Myna/11-limit chords: Difference between revisions
Jump to navigation
Jump to search
Wikispaces>FREEZE No edit summary |
m Cleanup; +categories |
||
| Line 1: | Line 1: | ||
Below are listed the [[ | Below are listed the [[dyadic chord]]s of [[11-limit]] [[Myna|myna temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[441/440]] are [[Werckismic chords|werckismic]], by [[385/384]] [[Keenanismic chords|keenanismic]], by [[243/242]] [[Rastmic chords|rastmic]], by [[176/175]] [[Valinorsmic chords|valinorsmic]], and by [[126/125]] [[Starling chords|starling]]. Those requiring tempering by any two of 441/440, 176/175 or 126/125 are labeled [[thrush]], and those requiring any two of 540/539, 441/440 or 243/242 [[jove]]. | ||
=Triads= | == Triads == | ||
{| class="wikitable" | {| class="wikitable center-1" | ||
|- | |- | ||
! # | |||
! Chord | |||
! Transversal | |||
! Type | |||
! Hash | |||
|- | |- | ||
| 1 | |||
| 0-1-2 | |||
| 1-6/5-10/7 | |||
| starling | |||
| 2.807355 | |||
|- | |- | ||
| 2 | |||
| 0-1-3 | |||
| 1-6/5-12/7 | |||
| utonal | |||
| 3.459432 | |||
|- | |- | ||
| 3 | |||
| 0-2-3 | |||
| 1-10/7-12/7 | |||
| otonal | |||
| 3.700440 | |||
|- | |- | ||
| 4 | |||
| 0-2-5 | |||
| 1-10/7-11/9 | |||
| swetismic | |||
| 5.209453 | |||
|- | |- | ||
| 5 | |||
| 0-3-5 | |||
| 1-12/7-11/9 | |||
| swetismic | |||
| 5.357552 | |||
|- | |- | ||
| 6 | |||
| 0-2-7 | |||
| 1-10/7-7/4 | |||
| werckismic | |||
| 7.055282 | |||
|- | |- | ||
| 7 | |||
| 0-5-7 | |||
| 1-11/9-7/4 | |||
| werckismic | |||
| 7.330917 | |||
|- | |- | ||
| 8 | |||
| 0-2-9 | |||
| 1-10/7-5/4 | |||
| utonal | |||
| 9.014020 | |||
|- | |- | ||
| 9 | |||
| 0-7-9 | |||
| 1-7/4-5/4 | |||
| otonal | |||
| 9.324181 | |||
|- | |- | ||
| 10 | |||
| 0-1-10 | |||
| 1-6/5-3/2 | |||
| utonal | |||
| 10.004220 | |||
|- | |- | ||
| 11 | |||
| 0-3-10 | |||
| 1-12/7-3/2 | |||
| utonal | |||
| 10.012625 | |||
|- | |- | ||
| 12 | |||
| 0-5-10 | |||
| 1-11/9-3/2 | |||
| rastmic | |||
| 10.045760 | |||
|- | |- | ||
| 13 | |||
| 0-7-10 | |||
| 1-7/4-3/2 | |||
| otonal | |||
| 10.171177 | |||
|- | |- | ||
| 14 | |||
| 0-9-10 | |||
| 1-5/4-3/2 | |||
| otonal | |||
| 10.585901 | |||
|- | |- | ||
| 15 | |||
| 0-1-11 | |||
| 1-6/5-9/5 | |||
| otonal | |||
| 11.002112 | |||
|- | |- | ||
| 16 | |||
| 0-2-11 | |||
| 1-10/7-9/5 | |||
| starling | |||
| 11.003518 | |||
|- | |- | ||
| 17 | |||
| 0-9-11 | |||
| 1-5/4-9/5 | |||
| starling | |||
| 11.322492 | |||
|- | |- | ||
| 18 | |||
| 0-10-11 | |||
| 1-3/2-9/5 | |||
| utonal | |||
| 11.585432 | |||
|- | |- | ||
| 19 | |||
| 0-2-13 | |||
| 1-10/7-9/7 | |||
| otonal | |||
| 13.000880 | |||
|- | |- | ||
| 20 | |||
| 0-3-13 | |||
| 1-12/7-9/7 | |||
| otonal | |||
| 13.001584 | |||
|- | |- | ||
| 21 | |||
| 0-10-13 | |||
| 1-3/2-9/7 | |||
| utonal | |||
| 13.170082 | |||
|- | |- | ||
| 22 | |||
| 0-11-13 | |||
| 1-9/5-9/7 | |||
| utonal | |||
| 13.322069 | |||
|- | |- | ||
| 23 | |||
| 0-2-15 | |||
| 1-10/7-11/6 | |||
| swetismic | |||
| 15.000220 | |||
|- | |- | ||
| 24 | |||
| 0-5-15 | |||
| 1-11/9-11/6 | |||
| utonal | |||
| 15.001452 | |||
|- | |- | ||
| 25 | |||
| 0-10-15 | |||
| 1-3/2-11/6 | |||
| otonal | |||
| 15.044437 | |||
|- | |- | ||
| 26 | |||
| 0-13-15 | |||
| 1-9/7-11/6 | |||
| swetismic | |||
| 15.321963 | |||
|- | |- | ||
| 27 | |||
| 0-1-16 | |||
| 1-6/5-11/10 | |||
| otonal | |||
| 16.000066 | |||
|- | |- | ||
| 28 | |||
| 0-3-16 | |||
| 1-12/7-11/10 | |||
| swetismic | |||
| 16.000190 | |||
|- | |- | ||
| 29 | |||
| 0-5-16 | |||
| 1-11/9-11/10 | |||
| utonal | |||
| 16.000726 | |||
|- | |- | ||
| 30 | |||
| 0-7-16 | |||
| 1-7/4-11/10 | |||
| valinorsmic | |||
| 16.002837 | |||
|- | |- | ||
| 31 | |||
| 0-9-16 | |||
| 1-5/4-11/10 | |||
| valinorsmic | |||
| 16.011249 | |||
|- | |- | ||
| 32 | |||
| 0-11-16 | |||
| 1-9/5-11/10 | |||
| otonal | |||
| 16.044415 | |||
|- | |- | ||
| 33 | |||
| 0-13-16 | |||
| 1-9/7-11/10 | |||
| swetismic | |||
| 16.169946 | |||
|- | |- | ||
| 34 | |||
| 0-15-16 | |||
| 1-11/6-11/10 | |||
| utonal | |||
| 16.584977 | |||
|- | |- | ||
| 35 | |||
| 0-2-18 | |||
| 1-10/7-11/7 | |||
| otonal | |||
| 18.000028 | |||
|- | |- | ||
| 36 | |||
| 0-3-18 | |||
| 1-12/7-11/7 | |||
| otonal | |||
| 18.000050 | |||
|- | |- | ||
| 37 | |||
| 0-5-18 | |||
| 1-11/9-11/7 | |||
| utonal | |||
| 18.000182 | |||
|- | |- | ||
| 38 | |||
