Augmented family: Difference between revisions
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The 5-limit parent comma for the '''augmented family''' is 128/125, the [[128/125|diesis]]. Its [[monzo|monzo]] is |7 0 -3>, and flipping that yields <<3 0 -7|| for the [[wedgie|wedgie]]. Hence the period is 1/3 octave, and this is what is used for a major third. The [[generator|generator]] can be taken as a fifth or a semitone, and [[12edo|12edo]], with its excellent fifth, is an obvious tuning for [[5-limit|5-limit]] augmented, though a sharper fifth might be preferred to go with the sharp third. | The 5-limit parent comma for the '''augmented family''' is 128/125, the [[128/125|diesis]]. Its [[monzo|monzo]] is |7 0 -3>, and flipping that yields <<3 0 -7|| for the [[wedgie|wedgie]]. Hence the period is 1/3 octave, and this is what is used for a major third. The [[generator|generator]] can be taken as a fifth or a semitone, and [[12edo|12edo]], with its excellent fifth, is an obvious tuning for [[5-limit|5-limit]] augmented, though a sharper fifth might be preferred to go with the sharp third. | ||