Myhemiwell chords: Difference between revisions

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'''Myhemiwell chords''' are [[essentially tempered chord]]s tempered by the myhemiwell comma, [[3388/3375]].  
'''Myhemiwell chords''' are [[essentially tempered chord]]s tempered by the myhemiwell comma, [[3388/3375]].  


The myhemiwell triad consists of a stack of two [[15/11]]s and [[15/14]] closing at the octave:  
The myhemiwell triad consists of a stack of two [[15/11]]'s and [[15/14]] closing at the octave:  
* 1-15/11-28/15 with steps 15/11-15/11-15/14.  
* 1–15/11–28/15 with steps 15/11, 15/11, 15/14.  


The chord can be extended to a tetrad:
The chord can be extended to a tetrad:
* 1-15/11-22/15-28/15 with steps 15/11-15/14-14/11-15/14.
* 1–15/11–22/15–28/15 with steps 15/11, 15/14, 14/11, 15/14.


Both chords are palindromic.
Both chords are palindromic.
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Equal temperaments with myhemiwell chords include {{Optimal ET sequence|22, 31, 53, 58, 80, 87, 118 and 140}}.
Equal temperaments with myhemiwell chords include {{Optimal ET sequence|22, 31, 53, 58, 80, 87, 118 and 140}}.


[[Category:15-odd-limit]]
[[Category:15-odd-limit chords]]
[[Category:Essentially tempered chords]]
[[Category:Essentially tempered chords]]
[[Category:Triads]]
[[Category:Triads]]
[[Category:Tetrads]]
[[Category:Tetrads]]
[[Category:Myhemiwell]]
[[Category:Myhemiwell]]

Latest revision as of 14:30, 20 March 2025

Myhemiwell chords are essentially tempered chords tempered by the myhemiwell comma, 3388/3375.

The myhemiwell triad consists of a stack of two 15/11's and 15/14 closing at the octave:

  • 1–15/11–28/15 with steps 15/11, 15/11, 15/14.

The chord can be extended to a tetrad:

  • 1–15/11–22/15–28/15 with steps 15/11, 15/14, 14/11, 15/14.

Both chords are palindromic.

Equal temperaments with myhemiwell chords include 22, 31, 53, 58, 80, 87, 118 and 140.