| 0-7-18 | |||
| 1-7/4-11/7 | |||
| werckismic | |||
| 18.000710 | |||
|- | |- | ||
| 39 | |||
| 0-9-18 | |||
| 1-5/4-11/7 | |||
| valinorsmic | |||
| 18.002821 | |||
|- | |- | ||
| 40 | |||
| 0-11-18 | |||
| 1-9/5-11/7 | |||
| werckismic | |||
| 18.011233 | |||
|- | |- | ||
| 41 | |||
| 0-13-18 | |||
| 1-9/7-11/7 | |||
| otonal | |||
| 18.044399 | |||
|- | |- | ||
| 42 | |||
| 0-15-18 | |||
| 1-11/6-11/7 | |||
| utonal | |||
| 18.169930 | |||
|- | |- | ||
| 43 | |||
| 0-16-18 | |||
| 1-11/10-11/7 | |||
| utonal | |||
| 18.321932 | |||
|- | |- | ||
| 44 | |||
| 0-2-20 | |||
| 1-10/7-9/8 | |||
| werckismic | |||
| 20.000007 | |||
|- | |- | ||
| 45 | |||
| 0-5-20 | |||
| 1-11/9-9/8 | |||
| rastmic | |||
| 20.000045 | |||
|- | |- | ||
| 46 | |||
| 0-7-20 | |||
| 1-7/4-9/8 | |||
| otonal | |||
| 20.000177 | |||
|- | |- | ||
| 47 | |||
| 0-9-20 | |||
| 1-5/4-9/8 | |||
| otonal | |||
| 20.000706 | |||
|- | |- | ||
| 48 | |||
| 0-10-20 | |||
| 1-3/2-9/8 | |||
| ambitonal | |||
| 20.001410 | |||
|- | |- | ||
| 49 | |||
| 0-11-20 | |||
| 1-9/5-9/8 | |||
| utonal | |||
| 20.002816 | |||
|- | |- | ||
| 50 | |||
| 0-13-20 | |||
| 1-9/7-9/8 | |||
| utonal | |||
| 20.011229 | |||
|- | |- | ||
| 51 | |||
| 0-15-20 | |||
| 1-11/6-9/8 | |||
| rastmic | |||
| 20.044395 | |||
|- | |- | ||
| 52 | |||
| 0-18-20 | |||
| 1-11/7-9/8 | |||
| werckismic | |||
| 20.321929 | |||
|- | |- | ||
| 53 | |||
| 0-5-25 | |||
| 1-11/9-11/8 | |||
| utonal | |||
| 25.000001 | |||
|- | |- | ||
| 54 | |||
| 0-7-25 | |||
| 1-7/4-11/8 | |||
| otonal | |||
| 25.000006 | |||
|- | |- | ||
| 55 | |||
| 0-9-25 | |||
| 1-5/4-11/8 | |||
| otonal | |||
| 25.000022 | |||
|- | |- | ||
| 56 | |||
| 0-10-25 | |||
| 1-3/2-11/8 | |||
| otonal | |||
| 25.000044 | |||
|- | |- | ||
| 57 | |||
| 0-15-25 | |||
| 1-11/6-11/8 | |||
| utonal | |||
| 25.001408 | |||
|- | |- | ||
| 58 | |||
| 0-16-25 | |||
| 1-11/10-11/8 | |||
| utonal | |||
| 25.002815 | |||
|- | |- | ||
| 59 | |||
| 0-18-25 | |||
| 1-11/7-11/8 | |||
| utonal | |||
| 25.011227 | |||
|- | |- | ||
| 60 | |||
| 0-20-25 | |||
| 1-9/8-11/8 | |||
| otonal | |||
| 25.044394 | |||
|} | |} | ||
=Tetrads= | == Tetrads == | ||
{| class="wikitable" | {| class="wikitable center-1" | ||
|- | |- | ||
! # | |||
! Chord | |||
! Transversal | |||
! Type | |||
! Hash | |||
|- | |- | ||
| 1 | |||
| 0-1-2-3 | |||
| 1-6/5-10/7-12/7 | |||
| starling | |||
| 3.906891 | |||
|- | |- | ||
| 2 | |||
| 0-2-3-5 | |||
| 1-10/7-12/7-11/9 | |||
| swetismic | |||
| 5.491853 | |||
|- | |- | ||
| 3 | |||
| 0-2-5-7 | |||
| 1-10/7-11/9-7/4 | |||
| jove | |||
| 7.366322 | |||
|- | |- | ||
| 4 | |||
| 0-2-7-9 | |||
| 1-10/7-7/4-5/4 | |||
| werckismic | |||
| 9.333155 | |||
|- | |- | ||
| 5 | |||
| 0-1-3-10 | |||
| 1-6/5-12/7-3/2 | |||
| utonal | |||
| 10.015415 | |||
|- | |- | ||
| 6 | |||
| 0-3-5-10 | |||
| 1-12/7-11/9-3/2 | |||
| jove | |||
| 10.056638 | |||
|- | |- | ||
| 7 | |||
| 0-5-7-10 | |||
| 1-11/9-7/4-3/2 | |||
| jove | |||
| 10.210671 | |||
|- | |- | ||
| 8 | |||
| 0-7-9-10 | |||
| 1-7/4-5/4-3/2 | |||
| otonal | |||
| 10.701306 | |||
|- | |- | ||
| 9 | |||
| 0-1-2-11 | |||
| 1-6/5-10/7-9/5 | |||
| starling | |||
| 11.004923 | |||
|- | |- | ||
| 10 | |||
| 0-2-9-11 | |||
| 1-10/7-5/4-9/5 | |||
| starling | |||
| 11.324743 | |||
|- | |- | ||
| 11 | |||
| 0-1-10-11 | |||
| 1-6/5-3/2-9/5 | |||
| ambitonal | |||
| 11.586371 | |||
|- | |- | ||
| 12 | |||
| 0-9-10-11 | |||
| 1-5/4-3/2-9/5 | |||
| starling | |||
| 11.807757 | |||
|- | |- | ||
| 13 | |||
| 0-2-3-13 | |||
| 1-10/7-12/7-9/7 | |||
| otonal | |||
| 13.002288 | |||
|- | |- | ||
| 14 | |||
| 0-3-10-13 | |||
| 1-12/7-3/2-9/7 | |||
| ambitonal | |||
| 13.171333 | |||
|- | |- | ||
| 15 | |||
| 0-2-11-13 | |||
| 1-10/7-9/5-9/7 | |||
| starling | |||
| 13.322632 | |||
|- | |- | ||
| 16 | |||
| 0-10-11-13 | |||
| 1-3/2-9/5-9/7 | |||
| utonal | |||
| 13.45956 | |||
|- | |- | ||
| 17 | |||
| 0-2-5-15 | |||
| 1-10/7-11/9-11/6 | |||
| swetismic | |||
| 15.001628 | |||
|- | |- | ||
| 18 | |||
| 0-5-10-15 | |||
| 1-11/9-3/2-11/6 | |||
| rastmic | |||
| 15.045802 | |||
|- | |- | ||
| 19 | |||
| 0-2-13-15 | |||
| 1-10/7-9/7-11/6 | |||
| swetismic | |||
| 15.322104 | |||
|- | |- | ||
| 20 | |||
| 0-10-13-15 | |||
| 1-3/2-9/7-11/6 | |||
| swetismic | |||
| 15.357586 | |||
|- | |- | ||
| 21 | |||
| 0-1-3-16 | |||
| 1-6/5-12/7-11/10 | |||
