Major minthmic chords: Difference between revisions

Xenllium (talk | contribs)
Update the article
Address a name change
Line 1: Line 1:
'''Minthmic chords''' are [[Dyadic chord|essentially tempered dyadic chords]] in the [[13-limit]] rank-5 temperament, and in addition the rank-3 2.3.11.13 [[subgroup]] temperament, tempered by the minthma, [[352/351]].  
'''Major minthmic chords''' are [[Dyadic chord|essentially tempered dyadic chords]] in the [[13-limit]] rank-5 temperament, and in addition the rank-3 2.3.11.13 [[subgroup]] temperament, tempered by the major minthma, [[352/351]].  


There are 8 triads, 27 tetrads, 28 pentads, 12 hexads and 2 heptads as 2.3.11.13 subgroup [[13-odd-limit]] essentially tempered chords.
There are 8 triads, 27 tetrads, 28 pentads, 12 hexads and 2 heptads as 2.3.11.13 subgroup [[13-odd-limit]] essentially tempered chords.
Line 94: Line 94:
* 1-9/8-11/9-4/3-3/2-13/8-11/6 with steps of 9/8-13/12-12/11-9/8-13/12-9/8-12/11 (→[[minthmic7b]]).  
* 1-9/8-11/9-4/3-3/2-13/8-11/6 with steps of 9/8-13/12-12/11-9/8-13/12-9/8-12/11 (→[[minthmic7b]]).  


Mintha was a nymph turned into a mint plant by a goddess whom she got in the way of, and minthmic tempering has the slightly sharp, minty-fresh fifths some people appreciate ([[Margo Schulter]] has expressed great fondness for this comma, for example). Equal temperaments with minthmic chords include {{Optimal ET sequence| 22, 29, 46, 53, 80, 87, 111, 121, 140, 198 and 205 }}.
Mintha was a nymph turned into a mint plant by a goddess whom she got in the way of, and major minthmic tempering has the slightly sharp, minty-fresh fifths some people appreciate ([[Margo Schulter]] has expressed great fondness for this comma, for example). Equal temperaments with minthmic chords include {{Optimal ET sequence| 22, 29, 46, 53, 80, 87, 111, 121, 140, 198 and 205 }}.


[[Category:13-odd-limit]]
[[Category:13-odd-limit]]
Line 103: Line 103:
[[Category:Hexads]]
[[Category:Hexads]]
[[Category:Heptads]]
[[Category:Heptads]]
[[Category:Minthmic]]
[[Category:Major minthmic]]