Chords of magic: Difference between revisions
added more chord names, added an interval chart |
more chord names |
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The chord names use ups and downs as described on the pergens page. The generator is vM3 and the enharmonic interval is ^<sup>5</sup>dd2. To simplify the names, lifts and drops are also used. One lift is 41 generators, octave-reduced. (41 because 41edo is a near-optimal tuning of magic.) Thus /1 = ^d2 = 20¢ - 8.2c, i.e. an up minus a tempered pythagorean comma. /C = ^Dbb and \C = vB#. ^C = /B# and vC = \Dbb. | The chord names use ups and downs as described on the pergens page. The generator is vM3 and the enharmonic interval is ^<sup>5</sup>dd2. To simplify the names, lifts and drops are also used. One lift is 41 generators, octave-reduced. (41 because 41edo is a near-optimal tuning of magic.) Thus /1 = ^d2 = 20¢ - 8.2c, i.e. an up minus a tempered pythagorean comma. /C = ^Dbb and \C = vB#. ^C = /B# and vC = \Dbb. | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
! | !Genspan | ||
|0 | |0 | ||
|1 | |1 | ||
| Line 78: | Line 78: | ||
^/A1 | ^/A1 | ||
|} | |} | ||
'''''To do: complete the tables''''' | |||
== Triads == | == Triads == | ||
| Line 262: | Line 264: | ||
| otonal | | otonal | ||
|^/(^b5) | |^/(^b5) | ||
| | |1-9/7-10/7 | ||
|- | |- | ||
| 26 | | 26 | ||
| Line 269: | Line 271: | ||
| marvel | | marvel | ||
|v,7no5 | |v,7no5 | ||
| | |1-5/4-16/9 | ||
|- | |- | ||
| 27 | | 27 | ||
| Line 283: | Line 285: | ||
| utonal | | utonal | ||
|^/,9no5 | |^/,9no5 | ||
| | |1-9/8-9/7 | ||
|- | |- | ||
| 29 | | 29 | ||
| Line 310: | Line 312: | ||
| 1-16/11-7/4 | | 1-16/11-7/4 | ||
| keenanismic | | keenanismic | ||
| | |^m(v\b5) | ||
| | |1-6/5-11/8 | ||
|- | |- | ||
| 33 | | 33 | ||
| Line 324: | Line 326: | ||
| 1-7/5-7/4 | | 1-7/5-7/4 | ||
| utonal | | utonal | ||
| | |v\7(\b5)no3 | ||
| | | | ||
|- | |- | ||
| Line 339: | Line 341: | ||
| swetismic | | swetismic | ||
| | | | ||
| | |1-9/7-7/5 | ||
|- | |- | ||
| 37 | | 37 | ||
| Line 511: | Line 513: | ||
| 1-5/4-14/9-9/5 | | 1-5/4-14/9-9/5 | ||
| magic | | magic | ||
| | |v^7(vv#5) | ||
| | | | ||
|- | |- | ||
| Line 533: | Line 535: | ||
| ambitonal | | ambitonal | ||
|^m7 | |^m7 | ||
|<u>or</u> | |<u>or</u> 1-5/4-3/2-5/3 = v6 | ||
|- | |- | ||
| 5 | | 5 | ||
| Line 553: | Line 555: | ||
| 1-5/4-16/11-9/5 | | 1-5/4-16/11-9/5 | ||
| supermagic | | supermagic | ||
| | |v^7(^^b5) | ||
| | | | ||
|- | |- | ||
| Line 560: | Line 562: | ||
| 1-6/5-16/11-9/5 | | 1-6/5-16/11-9/5 | ||
| ptolemismic | | ptolemismic | ||
| | |^m7(^^b5) | ||
| | | | ||
|- | |- | ||
| Line 567: | Line 569: | ||
| 1-7/6-16/11-9/5 | | 1-7/6-16/11-9/5 | ||
| magic | | magic | ||
| | |v\m,^7(^^b5) | ||
| | | | ||
|- | |- | ||
| Line 574: | Line 576: | ||
| 1-5/4-14/9-9/8 | | 1-5/4-14/9-9/8 | ||
| apollo | | apollo | ||
| | |v,9(vv#5) | ||
| | | | ||
|- | |- | ||
| Line 588: | Line 590: | ||
| 1-5/4-16/11-9/8 | | 1-5/4-16/11-9/8 | ||
| sensamagic11 | | sensamagic11 | ||
| | |v,9(^^b5) | ||
| | | | ||
|- | |- | ||
| Line 595: | Line 597: | ||
| 1-5/4-9/5-9/8 | | 1-5/4-9/5-9/8 | ||
| ptolemismic | | ptolemismic | ||
| | |v^7,9no5 | ||
| | |<u>or</u> v9(^7)no5 | ||
|- | |- | ||
| 14 | | 14 | ||
| Line 602: | Line 604: | ||
| 1-14/9-9/5-9/8 | | 1-14/9-9/5-9/8 | ||
| sensamagic11 | | sensamagic11 | ||
| | |^9(vv#5)no3 | ||
| | |<u>or</u> ^7(vv#5)sus2 | ||
|- | |- | ||
| 15 | | 15 | ||
| Line 609: | Line 611: | ||
| 1-3/2-9/5-9/8 | | 1-3/2-9/5-9/8 | ||
| utonal | | utonal | ||
|^ | |^9no3 | ||
|<u>or</u> 2,^ | |<u>or</u> ^7sus2 <u>or</u> 2,^7 | ||
|- | |- | ||
| 16 | | 16 | ||
| Line 714: | Line 716: | ||
| 1-6/5-3/2-7/4 | | 1-6/5-3/2-7/4 | ||
| keenanismic | | keenanismic | ||
|^ | |^mv\7 | ||
| | | | ||
|- | |- | ||
| Line 721: | Line 723: | ||
| 1-14/9-7/6-7/4 | | 1-14/9-7/6-7/4 | ||
| utonal | | utonal | ||
| | |v\m7(vv#5) | ||
| | | | ||
|- | |- | ||
| Line 749: | Line 751: | ||
| 1-7/6-16/11-7/4 | | 1-7/6-16/11-7/4 | ||
| keenanismic | | keenanismic | ||
| | |v\m7(^^b5) | ||
| | | | ||
|- | |- | ||
| Line 771: | Line 773: | ||
| otonal | | otonal | ||
|v\7sus2 | |v\7sus2 | ||
|<u>or</u> 2,v\7 | |<u>or</u> 2,v\7 <u>or</u> v\9no3 | ||
|- | |- | ||
| 39 | | 39 | ||