| swetismic | |||
| 16.000242 | |||
|- | |- | ||
| 22 | |||
| 0-3-5-16 | |||
| 1-12/7-11/9-11/10 | |||
| swetismic | |||
| 16.000902 | |||
|- | |- | ||
| 23 | |||
| 0-5-7-16 | |||
| 1-11/9-7/4-11/10 | |||
| thrush | |||
| 16.003540 | |||
|- | |- | ||
| 24 | |||
| 0-7-9-16 | |||
| 1-7/4-5/4-11/10 | |||
| valinorsmic | |||
| 16.014042 | |||
|- | |- | ||
| 25 | |||
| 0-1-11-16 | |||
| 1-6/5-9/5-11/10 | |||
| otonal | |||
| 16.044458 | |||
|- | |- | ||
| 26 | |||
| 0-9-11-16 | |||
| 1-5/4-9/5-11/10 | |||
| thrush | |||
| 16.055304 | |||
|- | |- | ||
| 27 | |||
| 0-3-13-16 | |||
| 1-12/7-9/7-11/10 | |||
| swetismic | |||
| 16.170101 | |||
|- | |- | ||
| 28 | |||
| 0-11-13-16 | |||
| 1-9/5-9/7-11/10 | |||
| swetismic | |||
| 16.209472 | |||
|- | |- | ||
| 29 | |||
| 0-5-15-16 | |||
| 1-11/9-11/6-11/10 | |||
| utonal | |||
| 16.585447 | |||
|- | |- | ||
| 30 | |||
| 0-13-15-16 | |||
| 1-9/7-11/6-11/10 | |||
| swetismic | |||
| 16.700453 | |||
|- | |- | ||
| 31 | |||
| 0-2-3-18 | |||
| 1-10/7-12/7-11/7 | |||
| otonal | |||
| 18.000072 | |||
|- | |- | ||
| 32 | |||
| 0-2-5-18 | |||
| 1-10/7-11/9-11/7 | |||
| swetismic | |||
| 18.000204 | |||
|- | |- | ||
| 33 | |||
| 0-3-5-18 | |||
| 1-12/7-11/9-11/7 | |||
| swetismic | |||
| 18.000226 | |||
|- | |- | ||
| 34 | |||
| 0-2-7-18 | |||
| 1-10/7-7/4-11/7 | |||
| werckismic | |||
| 18.000732 | |||
|- | |- | ||
| 35 | |||
| 0-5-7-18 | |||
| 1-11/9-7/4-11/7 | |||
| werckismic | |||
| 18.000886 | |||
|- | |- | ||
| 36 | |||
| 0-2-9-18 | |||
| 1-10/7-5/4-11/7 | |||
| valinorsmic | |||
| 18.002842 | |||
|- | |- | ||
| 37 | |||
| 0-7-9-18 | |||
| 1-7/4-5/4-11/7 | |||
| thrush | |||
| 18.003523 | |||
|- | |- | ||
| 38 | |||
| 0-2-11-18 | |||
| 1-10/7-9/5-11/7 | |||
| thrush | |||
| 18.011255 | |||
|- | |- | ||
| 39 | |||
| 0-9-11-18 | |||
| 1-5/4-9/5-11/7 | |||
| thrush | |||
| 18.014026 | |||
|- | |- | ||
| 40 | |||
| 0-2-13-18 | |||
| 1-10/7-9/7-11/7 | |||
| otonal | |||
| 18.044421 | |||
|- | |- | ||
| 41 | |||
| 0-3-13-18 | |||
| 1-12/7-9/7-11/7 | |||
| otonal | |||
| 18.044442 | |||
|- | |- | ||
| 42 | |||
| 0-11-13-18 | |||
| 1-9/5-9/7-11/7 | |||
| werckismic | |||
| 18.055288 | |||
|- | |- | ||
| 43 | |||
| 0-2-15-18 | |||
| 1-10/7-11/6-11/7 | |||
| swetismic | |||
| 18.169949 | |||
|- | |- | ||
| 44 | |||
| 0-5-15-18 | |||
| 1-11/9-11/6-11/7 | |||
| utonal | |||
| 18.170086 | |||
|- | |- | ||
| 45 | |||
| 0-13-15-18 | |||
| 1-9/7-11/6-11/7 | |||
| swetismic | |||
| 18.209458 | |||
|- | |- | ||
| 46 | |||
| 0-3-16-18 | |||
| 1-12/7-11/10-11/7 | |||
| swetismic | |||
| 18.321968 | |||
|- | |- | ||
| 47 | |||
| 0-5-16-18 | |||
| 1-11/9-11/10-11/7 | |||
| utonal | |||
| 18.322073 | |||
|- | |- | ||
| 48 | |||
| 0-7-16-18 | |||
| 1-7/4-11/10-11/7 | |||
| thrush | |||
| 18.322496 | |||
|- | |- | ||
| 49 | |||
| 0-9-16-18 | |||
| 1-5/4-11/10-11/7 | |||
| valinorsmic | |||
| 18.324185 | |||
|- | |- | ||
| 50 | |||
| 0-11-16-18 | |||
| 1-9/5-11/10-11/7 | |||
| werckismic | |||
| 18.330921 | |||
|- | |- | ||
| 51 | |||
| 0-13-16-18 | |||
| 1-9/7-11/10-11/7 | |||
| swetismic | |||
| 18.357556 | |||
|- | |- | ||
| 52 | |||
| 0-15-16-18 | |||
| 1-11/6-11/10-11/7 | |||
| utonal | |||
| 18.459436 | |||
|- | |- | ||
| 53 | |||
| 0-2-5-20 | |||
| 1-10/7-11/9-9/8 | |||
| jove | |||
| 20.000051 | |||
|- | |- | ||
| 54 | |||
| 0-2-7-20 | |||
| 1-10/7-7/4-9/8 | |||
| werckismic | |||
| 20.000183 | |||
|- | |- | ||
| 55 | |||
| 0-5-7-20 | |||
| 1-11/9-7/4-9/8 | |||
| jove | |||
| 20.000221 | |||
|- | |- | ||
| 56 | |||
| 0-2-9-20 | |||
| 1-10/7-5/4-9/8 | |||
| werckismic | |||
| 20.000711 | |||
|- | |- | ||
| 57 | |||
| 0-7-9-20 | |||
| 1-7/4-5/4-9/8 | |||
| otonal | |||
| 20.000882 | |||
|- | |- | ||
| 58 | |||
| 0-5-10-20 | |||
| 1-11/9-3/2-9/8 | |||
| rastmic | |||
| 20.001454 | |||
|- | |- | ||
| 59 | |||
| 0-7-10-20 | |||
| 1-7/4-3/2-9/8 | |||
| otonal | |||
| 20.001585 | |||
|- | |- | ||
| 60 | |||
| 0-9-10-20 | |||
| 1-5/4-3/2-9/8 | |||
| otonal | |||
| 20.002113 | |||
|- | |- | ||
| 61 | |||
| 0-2-11-20 | |||
| 1-10/7-9/5-9/8 | |||
| thrush | |||
| 20.002822 | |||
|- | |- | ||
| 62 | |||
| 0-9-11-20 | |||
| 1-5/4-9/5-9/8 | |||
| starling | |||
| 20.003519 | |||
|- | |- | ||
| 63 | |||
| 0-10-11-20 | |||
| 1-3/2-9/5-9/8 | |||
| utonal | |||
| 20.004222 | |||
|- | |- | ||
| 64 | |||
| 0-2-13-20 | |||
| 1-10/7-9/7-9/8 | |||
