Marveltwin chords

Revision as of 02:35, 5 August 2011 by Wikispaces>genewardsmith (**Imported revision 244446651 - Original comment: **)

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The marveltwin triad is a 13-limit [[dyadic chord|essentially tempered dyadic chord]] which consists of two stacked minor thirds followed by an 18/13, that is, a 6/5-6/5-18/13 chord, tempered in [[marveltwin]]. In other words, an 1-6/5-13/9 chord tempered in a temperament tempering out 325/324, the marveltwin comma. It makes for an instructive comparison with the septimal diminished triad, 1-6/5-10/7 in starling, and might also be called a tridecimal diminished triad. It can be extended to the marveltwin tetrad, 1-6/5-13/9-26/15 in marveltwin, which is a 15-limit essentially tempered dyadic chord with steps 6/5-6/5-6/5-15/13. Equal temperaments with marveltwin triads include 19, 26, 34, 41, 46, 53, 72, 87, 121, 140, 159, 193, 212, 246, 299 and 333.

Original HTML content:

<html><head><title>marveltwin triad</title></head><body>The marveltwin triad is a 13-limit <a class="wiki_link" href="/dyadic%20chord">essentially tempered dyadic chord</a> which consists of two stacked minor thirds followed by an 18/13, that is, a 6/5-6/5-18/13 chord, tempered in <a class="wiki_link" href="/marveltwin">marveltwin</a>. In other words, an 1-6/5-13/9 chord tempered in a temperament tempering out 325/324, the marveltwin comma. It makes for an instructive comparison with the septimal diminished triad, 1-6/5-10/7 in starling, and might also be called a tridecimal diminished triad. It can be extended to the marveltwin tetrad, 1-6/5-13/9-26/15 in marveltwin, which is a 15-limit essentially tempered dyadic chord with steps 6/5-6/5-6/5-15/13. Equal temperaments with marveltwin triads include 19, 26, 34, 41, 46, 53, 72, 87, 121, 140, 159, 193, 212, 246, 299 and 333.</body></html>