57ed12: Difference between revisions
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== Theory == | == Theory == | ||
57ed12 is similar to [[16edo]], but has the 12th harmonic tuned just instead of the [[ | 57ed12 is similar to [[16edo]], but has the 12th harmonic tuned just instead of the [[octave]], which stretches the octave by 7.6{{c}}. It can be used as a tuning for [[mavila]] and has an antidiatonic ([[2L 5s]]) scale which approximates [[Pelog]] tunings in Indonesian gamelan music. | ||
16edo's [[harmonic]]s 3, 11 and 17 are all more than 25 cents away from just, making them unusable for most purposes. 57ed12 improves upon all of their tunings, bringing all those harmonics within 16 cents of just, and bringing 11 and 17 within an impressive 1 cent of just. This dramatically increases the number of [[consonant]] intervals and chords available in the tuning. | 16edo's [[harmonic]]s 3, 11 and 17 are all more than 25 cents away from just, making them unusable for most purposes. 57ed12 improves upon all of their tunings, bringing all those harmonics within 16 cents of just, and bringing 11 and 17 within an impressive 1 cent of just. This dramatically increases the number of [[consonant]] intervals and chords available in the tuning. | ||