User:BudjarnLambeth/Batch 89 temperaments: Difference between revisions
m Added links to comma pages and added this page to category "temperament collections" |
m Reorganised subheadings, added to-do info |
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Normalised subgroup bases: '''2.3.11.89''' | Normalised subgroup bases: '''2.3.11.89''' | ||
=== | === Temperament data (raw bases) === | ||
Equal Temperament Mappings | Equal Temperament Mappings | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 66: | Line 66: | ||
|] ⟩ | |] ⟩ | ||
|} | |} | ||
TE Generator Tunings (cents) | TE Generator Tunings (cents) | ||
| Line 88: | Line 85: | ||
⟨0.511, 1.196, 6.223, -13.002] | ⟨0.511, 1.196, 6.223, -13.002] | ||
POTE Generator Tunings (cents) | POTE Generator Tunings (cents) | ||
| Line 119: | Line 114: | ||
|TE Error | |TE Error | ||
|1.179689 cents/octave | |1.179689 cents/octave | ||
|} | |}Unison Vectors | ||
Unison Vectors | |||
* [-3, 1, -1, 1⟩ (89:88 - [[89/88|Sky comma]]) | * [-3, 1, -1, 1⟩ (89:88 - [[89/88|Sky comma]]) | ||
* [0, -5, 0, 2⟩ (7921:7776 - [[7921/7776|Attic comma]]) | * [0, -5, 0, 2⟩ (7921:7776 - [[7921/7776|Attic comma]]) | ||
| Line 132: | Line 124: | ||
(* val for 89 is lowered) | (* val for 89 is lowered) | ||
=== Temperament data (normalised bases) === | |||
''Todo: please fill out this section'' | |||
=== Example MOS scale: Floor[17] === | === Example MOS scale: Floor[17] === | ||
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Normalised subgroup bases: '''2.5.11.89''' | Normalised subgroup bases: '''2.5.11.89''' | ||
=== | === Temperament data (raw bases) === | ||
Equal Temperament Mappings | Equal Temperament Mappings | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 209: | Line 204: | ||
|} | |} | ||
TE Generator Tunings (cents) | TE Generator Tunings (cents) | ||
| Line 258: | Line 253: | ||
|TE Error | |TE Error | ||
|1.078398 cents/octave | |1.078398 cents/octave | ||
|} | |}Unison Vectors | ||
Unison Vectors | |||
* [-5, 1, -1, 1⟩ (89:88 - [[89/88|Sky comma]]) | * [-5, 1, -1, 1⟩ (89:88 - [[89/88|Sky comma]]) | ||
* [0, 3, 0, -2⟩ (8000:7921 - [[8000/7921|Incisor comma]]) | * [0, 3, 0, -2⟩ (8000:7921 - [[8000/7921|Incisor comma]]) | ||
| Line 271: | Line 263: | ||
(* vals for 55 and 89 are raised) | (* vals for 55 and 89 are raised) | ||
=== Temperament data (normalised bases) === | |||
''Todo: please fill out this section'' | |||
=== Example MOS scale: Teefs[19] === | === Example MOS scale: Teefs[19] === | ||
| Line 301: | Line 296: | ||
Normalised subgroup bases: '''2.3.31.89''' | Normalised subgroup bases: '''2.3.31.89''' | ||
=== | === Temperament data (raw bases) === | ||
Equal Temperament Mappings | Equal Temperament Mappings | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 350: | Line 345: | ||
|} | |} | ||
TE Generator Tunings (cents) | TE Generator Tunings (cents) | ||
| Line 369: | Line 364: | ||
⟨0.853, -1.050, -5.200, 2.022] | ⟨0.853, -1.050, -5.200, 2.022] | ||
POTE Generator Tunings (cents) | POTE Generator Tunings (cents) | ||
| Line 400: | Line 393: | ||
|TE Error | |TE Error | ||
|0.646730 cents/octave | |0.646730 cents/octave | ||
|} | |}Unison Vectors | ||
Unison Vectors | |||
* [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]]) | ||
| Line 413: | Line 403: | ||
(* val for 62 is lowered) | (* val for 62 is lowered) | ||
=== Temperament data (normalised bases) === | |||
''Todo: please fill out this section'' | |||
=== Example MOS scale: Lylla[19] === | === Example MOS scale: Lylla[19] === | ||
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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) | ||
=== | === Temperament data (raw bases) === | ||
Equal Temperament Mappings | Equal Temperament Mappings | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 494: | Line 487: | ||
|} | |} | ||
TE Generator Tunings (cents) | TE Generator Tunings (cents) | ||
| Line 545: | Line 538: | ||
|} | |} | ||
Unison Vectors | Unison Vectors | ||
| Line 557: | Line 550: | ||
(* val for 89 is raised) | (* val for 89 is raised) | ||
=== Temperament data (normalised bases) === | |||
''Todo: please fill out this section'' | |||
=== Example MOS scale: Rocket[19] === | === Example MOS scale: Rocket[19] === | ||
| Line 588: | Line 584: | ||
[[Category:MOS scales]] | [[Category:MOS scales]] | ||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||
[[Category:Todo:expand]] | |||