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User:BudjarnLambeth/Batch 89 temperaments: Difference between revisions

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{{Technical data page}}<br><br>
{{novelty}}
{{novelty}}
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 ==
== Methodology ==
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Unison Vectors
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]])
* [0, -5, 0, 2⟩ (7921:7776 - [[7921/7776|Attic comma]])
* [3, -6, 1, 1⟩ (979:972 - [[979/972|Basement comma]])
* [3, -6, 1, 1⟩ (979:972 - [[979/972|Basement comma]])
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Unison Vectors
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]])
* [-1, 5, -2, 0⟩ (243:242) - ([[243/242|Rastma]])
* [-2, -5, 1, 1⟩ (979:972) - ([[979/972|Basement comma]])
* [-2, -5, 1, 1⟩ (979:972) - ([[979/972|Basement comma]])
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Cosmic
Cosmic (approximated from [[32afdo]])
* 498.382
* 498.382
* 702.129
* 702.129
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Major
Major (approximated from [[12edo]])


(rotate to get its modes e.g. minor)
(rotate to get its modes e.g. minor)
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=== Music ===
=== 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)




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Unison Vectors
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]])
* [0, 3, 0, -2⟩ (8000:7921 - [[8000/7921|Incisor comma]])
* [-5, 4, -1, -1⟩ (1000:979 - [[1000/979|Canine comma]])
* [-5, 4, -1, -1⟩ (1000:979 - [[1000/979|Canine comma]])
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Unison Vectors
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]])
* [0, 3, -2, 0⟩ (125:121) - ([[125/121|Jug comma]])
* [3, 3, -1, -1⟩ (1000:979) - ([[1000/979|Canine comma]])
* [3, 3, -1, -1⟩ (1000:979) - ([[1000/979|Canine comma]])
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Cosmic
Cosmic (approximated from [[32afdo]])
* 494.730
* 494.730
* 705.564
* 705.564
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Major
Major (approximated from [[12edo]])


(rotate to get its modes e.g. minor)
(rotate to get its modes e.g. minor)
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Minor Hexatonic
Minor Hexatonic (approximated from [[12edo]])
* 188.336
* 188.336
* 306.394
* 306.394
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* [7, 0, 1, -2⟩ (7936:7921 - [[7936/7921|Lily comma]])
* [7, 0, 1, -2⟩ (7936:7921 - [[7936/7921|Lily comma]])
* [-9, 1, 2, -1⟩ (2883:2848 - [[2883/2848|Lilac 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]])
* [-2, 1, 3, -3⟩ (714984:704969 - [[714984/704969|Lightyear comma]])


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* [-5, 1, 2, -1⟩ (2883:2848) - ([[2883/2848|Lilac comma]])
* [-5, 1, 2, -1⟩ (2883:2848) - ([[2883/2848|Lilac comma]])
* [8, 0, 1, -2⟩ (7936:7921) - ([[7936/7921|Lily 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]])
* [-18, 2, 3, 0⟩ (268119:262144) - ([[268119/262144|Lutra comma]])


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Cosmic
Cosmic (approximated from [[32afdo]])
* 502.506
* 502.506
* 698.347
* 698.347
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Minor Hexatonic
Minor Hexatonic (approximated from [[12edo]])
* 195.842
* 195.842
* 306.664
* 306.664
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=== Music ===
=== 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)




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Normalised subgroup bases: '''2.9+.9-.89''' (contains a dual harmonic 9)
Normalised subgroup bases: '''2.9+.9-.89''' (contains a dual harmonic 9)


Related temperaments: [[Lu]]
Related temperaments: [[Lu]], [[Deutone]]




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=== Temperament data (normalised bases) ===
=== 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] ===
=== Example MOS scale: Rocket[19] ===
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Cosmic
Cosmic (approximated from [[32afdo]])
* 509.908
* 509.908
* 691.541
* 691.541
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Minor Hexatonic
Minor Hexatonic (approximated from [[12edo]])
* 190.151
* 190.151
* 319.757
* 319.757
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=== Music ===
=== 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
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