Schismatic family: Difference between revisions
The arithmetic formula is basically of little value compared to an intro to notation |
Correction (pontiac's 7-limit normal comma isn't the nanisma) |
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* [[#Grackle]] adds {{monzo| -44 26 0 1 }}, | * [[#Grackle]] adds {{monzo| -44 26 0 1 }}, | ||
* [[#Schism]] adds [[64/63|{{monzo| 6 -2 0 -1 }}]], | * [[#Schism]] adds [[64/63|{{monzo| 6 -2 0 -1 }}]], | ||
* [[#Pontiac]] adds | * [[#Pontiac]] adds {{monzo| -59 39 0 -1 }}. | ||
Those all have a fifth as generator. | Those all have a fifth as generator. | ||
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{{Main| Pontiac }} | {{Main| Pontiac }} | ||
Pontiac tempers out the [[ | Pontiac tempers out the [[ragisma]], rendering a very accurate 7-limit microtemperament. The 7/4 is found at +39 fifths, represented by the quintuple augmented third (C-Exx#), or triple-up major sixth (C-^<sup>3</sup>A). | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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=== Helenoid === | === Helenoid === | ||
The helenoid temperament (53 & 118) is closely related to the helenus temperament, but with the | The helenoid temperament (53 & 118) is closely related to the helenus temperament, but with the ragisma rather than the [[225/224|marvel comma]] tempered out. | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||