Porcupine temperament modal harmony: Difference between revisions
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Lastly, porcupine temperament is extremely notable because: | Lastly, porcupine temperament is extremely notable because: | ||
# It is the simplest 5-limit temperament that is at least as precise as 12edo, and which is not supported by 12edo. | # It is the simplest 5-limit temperament that is at least as precise as 12edo, and which is not supported by 12edo. | ||
# In a [http://x31eq.com/ | # In a [http://x31eq.com/pyscript/pregular.html?limit=5&error=5.0 temperament search] of 5-limit temperaments, using the standard search parameter of 5 cents of error, porcupine is the first temperament in the results that is not supported by 12. | ||
Porcupine remains the "best" such temperament even if the maximum error is relaxed somewhat, until eventually being superceded by [[mavila]] temperament, which is simpler in the 5-limit but much less accurate than porcupine temperament due to its extremely flat fifth of 670-680 cents. (using standard harmonic timbres). | Porcupine remains the "best" such temperament even if the maximum error is relaxed somewhat, until eventually being superceded by [[mavila]] temperament, which is simpler in the 5-limit but much less accurate than porcupine temperament due to its extremely flat fifth of 670-680 cents. (using standard harmonic timbres). | ||