Werckismic chords: Difference between revisions

Wikispaces>FREEZE
No edit summary
top: re-categorisation (AWB)
Line 1: Line 1:
A ''werckismic chord'' is an [[Dyadic_chord|essentially tempered dyadic chord]] in werckismic (441/440) tempering in the 2.9.5.7.11 subgroup in the 11-odd-limit.
A ''werckismic chord'' is an [[Dyadic chord|essentially tempered dyadic chord]] in werckismic (441/440) tempering in the 2.9.5.7.11 subgroup in the 11-odd-limit.


The werckismic triads consist of three pairs of inversely related chords: 1-11/9-7/5 with steps 11/9-8/7-10/7 and 1-11/9-7/4 with steps 11/9-10/7-8/7; 1-11/7-7/4 with steps 11/7-10/9-8/7 and 1-11/7-9/5 with steps 11/7-8/7-10/9; and 1-7/5-11/7 with steps 7/5-9/8-14/11 and 1-14/11-10/7 with steps 14/11-9/8-7/5.
The werckismic triads consist of three pairs of inversely related chords: 1-11/9-7/5 with steps 11/9-8/7-10/7 and 1-11/9-7/4 with steps 11/9-10/7-8/7; 1-11/7-7/4 with steps 11/7-10/9-8/7 and 1-11/7-9/5 with steps 11/7-8/7-10/9; and 1-7/5-11/7 with steps 7/5-9/8-14/11 and 1-14/11-10/7 with steps 14/11-9/8-7/5.
Line 11: Line 11:
Equal temperaments with werckismic chords include 31, 41, 43, 46, 58, 72, 77, 84, 103, 118, 130, 159, 171, 190, 248, 289, 320, 727d, 929d and 1249d.
Equal temperaments with werckismic chords include 31, 41, 43, 46, 58, 72, 77, 84, 103, 118, 130, 159, 171, 190, 248, 289, 320, 727d, 929d and 1249d.
[[Category:11-limit]]
[[Category:11-limit]]
[[Category:chord]]
[[Category:Chords]]
[[Category:dyadic]]
[[Category:Dyadic]]
[[Category:todo:add_links]]
[[Category:Todo:add links]]
[[Category:werckisma]]
[[Category:Werckisma]]