Frameshift clan: Difference between revisions
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{{Technical data page}} | |||
These are rank-2 temperaments that temper out the [[frameshift comma]], 22876792454961/22866405883904 = {{monzo| -34 28 0 0 -3 }}. | These are rank-2 temperaments that temper out the [[frameshift comma]], 22876792454961/22866405883904 = {{monzo| -34 28 0 0 -3 }}. | ||
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* ''[[Quarterframe]]'', {[[3025/3024]], [[26214400/26198073]], [[29296875/29218112]]} → [[The Quartercache #Quarterframe|The Quartercache]] | * ''[[Quarterframe]]'', {[[3025/3024]], [[26214400/26198073]], [[29296875/29218112]]} → [[The Quartercache #Quarterframe|The Quartercache]] | ||
* ''[[Tritricot]]'', {[[4000/3993]], [[166698/166375]], [[200704/200475]]} → [[Tricot family #Tritricot|Tricot family]] | * ''[[Tritricot]]'', {[[4000/3993]], [[166698/166375]], [[200704/200475]]} → [[Tricot family #Tritricot|Tricot family]] | ||
* ''[[Auric]]'', {4000/3993, 15625/15552, 32805/32768} → [[159th-octave temperaments#Auric|159th-octave temperaments]] | |||
==400 & 159== | |||
== 400 & 159 == | |||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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[[Comma list]]: [[200704/200475]], [[160083/160000]], [[166698/166375]] | [[Comma list]]: [[200704/200475]], [[160083/160000]], [[166698/166375]] | ||
[[Mapping]]: | [[Mapping]]: [{{val|1 4 47 66 26}}, {{val|0 -6 -111 -157 -56}}] | ||
[[POTE generator]]: ~2707/2048 = 483.0025 | |||
{{Optimal ET sequence|legend=1|159, 241, 400, 559, 959}} | |||
{{ | |||
[[Badness]]: | [[Badness]]: | ||
== Brief == | ==Brief== | ||
This temperament's name comes from the fact that it tempers out both the Breedsma and the reef comma. | This temperament's name comes from the fact that it tempers out both the Breedsma and the reef comma. | ||
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[[Mapping]]: | [[Mapping]]: | ||
[[POTE generator]]: | [[POTE generator]]: | ||
{{ | {{Optimal ET sequence|legend=1| }} | ||
[[Badness]]: | [[Badness]]: | ||
== 118 & 400 == | ==118 & 400== | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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[[Comma list]]: [[5632/5625]], [[9801/9800]], [[200704/200475]] | [[Comma list]]: [[5632/5625]], [[9801/9800]], [[200704/200475]] | ||
[[Mapping]]: | [[Mapping]]: [{{val|2 5 8 23 24}}, {{val|0 -6 -11 -57 -56}}] | ||
{{ | |||
[[POTE generator]]: | [[POTE generator]]: ~11585/8192 = 600, ~329/296 = 183.0023 | ||
{{ | {{Optimal ET sequence|legend=1|118, 282, 400, 518, 636, 754d, 918}} | ||
[[Badness]]: | [[Badness]]: | ||
[[Category:Temperament clans]] | |||
Latest revision as of 12:18, 27 November 2025
- This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.
These are rank-2 temperaments that temper out the frameshift comma, 22876792454961/22866405883904 = [-34 28 0 0 -3⟩.
Temperaments discussed elsewhere include:
- Guiron, {385/384, 441/440, 10976/10935} → Gamelismic clan
- Quarterframe, {3025/3024, 26214400/26198073, 29296875/29218112} → The Quartercache
- Tritricot, {4000/3993, 166698/166375, 200704/200475} → Tricot family
- Auric, {4000/3993, 15625/15552, 32805/32768} → 159th-octave temperaments
400 & 159
Subgroup: 2.3.5.7.11
Comma list: 200704/200475, 160083/160000, 166698/166375
Mapping: [⟨1 4 47 66 26], ⟨0 -6 -111 -157 -56]]
POTE generator: ~2707/2048 = 483.0025
Optimal ET sequence: 159, 241, 400, 559, 959
Brief
This temperament's name comes from the fact that it tempers out both the Breedsma and the reef comma.
Subgroup: 2.3.5.7.11
Comma list: 2401/2400, 131072/130977, 200704/200475
118 & 400
Subgroup: 2.3.5.7.11
Comma list: 5632/5625, 9801/9800, 200704/200475
Mapping: [⟨2 5 8 23 24], ⟨0 -6 -11 -57 -56]]
POTE generator: ~11585/8192 = 600, ~329/296 = 183.0023