| werckismic | |||
| 20.011234 | |||
|- | |- | ||
| 65 | |||
| 0-10-13-20 | |||
| 1-3/2-9/7-9/8 | |||
| utonal | |||
| 20.012626 | |||
|- | |- | ||
| 66 | |||
| 0-11-13-20 | |||
| 1-9/5-9/7-9/8 | |||
| utonal | |||
| 20.014022 | |||
|- | |- | ||
| 67 | |||
| 0-2-15-20 | |||
| 1-10/7-11/6-9/8 | |||
| jove | |||
| 20.044401 | |||
|- | |- | ||
| 68 | |||
| 0-5-15-20 | |||
| 1-11/9-11/6-9/8 | |||
| rastmic | |||
| 20.044438 | |||
|- | |- | ||
| 69 | |||
| 0-10-15-20 | |||
| 1-3/2-11/6-9/8 | |||
| rastmic | |||
| 20.045761 | |||
|- | |- | ||
| 70 | |||
| 0-13-15-20 | |||
| 1-9/7-11/6-9/8 | |||
| jove | |||
| 20.055284 | |||
|- | |- | ||
| 71 | |||
| 0-2-18-20 | |||
| 1-10/7-11/7-9/8 | |||
| werckismic | |||
| 20.321934 | |||
|- | |- | ||
| 72 | |||
| 0-5-18-20 | |||
| 1-11/9-11/7-9/8 | |||
| jove | |||
| 20.321964 | |||
|- | |- | ||
| 73 | |||
| 0-7-18-20 | |||
| 1-7/4-11/7-9/8 | |||
| werckismic | |||
| 20.32207 | |||
|- | |- | ||
| 74 | |||
| 0-9-18-20 | |||
| 1-5/4-11/7-9/8 | |||
| thrush | |||
| 20.322493 | |||
|- | |- | ||
| 75 | |||
| 0-11-18-20 | |||
| 1-9/5-11/7-9/8 | |||
| werckismic | |||
| 20.324182 | |||
|- | |- | ||
| 76 | |||
| 0-13-18-20 | |||
| 1-9/7-11/7-9/8 | |||
| werckismic | |||
| 20.330918 | |||
|- | |- | ||
| 77 | |||
| 0-15-18-20 | |||
| 1-11/6-11/7-9/8 | |||
| jove | |||
| 20.357553 | |||
|- | |- | ||
| 78 | |||
| 0-5-7-25 | |||
| 1-11/9-7/4-11/8 | |||
| werckismic | |||
| 25.000007 | |||
|- | |- | ||
| 79 | |||
| 0-7-9-25 | |||
| 1-7/4-5/4-11/8 | |||
| otonal | |||
| 25.000028 | |||
|- | |- | ||
| 80 | |||
| 0-5-10-25 | |||
| 1-11/9-3/2-11/8 | |||
| rastmic | |||
| 25.000045 | |||
|- | |- | ||
| 81 | |||
| 0-7-10-25 | |||
| 1-7/4-3/2-11/8 | |||
| otonal | |||
| 25.00005 | |||
|- | |- | ||
| 82 | |||
| 0-9-10-25 | |||
| 1-5/4-3/2-11/8 | |||
| otonal | |||
| 25.000066 | |||
|- | |- | ||
| 83 | |||
| 0-5-15-25 | |||
| 1-11/9-11/6-11/8 | |||
| utonal | |||
| 25.001410 | |||
|- | |- | ||
| 84 | |||
| 0-10-15-25 | |||
| 1-3/2-11/6-11/8 | |||
| ambitonal | |||
| 25.001452 | |||
|- | |- | ||
| 85 | |||
| 0-5-16-25 | |||
| 1-11/9-11/10-11/8 | |||
| utonal | |||
| 25.002816 | |||
|- | |- | ||
| 86 | |||
| 0-7-16-25 | |||
| 1-7/4-11/10-11/8 | |||
| valinorsmic | |||
| 25.002821 | |||
|- | |- | ||
| 87 | |||
| 0-9-16-25 | |||
| 1-5/4-11/10-11/8 | |||
| valinorsmic | |||
| 25.002837 | |||
|- | |- | ||
| 88 | |||
| 0-15-16-25 | |||
| 1-11/6-11/10-11/8 | |||
| utonal | |||
| 25.004221 | |||
|- | |- | ||
| 89 | |||
| 0-5-18-25 | |||
| 1-11/9-11/7-11/8 | |||
| utonal | |||
| 25.011229 | |||
|- | |- | ||
| 90 | |||
| 0-7-18-25 | |||
| 1-7/4-11/7-11/8 | |||
| werckismic | |||
| 25.011233 | |||
|- | |- | ||
| 91 | |||
| 0-9-18-25 | |||
| 1-5/4-11/7-11/8 | |||
| valinorsmic | |||
| 25.011249 | |||
|- | |- | ||
| 92 | |||
| 0-15-18-25 | |||
| 1-11/6-11/7-11/8 | |||
| utonal | |||
| 25.012625 | |||
|- | |- | ||
| 93 | |||
| 0-16-18-25 | |||
| 1-11/10-11/7-11/8 | |||
| utonal | |||
| 25.014021 | |||
|- | |- | ||
| 94 | |||
| 0-5-20-25 | |||
| 1-11/9-9/8-11/8 | |||
| rastmic | |||
| 25.044395 | |||
|- | |- | ||
| 95 | |||
| 0-7-20-25 | |||
| 1-7/4-9/8-11/8 | |||
| otonal | |||
| 25.044399 | |||
|- | |- | ||
| 96 | |||
| 0-9-20-25 | |||
| 1-5/4-9/8-11/8 | |||
| otonal | |||
| 25.044416 | |||
|- | |- | ||
| 97 | |||
| 0-10-20-25 | |||
| 1-3/2-9/8-11/8 | |||
| otonal | |||
| 25.044437 | |||
|- | |- | ||
| 98 | |||
| 0-15-20-25 | |||
| 1-11/6-9/8-11/8 | |||
| rastmic | |||
| 25.045760 | |||
|- | |- | ||
| 99 | |||
| 0-18-20-25 | |||
| 1-11/7-9/8-11/8 | |||
| werckismic | |||
| 25.055282 | |||
|} | |} | ||
=Pentads= | == Pentads == | ||
{| class="wikitable" | {| class="wikitable center-1" | ||
|- | |- | ||
! # | |||
! Chord | |||
! Transversal | |||
! Type | |||
! Hash | |||
|- | |- | ||
| 1 | |||
| 0-2-3-5-18 | |||
| 1-10/7-12/7-11/9-11/7 | |||
| swetismic | |||
| 18.000248 | |||
|- | |- | ||
| 2 | |||
| 0-2-5-7-18 | |||
| 1-10/7-11/9-7/4-11/7 | |||
| jove | |||
| 18.000908 | |||
|- | |- | ||
| 3 | |||
| 0-2-7-9-18 | |||
| 1-10/7-7/4-5/4-11/7 | |||
| thrush | |||
| 18.003545 | |||
|- | |- | ||
| 4 | |||
| 0-2-9-11-18 | |||
| 1-10/7-5/4-9/5-11/7 | |||
| thrush | |||
| 18.014048 | |||
|- | |- | ||
| 5 | |||
| 0-2-3-13-18 | |||
| 1-10/7-12/7-9/7-11/7 | |||
| otonal | |||
| 18.044463 | |||
|- | |- | ||
| 6 | |||
| 0-2-11-13-18 | |||
| 1-10/7-9/5-9/7-11/7 | |||
