Septisemi temperaments: Difference between revisions
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m Removing from Category:Regular temperament theory using Cat-a-lot |
-oxygen (addressed in porcupine family) |
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Temperaments discussed elsewhere are: | Temperaments discussed elsewhere are: | ||
* [[Mother]], {16/15, 21/20} → [[Father family #Mother]] | * ''[[Mother]]'', {16/15, 21/20} → [[Father family #Mother|Father family]] | ||
* [[Flat]], {21/20, 25/24} → [[Dicot family #Flat]] | * ''[[Flat (temperament)|Flat]]'', {21/20, 25/24} → [[Dicot family #Flat|Dicot family]] | ||
* [[Beep]], {21/20, 27/25} → [[Bug family #Beep]] | * ''[[Beep]]'', {21/20, 27/25} → [[Bug family #Beep|Bug family]] | ||
* [[Sharptone]], {21/20, 28/27} → [[Meantone family #Sharptone]] | * ''[[Sharptone]]'', {21/20, 28/27} → [[Meantone family #Sharptone|Meantone family]] | ||
* [[Pelogic]], {21/20, 135/128} → [[Pelogic family #Pelogic]] | * ''[[Pelogic]]'', {21/20, 135/128} → [[Pelogic family #Pelogic|Pelogic family]] | ||
* [[Gidorah]], {21/20, 144/125} → [[Gamelismic clan #Gidorah]] | * ''[[Gidorah]]'', {21/20, 144/125} → [[Gamelismic clan #Gidorah|Gamelismic clan]] | ||
* ''[[Oxygen]]'', {21/20, 175/162} → [[Porcupine family #Oxygen|Porcupine family]] | |||
Considered below are fluorine | Considered below are fluorine and sodium. | ||
== Fluorine == | == Fluorine == | ||
| Line 54: | Line 55: | ||
[[Badness]]: 0.055814 | [[Badness]]: 0.055814 | ||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||
[[Category:Septisemi temperaments| ]] <!-- main article --> | [[Category:Septisemi temperaments| ]] <!-- main article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||
Revision as of 11:14, 2 April 2023
These are very low complexity temperaments tempering out the septimal minor semitone, 21/20, and hence equating 5/3 with 7/4, and 10/7 with 3/2.
Temperaments discussed elsewhere are:
- Mother, {16/15, 21/20} → Father family
- Flat, {21/20, 25/24} → Dicot family
- Beep, {21/20, 27/25} → Bug family
- Sharptone, {21/20, 28/27} → Meantone family
- Pelogic, {21/20, 135/128} → Pelogic family
- Gidorah, {21/20, 144/125} → Gamelismic clan
- Oxygen, {21/20, 175/162} → Porcupine family
Considered below are fluorine and sodium.
Fluorine
5-limit (avila)
Subgroup: 2.3.5
Comma list: 729/640
Mapping: [⟨1 0 -7], ⟨0 1 6]]
POTE generator: ~3/2 = 661.593
Badness: 0.181941
7-limit
Subgroup: 2.3.5.7
Comma list: 21/20, 243/224
Mapping: [⟨1 0 -7 -5], ⟨0 1 6 5]]
Wedgie: ⟨⟨ 1 6 5 7 5 -5 ]]
POTE generator: ~3/2 = 663.059
Badness: 0.055623
Sodium
Subgroup: 2.3.5.7
Comma list: 21/20, 54/49
Mapping: [⟨1 1 1 2], ⟨0 2 5 3]]
Wedgie: ⟨⟨ 2 5 3 3 -1 -7 ]]
POTE generator: ~7/6 = 320.182
Badness: 0.055814