User:BudjarnLambeth/Batch 89 temperaments: Difference between revisions

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-{{novelty}}
+{{Technical data page}}<br><br>
-These temperaments were documented in honour of the members of Batch 89, as depicted in ''Guardians of the Galaxy Vol. 3'' (2023).
+{{Editable user page|Feel free to add examples of music made with these temperaments, and feel free to add any new scales, approaches or other concepts you develop based on these ideas.}}
+These temperaments were documented in honour of the members of Batch 89, as depicted in the 2023 film ''Guardians of the Galaxy Vol. 3''. The temperaments were first documented in 2023.
 == Methodology ==
@@ Line 105: / Line 108: @@
 Unison Vectors
-* [-3, 1, -1, 1⟩ (89:88 - [[89/88|Sky comma]])
+* [-3, 1, -1, 1⟩ (89:88 - [[89/88|Tailwind comma]])
 * [0, -5, 0, 2⟩ (7921:7776 - [[7921/7776|Attic comma]])
 * [3, -6, 1, 1⟩ (979:972 - [[979/972|Basement comma]])
@@ Line 201: / Line 204: @@
 Unison Vectors
-* [-3, 0, -1, 1⟩ (89:88) - ([[89/88|Sky comma]])
+* [-3, 0, -1, 1⟩ (89:88) - ([[89/88|Tailwind comma]])
 * [-1, 5, -2, 0⟩ (243:242) - ([[243/242|Rastma]])
 * [-2, -5, 1, 1⟩ (979:972) - ([[979/972|Basement comma]])
@@ Line 232: / Line 235: @@
-Cosmic
+Cosmic (approximated from [[32afdo]])
 * 498.382
 * 702.129
@@ Line 240: / Line 243: @@
-Major
+Major (approximated from [[12edo]])
 (rotate to get its modes e.g. minor)
@@ Line 263: / Line 266: @@
 === Music ===
-* ''[https://youtu.be/YHbBJOHdD_E Improvisation in Floor(17) in Scale Workshop]'' by [[Budjarn Lambeth]]
+* ''[https://www.youtube.com/watch?v=YHbBJOHdD_E Improvisation in Floor(17) in Scale Workshop]'' by [[Budjarn Lambeth]] (Jun 2023)
@@ Line 356: / Line 359: @@
 Unison Vectors
-* [-5, 1, -1, 1⟩ (89:88 - [[89/88|Sky comma]])
+* [-5, 1, -1, 1⟩ (89:88 - [[89/88|Tailwind comma]])
 * [0, 3, 0, -2⟩ (8000:7921 - [[8000/7921|Incisor comma]])
 * [-5, 4, -1, -1⟩ (1000:979 - [[1000/979|Canine comma]])
@@ Line 452: / Line 455: @@
 Unison Vectors
-* [-3, 0, -1, 1⟩ (89:88) - ([[89/88|Sky comma]])
+* [-3, 0, -1, 1⟩ (89:88) - ([[89/88|Tailwind comma]])
 * [0, 3, -2, 0⟩ (125:121) - ([[125/121|Jug comma]])
 * [3, 3, -1, -1⟩ (1000:979) - ([[1000/979|Canine comma]])
@@ Line 485: / Line 488: @@
-Cosmic
+Cosmic (approximated from [[32afdo]])
 * 494.730
 * 705.564
@@ Line 493: / Line 496: @@
-Major
+Major (approximated from [[12edo]])
 (rotate to get its modes e.g. minor)
@@ Line 505: / Line 508: @@
-Minor Hexatonic
+Minor Hexatonic (approximated from [[12edo]])
 * 188.336
 * 306.394
@@ Line 610: / Line 613: @@
 * [7, 0, 1, -2⟩ (7936:7921 - [[7936/7921|Lily comma]])
 * [-9, 1, 2, -1⟩ (2883:2848 - [[2883/2848|Lilac comma]])
-* [-16, 1, 1, 1⟩ (8277:8192 - [[8277/8192|Lime comma]])
+* [-16, 1, 1, 1⟩ (8277:8192 - [[8277/8192|Lilly pilly comma]])
 * [-2, 1, 3, -3⟩ (714984:704969 - [[714984/704969|Lightyear comma]])
@@ Line 706: / Line 709: @@
 * [-5, 1, 2, -1⟩ (2883:2848) - ([[2883/2848|Lilac comma]])
 * [8, 0, 1, -2⟩ (7936:7921) - ([[7936/7921|Lily comma]])
-* [-13, 1, 1, 1⟩ (8277:8192) - ([[8277/8192|Lime comma]])
+* [-13, 1, 1, 1⟩ (8277:8192) - ([[8277/8192|Lilly pilly comma]])
 * [-18, 2, 3, 0⟩ (268119:262144) - ([[268119/262144|Lutra comma]])
@@ Line 737: / Line 740: @@
-Cosmic
+Cosmic (approximated from [[32afdo]])
 * 502.506
 * 698.347
@@ Line 745: / Line 748: @@
-Minor Hexatonic
+Minor Hexatonic (approximated from [[12edo]])
 * 195.842
 * 306.664
@@ Line 755: / Line 758: @@
 === Music ===
-* ''[https://youtu.be/kcXcSIWOWaI Improvisation in Lylla(19) in Scale Workshop]'' by [[Budjarn Lambeth]]
+* ''[https://www.youtube.com/watch?v=kcXcSIWOWaI Improvisation in Lylla(19) in Scale Workshop]'' by [[Budjarn Lambeth]] (Jun 2023)
@@ Line 764: / Line 767: @@
 Normalised subgroup bases: '''2.9+.9-.89''' (contains a dual harmonic 9)
-Related temperaments: [[Lu]]
+Related temperaments: [[Lu]], [[Deutone]]
@@ Line 883: / Line 886: @@
 === Temperament data (normalised bases) ===
-{{todo|expand|inline=yes|comment=Fill out this section}}
+{{todo|complete list|inline=yes|comment=Fill out this section}}
 === Example MOS scale: Rocket[19] ===
@@ Line 913: / Line 915: @@
-Cosmic
+Cosmic (approximated from [[32afdo]])
 * 509.908
 * 691.541
@@ Line 921: / Line 923: @@
-Minor Hexatonic
+Minor Hexatonic (approximated from [[12edo]])
 * 190.151
 * 319.757
@@ Line 931: / Line 933: @@
 === Music ===
+* ''[https://www.youtube.com/watch?v=_NepcrTf9ng The Wound]'' - [[Budjarn Lambeth]] (Nov 2024)
+== Bonus scales: the Batch 89 JI 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.
+=== Otonal Batch 89 scale ===
+The scale degrees were selected by:
+# ''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]]''
-[[Category:17-tone scales]]
+This results in the following scale:
-[[Category:19-tone scales]]
+* 20/18
-[[Category:89-limit]]
+* 18/12
-[[Category:Listen]]
+* 20/12
-[[Category:MOS scales]]
+* 12/6
-[[Category:Subgroup temperaments]]
+* 18/6
-[[Category:Temperament collections]]
+* 20/6

User:BudjarnLambeth/Batch 89 temperaments: Difference between revisions

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