| thrush | |||
| 18.055309 | |||
|- | |- | ||
| 7 | |||
| 0-2-5-15-18 | |||
| 1-10/7-11/9-11/6-11/7 | |||
| swetismic | |||
| 18.170106 | |||
|- | |- | ||
| 8 | |||
| 0-2-13-15-18 | |||
| 1-10/7-9/7-11/6-11/7 | |||
| swetismic | |||
| 18.209477 | |||
|- | |- | ||
| 9 | |||
| 0-3-5-16-18 | |||
| 1-12/7-11/9-11/10-11/7 | |||
| swetismic | |||
| 18.322109 | |||
|- | |- | ||
| 10 | |||
| 0-5-7-16-18 | |||
| 1-11/9-7/4-11/10-11/7 | |||
| thrush | |||
| 18.322637 | |||
|- | |- | ||
| 11 | |||
| 0-7-9-16-18 | |||
| 1-7/4-5/4-11/10-11/7 | |||
| thrush | |||
| 18.324748 | |||
|- | |- | ||
| 12 | |||
| 0-9-11-16-18 | |||
| 1-5/4-9/5-11/10-11/7 | |||
| thrush | |||
| 18.333160 | |||
|- | |- | ||
| 13 | |||
| 0-3-13-16-18 | |||
| 1-12/7-9/7-11/10-11/7 | |||
| swetismic | |||
| 18.357591 | |||
|- | |- | ||
| 14 | |||
| 0-11-13-16-18 | |||
| 1-9/5-9/7-11/10-11/7 | |||
| jove | |||
| 18.366326 | |||
|- | |- | ||
| 15 | |||
| 0-5-15-16-18 | |||
| 1-11/9-11/6-11/10-11/7 | |||
| utonal | |||
| 18.459564 | |||
|- | |- | ||
| 16 | |||
| 0-13-15-16-18 | |||
| 1-9/7-11/6-11/10-11/7 | |||
| swetismic | |||
| 18.491857 | |||
|- | |- | ||
| 17 | |||
| 0-2-5-7-20 | |||
| 1-10/7-11/9-7/4-9/8 | |||
| jove | |||
| 20.000227 | |||
|- | |- | ||
| 18 | |||
| 0-2-7-9-20 | |||
| 1-10/7-7/4-5/4-9/8 | |||
| werckismic | |||
| 20.000887 | |||
|- | |- | ||
| 19 | |||
| 0-5-7-10-20 | |||
| 1-11/9-7/4-3/2-9/8 | |||
| jove | |||
| 20.001629 | |||
|- | |- | ||
| 20 | |||
| 0-7-9-10-20 | |||
| 1-7/4-5/4-3/2-9/8 | |||
| otonal | |||
| 20.002289 | |||
|- | |- | ||
| 21 | |||
| 0-2-9-11-20 | |||
| 1-10/7-5/4-9/5-9/8 | |||
| thrush | |||
| 20.003525 | |||
|- | |- | ||
| 22 | |||
| 0-9-10-11-20 | |||
| 1-5/4-3/2-9/5-9/8 | |||
| starling | |||
| 20.004924 | |||
|- | |- | ||
| 23 | |||
| 0-2-11-13-20 | |||
| 1-10/7-9/5-9/7-9/8 | |||
| thrush | |||
| 20.014027 | |||
|- | |- | ||
| 24 | |||
| 0-10-11-13-20 | |||
| 1-3/2-9/5-9/7-9/8 | |||
| utonal | |||
| 20.015416 | |||
|- | |- | ||
| 25 | |||
| 0-2-5-15-20 | |||
| 1-10/7-11/9-11/6-9/8 | |||
| jove | |||
| 20.044443 | |||
|- | |- | ||
| 26 | |||
| 0-5-10-15-20 | |||
| 1-11/9-3/2-11/6-9/8 | |||
| rastmic | |||
| 20.045804 | |||
|- | |- | ||
| 27 | |||
| 0-2-13-15-20 | |||
| 1-10/7-9/7-11/6-9/8 | |||
| jove | |||
| 20.055289 | |||
|- | |- | ||
| 28 | |||
| 0-10-13-15-20 | |||
| 1-3/2-9/7-11/6-9/8 | |||
| jove | |||
| 20.056639 | |||
|- | |- | ||
| 29 | |||
| 0-2-5-18-20 | |||
| 1-10/7-11/9-11/7-9/8 | |||
| jove | |||
| 20.321969 | |||
|- | |- | ||
| 30 | |||
| 0-2-7-18-20 | |||
| 1-10/7-7/4-11/7-9/8 | |||
| werckismic | |||
| 20.322074 | |||
|- | |- | ||
| 31 | |||
| 0-5-7-18-20 | |||
| 1-11/9-7/4-11/7-9/8 | |||
| jove | |||
| 20.322105 | |||
|- | |- | ||
| 32 | |||
| 0-2-9-18-20 | |||
| 1-10/7-5/4-11/7-9/8 | |||
| thrush | |||
| 20.322497 | |||
|- | |- | ||
| 33 | |||
| 0-7-9-18-20 | |||
| 1-7/4-5/4-11/7-9/8 | |||
| thrush | |||
| 20.322633 | |||
|- | |- | ||
| 34 | |||
| 0-2-11-18-20 | |||
| 1-10/7-9/5-11/7-9/8 | |||
| thrush | |||
| 20.324186 | |||
|- | |- | ||
| 35 | |||
| 0-9-11-18-20 | |||
| 1-5/4-9/5-11/7-9/8 | |||
| thrush | |||
| 20.324744 | |||
|- | |- | ||
| 36 | |||
| 0-2-13-18-20 | |||
| 1-10/7-9/7-11/7-9/8 | |||
| werckismic | |||
| 20.330922 | |||
|- | |- | ||
| 37 | |||
| 0-11-13-18-20 | |||
| 1-9/5-9/7-11/7-9/8 | |||
| werckismic | |||
| 20.333156 | |||
|- | |- | ||
| 38 | |||
| 0-2-15-18-20 | |||
| 1-10/7-11/6-11/7-9/8 | |||
| jove | |||
| 20.357557 | |||
|- | |- | ||
| 39 | |||
| 0-5-15-18-20 | |||
| 1-11/9-11/6-11/7-9/8 | |||
| jove | |||
| 20.357587 | |||
|- | |- | ||
| 40 | |||
| 0-13-15-18-20 | |||
| 1-9/7-11/6-11/7-9/8 | |||
| jove | |||
| 20.366323 | |||
|- | |- | ||
| 41 | |||
| 0-5-7-10-25 | |||
| 1-11/9-7/4-3/2-11/8 | |||
| jove | |||
| 25.000051 | |||
|- | |- | ||
| 42 | |||
| 0-7-9-10-25 | |||
| 1-7/4-5/4-3/2-11/8 | |||
| otonal | |||
| 25.000072 | |||
|- | |- | ||
| 43 | |||
| 0-5-10-15-25 | |||
| 1-11/9-3/2-11/6-11/8 | |||
| rastmic | |||
| 25.001454 | |||
|- | |- | ||
| 44 | |||
| 0-5-7-16-25 | |||
| 1-11/9-7/4-11/10-11/8 | |||
| thrush | |||
| 25.002822 | |||
|- | |- | ||
| 45 | |||
| 0-7-9-16-25 | |||
| 1-7/4-5/4-11/10-11/8 | |||
| valinorsmic | |||
| 25.002843 | |||
|- | |- | ||
| 46 | |||
| 0-5-15-16-25 | |||
| 1-11/9-11/6-11/10-11/8 | |||
| utonal | |||
| 25.004222 | |||
|- | |- | ||
| 47 | |||
| 0-5-7-18-25 | |||
