batch 89 JI scales ==
-[[Category:19-tone scales]]
+These [[just intonation|just intonation scales]] were documented in honour of the members of Batch 89, as depicted in the 2023 film ''Guardians of the Galaxy Vol. 3''. The scales were first documented in 2026.
-[[Category:89-limit]]
-[[Category:Subgroup temperaments]]
+=== Otonal Batch 89 scale ===
-[[Category:Temperament collections]]
+The scale degrees were selected by:
-[[Category:Listen]]
+# ''converting each of the letters of Floor's name to a number using the A1Z26 cypher''
+# ''then summing the numbers together to get one scale degree''
+# ''then repeating this process but for Teefs, Lylla and Rocket to get three more scale degrees''
+# ''then adding the octave, so that identical copies of the scale are infinitely reflected up and down the pitch spectrum, reflecting that these characters will be together forever''
+# ''then using {{w|negative harmony}} to change the scale from utonal to otonal, to reflect how the characters found wonder even in a dark situation and used it to make the galaxy a brighter place''
+This results in the following scale:
+* 110/89
+* 124/89
+* 132/89
+* 144/89
+* 178/89
+Which is a subset of [[89afdo]] (''see [[afdo]]'').
+==== Edo approximations ====
+Edos with nice-sounding approximations of this scale include:
+* [[14edo]]: 4 3 1 2 4
+* [[17edo]]: 5 3 2 2 5
+* [[20edo]]: 6 4 1 3 6
+* [[21edo]]: 6 4 2 3 6
+* [[23edo]]: 7 4 2 3 7 ''(closest to JI until 65edo)''
+* [[24edo]]: 7 4 3 3 7
+* [[26edo]]: 8 4 1 3 8
+* [[27edo]]: 8 5 2 4 8
+* [[30edo]]: 9 5 3 4 9
+* [[31edo]]: 9 6 3 4 9
+* [[34edo]]: 10 6 3 5 10
+* [[37edo]]: 11 7 3 5 11
+* [[40edo]]: 12 7 4 5 12
+* [[44edo]]: 13 8 4 6 13
+* [[46edo]]: 14 8 4 6 14
+* [[53edo]]: 16 9 5 7 16
+* [[60edo]]: 18 9 5 8 18
+* [[65edo]]: 20 11 6 8 20
+(Tested by ear in [[Scale Workshop]] by [[Budjarn Lambeth]].)
+=== Nonoctave Batch 89 scale ===
+The scale degrees were selected by:
+# ''converting the first letter Floor's name to a number using the A1Z26 cypher''
+# ''then repeating this process but for Teefs, Lylla and Rocket to get three more numbers''
+# ''at this stage we now have the numbers 6, 12, 18 and 20''
+# ''now we list every JI ratio that is a combination of these two numbers, e.g. 12/6, 20/12, etc.''
+# ''then we sort these in order from the smallest interval to the largest, using the largest as the scale [[period]]''
+This results in the following scale:
+* 20/18
+* 18/12
+* 20/12
+* 12/6
+* 18/6
+* 20/6