225/128: Difference between revisions

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[[File:jid_225_128_pluck_adu_dr220.mp3]] [[:File:jid_225_128_pluck_adu_dr220.mp3|sound sample]]
[[File:jid_225_128_pluck_adu_dr220.mp3]] [[:File:jid_225_128_pluck_adu_dr220.mp3|sound sample]]


The marvel five-limit harmonic seventh, 225/128, is the interval between the [[5-limit|5-limit]] minor second, [[16/15|16/15]], and the major second, [[15/8|15/8]]. It is a marvel comma, 225/224, sharp of the harmonic seventh, [[7/4|7/4]], and so tempering out 225/224, which is [[Marvel|marvel]] temperament, equates the two. Marvel tempering is a useful method of tempering the 5-limit to include septimal harmony, making two minor seconds a supermajor second, [[8/7|8/7]] and two major seconds into [[7/6|7/6]].
The '''marvel five-limit harmonic seventh''' is the interval '''225/128'''.  It is the interval between the [[5-limit|5-limit]] minor second, [[16/15|16/15]], and the major seventh, [[15/8|15/8]], and, on account of this interval occurring in precisely this capacity in just Neapolitan scales, this interval can also be referred to as as the '''Neapolitan augmented sixth'''. It is a marvel comma, 225/224, sharp of the harmonic seventh, [[7/4|7/4]], and so tempering out 225/224, which is [[Marvel|marvel]] temperament, equates the two. Marvel tempering is a useful method of tempering the 5-limit to include septimal harmony, making two minor seconds a supermajor second, [[8/7|8/7]] and two major seconds into [[7/6|7/6]].