| 1-11/9-7/4-11/7-11/8 | |||
| werckismic | |||
| 25.011234 | |||
|- | |- | ||
| 48 | |||
| 0-7-9-18-25 | |||
| 1-7/4-5/4-11/7-11/8 | |||
| thrush | |||
| 25.011255 | |||
|- | |- | ||
| 49 | |||
| 0-5-15-18-25 | |||
| 1-11/9-11/6-11/7-11/8 | |||
| utonal | |||
| 25.012626 | |||
|- | |- | ||
| 50 | |||
| 0-5-16-18-25 | |||
| 1-11/9-11/10-11/7-11/8 | |||
| utonal | |||
| 25.014022 | |||
|- | |- | ||
| 51 | |||
| 0-7-16-18-25 | |||
| 1-7/4-11/10-11/7-11/8 | |||
| thrush | |||
| 25.014026 | |||
|- | |- | ||
| 52 | |||
| 0-9-16-18-25 | |||
| 1-5/4-11/10-11/7-11/8 | |||
| valinorsmic | |||
| 25.014042 | |||
|- | |- | ||
| 53 | |||
| 0-15-16-18-25 | |||
| 1-11/6-11/10-11/7-11/8 | |||
| utonal | |||
| 25.015415 | |||
|- | |- | ||
| 54 | |||
| 0-5-7-20-25 | |||
| 1-11/9-7/4-9/8-11/8 | |||
| jove | |||
| 25.044401 | |||
|- | |- | ||
| 55 | |||
| 0-7-9-20-25 | |||
| 1-7/4-5/4-9/8-11/8 | |||
| otonal | |||
| 25.044421 | |||
|- | |- | ||
| 56 | |||
| 0-5-10-20-25 | |||
| 1-11/9-3/2-9/8-11/8 | |||
| rastmic | |||
| 25.044438 | |||
|- | |- | ||
| 57 | |||
| 0-7-10-20-25 | |||
| 1-7/4-3/2-9/8-11/8 | |||
| otonal | |||
| 25.044442 | |||
|- | |- | ||
| 58 | |||
| 0-9-10-20-25 | |||
| 1-5/4-3/2-9/8-11/8 | |||
| otonal | |||
| 25.044458 | |||
|- | |- | ||
| 59 | |||
| 0-5-15-20-25 | |||
| 1-11/9-11/6-9/8-11/8 | |||
| rastmic | |||
| 25.045761 | |||
|- | |- | ||
| 60 | |||
| 0-10-15-20-25 | |||
| 1-3/2-11/6-9/8-11/8 | |||
| rastmic | |||
| 25.045802 | |||
|- | |- | ||
| 61 | |||
| 0-5-18-20-25 | |||
| 1-11/9-11/7-9/8-11/8 | |||
| jove | |||
| 25.055284 | |||
|- | |- | ||
| 62 | |||
| 0-7-18-20-25 | |||
| 1-7/4-11/7-9/8-11/8 | |||
| werckismic | |||
| 25.055288 | |||
|- | |- | ||
| 63 | |||
| 0-9-18-20-25 | |||
| 1-5/4-11/7-9/8-11/8 | |||
| thrush | |||
| 25.055304 | |||
|- | |- | ||
| 64 | |||
| 0-15-18-20-25 | |||
| 1-11/6-11/7-9/8-11/8 | |||
| jove | |||
| 25.056638 | |||
|} | |} | ||
=Hexads= | == Hexads == | ||
{| class="wikitable" | {| class="wikitable center-1" | ||
|- | |- | ||
! # | |||
! Chord | |||
! Transversal | |||
! Type | |||
! Hash | |||
|- | |- | ||
| 1 | |||
| 0-2-5-7-18-20 | |||
| 1-10/7-11/9-7/4-11/7-9/8 | |||
| jove | |||
| 20.322110 | |||
|- | |- | ||
| 2 | |||
| 0-2-7-9-18-20 | |||
| 1-10/7-7/4-5/4-11/7-9/8 | |||
| thrush | |||
| 20.322638 | |||
|- | |- | ||
| 3 | |||
| 0-2-9-11-18-20 | |||
| 1-10/7-5/4-9/5-11/7-9/8 | |||
| thrush | |||
| 20.324749 | |||
|- | |- | ||
| 4 | |||
| 0-2-11-13-18-20 | |||
| 1-10/7-9/5-9/7-11/7-9/8 | |||
| thrush | |||
| 20.333161 | |||
|- | |- | ||
| 5 | |||
| 0-2-5-15-18-20 | |||
| 1-10/7-11/9-11/6-11/7-9/8 | |||
| jove | |||
| 20.357592 | |||
|- | |- | ||
| 6 | |||
| 0-2-13-15-18-20 | |||
| 1-10/7-9/7-11/6-11/7-9/8 | |||
| jove | |||
| 20.366328 | |||
|- | |- | ||
| 7 | |||
| 0-5-7-16-18-25 | |||
| 1-11/9-7/4-11/10-11/7-11/8 | |||
| thrush | |||
| 25.014027 | |||
|- | |- | ||
| 8 | |||
| 0-7-9-16-18-25 | |||
| 1-7/4-5/4-11/10-11/7-11/8 | |||
| thrush | |||
| 25.014048 | |||
|- | |- | ||
| 9 | |||
| 0-5-15-16-18-25 | |||
| 1-11/9-11/6-11/10-11/7-11/8 | |||
| utonal | |||
| 25.015416 | |||
|- | |- | ||
| 10 | |||
| 0-5-7-10-20-25 | |||
| 1-11/9-7/4-3/2-9/8-11/8 | |||
| jove | |||
| 25.044444 | |||
|- | |- | ||
| 11 | |||
| 0-7-9-10-20-25 | |||
| 1-7/4-5/4-3/2-9/8-11/8 | |||
| otonal | |||
| 25.044464 | |||
|- | |- | ||
| 12 | |||
| 0-5-10-15-20-25 | |||
| 1-11/9-3/2-11/6-9/8-11/8 | |||
| rastmic | |||
| 25.045804 | |||
|- | |- | ||
| 13 | |||
| 0-5-7-18-20-25 | |||
| 1-11/9-7/4-11/7-9/8-11/8 | |||
| jove | |||
| 25.055289 | |||
|- | |- | ||
| 14 | |||
| 0-7-9-18-20-25 | |||
| 1-7/4-5/4-11/7-9/8-11/8 | |||
| thrush | |||
| 25.055309 | |||
|- | |- | ||
| 15 | |||
| 0-5-15-18-20-25 | |||
| 1-11/9-11/6-11/7-9/8-11/8 | |||
| jove | |||
| 25.056639 | |||
|} | |} | ||
[[Category:Chords]] | |||
[[Category:Myna]] | |||
[[Category:Triad]] | |||
[[Category:Tetrad]] | |||
[[Category:Pentad]] | |||
[[Category:Hexad]] | |||
Revision as of 06:18, 7 April 2021
Below are listed the dyadic chords of 11-limit myna temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 441/440 are werckismic, by 385/384 keenanismic, by 243/242 rastmic, by 176/175 valinorsmic, and by 126/125 starling. Those requiring tempering by any two of 441/440, 176/175 or 126/125 are labeled thrush, and those requiring any two of 540/539, 441/440 or 243/242 jove.
