Meantone family: Difference between revisions
→Meantone: sharp of 5edo -> around 5edo |
→Extensions: Rewrote the bit on sharptone, because it's not "around 5edo", it's exactly 5edo. |
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* Septimal meantone adds [[Harrison's comma|{{monzo| -13 10 0 -1 }}]], finding the ~[[7/4]] at the augmented sixth (diesis-flat minor seventh). It is well-tuned between 12edo and 19edo. | * Septimal meantone adds [[Harrison's comma|{{monzo| -13 10 0 -1 }}]], finding the ~[[7/4]] at the augmented sixth (diesis-flat minor seventh). It is well-tuned between 12edo and 19edo. | ||
* Dominant adds [[64/63|{{monzo| 6 -2 0 -1 }}]], finding the ~7/4 at the minor seventh. It is well-tuned between 5edo and 12edo. | * Dominant adds [[64/63|{{monzo| 6 -2 0 -1 }}]], finding the ~7/4 at the minor seventh. It is well-tuned between 5edo and 12edo. | ||
* Sharptone adds [[28/27|{{monzo| 2 -3 0 1 }}]], finding the ~7/4 at the major sixth. It is | * Sharptone adds [[28/27|{{monzo| 2 -3 0 1 }}]], finding the ~7/4 at the major sixth. It is never exactly well-tuned, but 5edo is the only [[diamond monotone]] tuning, and even it has a terrible ~5/4. As such, it is an exotemperament. | ||
Those all have a fifth as generator. | Those all have a fifth as generator. | ||
* Injera adds {{monzo| -7 8 0 -2 }} with a half-octave period. | * Injera adds {{monzo| -7 8 0 -2 }} with a half-octave period. | ||