Triads
| # | Chord | Transversal | Type | Hash |
|---|---|---|---|---|
| 1 | 0-1-2 | 1-6/5-10/7 | starling | 2.807355 |
| 2 | 0-1-3 | 1-6/5-12/7 | utonal | 3.459432 |
| 3 | 0-2-3 | 1-10/7-12/7 | otonal | 3.700440 |
| 4 | 0-2-5 | 1-10/7-11/9 | swetismic | 5.209453 |
| 5 | 0-3-5 | 1-12/7-11/9 | swetismic | 5.357552 |
| 6 | 0-2-7 | 1-10/7-7/4 | werckismic | 7.055282 |
| 7 | 0-5-7 | 1-11/9-7/4 | werckismic | 7.330917 |
| 8 | 0-2-9 | 1-10/7-5/4 | utonal | 9.014020 |
| 9 | 0-7-9 | 1-7/4-5/4 | otonal | 9.324181 |
| 10 | 0-1-10 | 1-6/5-3/2 | utonal | 10.004220 |
| 11 | 0-3-10 | 1-12/7-3/2 | utonal | 10.012625 |
| 12 | 0-5-10 | 1-11/9-3/2 | rastmic | 10.045760 |
| 13 | 0-7-10 | 1-7/4-3/2 | otonal | 10.171177 |
| 14 | 0-9-10 | 1-5/4-3/2 | otonal | 10.585901 |
| 15 | 0-1-11 | 1-6/5-9/5 | otonal | 11.002112 |
| 16 | 0-2-11 | 1-10/7-9/5 | starling | 11.003518 |
| 17 | 0-9-11 | 1-5/4-9/5 | starling | 11.322492 |
| 18 | 0-10-11 | 1-3/2-9/5 | utonal | 11.585432 |
| 19 | 0-2-13 | 1-10/7-9/7 | otonal | 13.000880 |
| 20 | 0-3-13 | 1-12/7-9/7 | otonal | 13.001584 |
| 21 | 0-10-13 | 1-3/2-9/7 | utonal | 13.170082 |
| 22 | 0-11-13 | 1-9/5-9/7 | utonal | 13.322069 |
| 23 | 0-2-15 | 1-10/7-11/6 | swetismic | 15.000220 |
| 24 | 0-5-15 | 1-11/9-11/6 | utonal | 15.001452 |
| 25 | 0-10-15 | 1-3/2-11/6 | otonal | 15.044437 |
| 26 | 0-13-15 | 1-9/7-11/6 | swetismic | 15.321963 |
| 27 | 0-1-16 | 1-6/5-11/10 | otonal | 16.000066 |
| 28 | 0-3-16 | 1-12/7-11/10 | swetismic | 16.000190 |
| 29 | 0-5-16 | 1-11/9-11/10 | utonal | 16.000726 |
| 30 | 0-7-16 | 1-7/4-11/10 | valinorsmic | 16.002837 |
| 31 | 0-9-16 | 1-5/4-11/10 | valinorsmic | 16.011249 |
| 32 | 0-11-16 | 1-9/5-11/10 | otonal | 16.044415 |
| 33 | 0-13-16 | 1-9/7-11/10 | swetismic | 16.169946 |
| 34 | 0-15-16 | 1-11/6-11/10 | utonal | 16.584977 |
| 35 | 0-2-18 | 1-10/7-11/7 | otonal | 18.000028 |
| 36 | 0-3-18 | 1-12/7-11/7 | otonal | 18.000050 |
| 37 | 0-5-18 | 1-11/9-11/7 | utonal | 18.000182 |
| 38 | 0-7-18 | 1-7/4-11/7 | werckismic | 18.000710 |
| 39 | 0-9-18 | 1-5/4-11/7 | valinorsmic | 18.002821 |
| 40 | 0-11-18 | 1-9/5-11/7 | werckismic | 18.011233 |
| 41 | 0-13-18 | 1-9/7-11/7 | otonal | 18.044399 |
| 42 | 0-15-18 | 1-11/6-11/7 | utonal | 18.169930 |
| 43 | 0-16-18 | 1-11/10-11/7 | utonal | 18.321932 |
| 44 | 0-2-20 | 1-10/7-9/8 | werckismic | 20.000007 |
| 45 | 0-5-20 | 1-11/9-9/8 | rastmic | 20.000045 |
| 46 | 0-7-20 | 1-7/4-9/8 | otonal | 20.000177 |
| 47 | 0-9-20 | 1-5/4-9/8 | otonal | 20.000706 |
| 48 | 0-10-20 | 1-3/2-9/8 | ambitonal | 20.001410 |
| 49 | 0-11-20 | 1-9/5-9/8 | utonal | 20.002816 |
| 50 | 0-13-20 | 1-9/7-9/8 | utonal | 20.011229 |
| 51 | 0-15-20 | 1-11/6-9/8 | rastmic | 20.044395 |
| 52 | 0-18-20 | 1-11/7-9/8 | werckismic | 20.321929 |
| 53 | 0-5-25 | 1-11/9-11/8 | utonal | 25.000001 |
| 54 | 0-7-25 | 1-7/4-11/8 | otonal | 25.000006 |
| 55 | 0-9-25 | 1-5/4-11/8 | otonal | 25.000022 |
| 56 | 0-10-25 | 1-3/2-11/8 | otonal | 25.000044 |
| 57 | 0-15-25 | 1-11/6-11/8 | utonal | 25.001408 |
| 58 | 0-16-25 | 1-11/10-11/8 | utonal | 25.002815 |
| 59 | 0-18-25 | 1-11/7-11/8 | utonal | 25.011227 |
| 60 | 0-20-25 | 1-9/8-11/8 | otonal | 25.044394 |
Tetrads
| # | Chord | Transversal | Type | Hash |
|---|---|---|---|---|
| 1 | 0-1-2-3 | 1-6/5-10/7-12/7 | starling | 3.906891 |
| 2 | 0-2-3-5 | 1-10/7-12/7-11/9 | swetismic | 5.491853 |
| 3 | 0-2-5-7 | 1-10/7-11/9-7/4 | jove | 7.366322 |
| 4 | 0-2-7-9 | 1-10/7-7/4-5/4 | werckismic | 9.333155 |
| 5 | 0-1-3-10 | 1-6/5-12/7-3/2 | utonal | 10.015415 |
| 6 | 0-3-5-10 | 1-12/7-11/9-3/2 | jove | 10.056638 |
| 7 | 0-5-7-10 | 1-11/9-7/4-3/2 | jove | 10.210671 |
| 8 | 0-7-9-10 | 1-7/4-5/4-3/2 | otonal | 10.701306 |
| 9 | 0-1-2-11 | 1-6/5-10/7-9/5 | starling | 11.004923 |
| 10 | 0-2-9-11 | 1-10/7-5/4-9/5 | starling | 11.324743 |
| 11 | 0-1-10-11 | 1-6/5-3/2-9/5 | ambitonal | 11.586371 |
| 12 | 0-9-10-11 | 1-5/4-3/2-9/5 | starling | 11.807757 |
| 13 | 0-2-3-13 | 1-10/7-12/7-9/7 | otonal | 13.002288 |
| 14 | 0-3-10-13 | 1-12/7-3/2-9/7 | ambitonal | 13.171333 |
| 15 | 0-2-11-13 | 1-10/7-9/5-9/7 | starling | 13.322632 |
| 16 | 0-10-11-13 | 1-3/2-9/5-9/7 | utonal | 13.45956 |
| 17 | 0-2-5-15 | 1-10/7-11/9-11/6 | swetismic | 15.001628 |
| 18 | 0-5-10-15 | 1-11/9-3/2-11/6 | rastmic | 15.045802 |
| 19 | 0-2-13-15 | 1-10/7-9/7-11/6 | swetismic | 15.322104 |
| 20 | 0-10-13-15 | 1-3/2-9/7-11/6 | swetismic | 15.357586 |
| 21 | 0-1-3-16 | 1-6/5-12/7-11/10 | swetismic | 16.000242 |
| 22 | 0-3-5-16 | 1-12/7-11/9-11/10 | swetismic | 16.000902 |
| 23 | 0-5-7-16 | 1-11/9-7/4-11/10 | thrush | 16.003540 |
| 24 | 0-7-9-16 | 1-7/4-5/4-11/10 | valinorsmic | 16.014042 |
| 25 | 0-1-11-16 | 1-6/5-9/5-11/10 | otonal | 16.044458 |
| 26 | 0-9-11-16 | 1-5/4-9/5-11/10 | thrush | 16.055304 |
| 27 | 0-3-13-16 | 1-12/7-9/7-11/10 | swetismic | 16.170101 |
| 28 | 0-11-13-16 | 1-9/5-9/7-11/10 | swetismic | 16.209472 |
| 29 | 0-5-15-16 | 1-11/9-11/6-11/10 | utonal | 16.585447 |
| 30 | 0-13-15-16 | 1-9/7-11/6-11/10 | swetismic | 16.700453 |
| 31 | 0-2-3-18 | 1-10/7-12/7-11/7 | otonal | 18.000072 |
| 32 | 0-2-5-18 | 1-10/7-11/9-11/7 | swetismic | 18.000204 |
| 33 | 0-3-5-18 | 1-12/7-11/9-11/7 | swetismic | 18.000226 |
| 34 | 0-2-7-18 | 1-10/7-7/4-11/7 | werckismic | 18.000732 |
| 35 | 0-5-7-18 | 1-11/9-7/4-11/7 | werckismic | 18.000886 |
| 36 | 0-2-9-18 | 1-10/7-5/4-11/7 | valinorsmic | 18.002842 |
| 37 | 0-7-9-18 | 1-7/4-5/4-11/7 | thrush | 18.003523 |
| 38 | 0-2-11-18 | 1-10/7-9/5-11/7 | thrush | 18.011255 |
| 39 | 0-9-11-18 | 1-5/4-9/5-11/7 | thrush | 18.014026 |
| 40 | 0-2-13-18 | 1-10/7-9/7-11/7 | otonal | 18.044421 |
| 41 | 0-3-13-18 | 1-12/7-9/7-11/7 | otonal | 18.044442 |
| 42 | 0-11-13-18 | 1-9/5-9/7-11/7 | werckismic | 18.055288 |
| 43 | 0-2-15-18 | 1-10/7-11/6-11/7 | swetismic | 18.169949 |
| 44 | 0-5-15-18 | 1-11/9-11/6-11/7 | utonal | 18.170086 |
| 45 | 0-13-15-18 | 1-9/7-11/6-11/7 | swetismic | 18.209458 |
| 46 | 0-3-16-18 | 1-12/7-11/10-11/7 | swetismic | 18.321968 |
| 47 | 0-5-16-18 | 1-11/9-11/10-11/7 | utonal | 18.322073 |
| 48 | 0-7-16-18 | 1-7/4-11/10-11/7 | thrush | 18.322496 |
| 49 | 0-9-16-18 | 1-5/4-11/10-11/7 | valinorsmic | 18.324185 |
| 50 | 0-11-16-18 | 1-9/5-11/10-11/7 | werckismic | 18.330921 |
| 51 | 0-13-16-18 | 1-9/7-11/10-11/7 | swetismic | 18.357556 |
| 52 | 0-15-16-18 | 1-11/6-11/10-11/7 | utonal | 18.459436 |
| 53 | 0-2-5-20 | 1-10/7-11/9-9/8 | jove | 20.000051 |
| 54 | 0-2-7-20 | 1-10/7-7/4-9/8 | werckismic | 20.000183 |
| 55 | 0-5-7-20 | 1-11/9-7/4-9/8 | jove | 20.000221 |
| 56 | 0-2-9-20 | 1-10/7-5/4-9/8 | werckismic | 20.000711 |
| 57 | 0-7-9-20 | 1-7/4-5/4-9/8 | otonal | 20.000882 |
| 58 | 0-5-10-20 | 1-11/9-3/2-9/8 | rastmic | 20.001454 |
| 59 | 0-7-10-20 | 1-7/4-3/2-9/8 | otonal | 20.001585 |
| 60 | 0-9-10-20 | 1-5/4-3/2-9/8 | otonal | 20.002113 |
| 61 | 0-2-11-20 | 1-10/7-9/5-9/8 | thrush | 20.002822 |
| 62 | 0-9-11-20 | 1-5/4-9/5-9/8 | starling | 20.003519 |
| 63 | 0-10-11-20 | 1-3/2-9/5-9/8 | utonal | 20.004222 |
| 64 | 0-2-13-20 | 1-10/7-9/7-9/8 | werckismic | 20.011234 |
| 65 | 0-10-13-20 | 1-3/2-9/7-9/8 | utonal | 20.012626 |
| 66 | 0-11-13-20 | 1-9/5-9/7-9/8 | utonal | 20.014022 |
| 67 | 0-2-15-20 | 1-10/7-11/6-9/8 | jove | 20.044401 |
| 68 | 0-5-15-20 | 1-11/9-11/6-9/8 | rastmic | 20.044438 |
| 69 | 0-10-15-20 | 1-3/2-11/6-9/8 | rastmic | 20.045761 |
| 70 | 0-13-15-20 | 1-9/7-11/6-9/8 | jove | 20.055284 |
| 71 | 0-2-18-20 | 1-10/7-11/7-9/8 | werckismic | 20.321934 |
| 72 | 0-5-18-20 | 1-11/9-11/7-9/8 | jove | 20.321964 |
| 73 | 0-7-18-20 | 1-7/4-11/7-9/8 | werckismic | 20.32207 |
| 74 | 0-9-18-20 | 1-5/4-11/7-9/8 | thrush | 20.322493 |
| 75 | 0-11-18-20 | 1-9/5-11/7-9/8 | werckismic | 20.324182 |
| 76 | 0-13-18-20 | 1-9/7-11/7-9/8 | werckismic | 20.330918 |
| 77 | 0-15-18-20 | 1-11/6-11/7-9/8 | jove | 20.357553 |
| 78 | 0-5-7-25 | 1-11/9-7/4-11/8 | werckismic | 25.000007 |
| 79 | 0-7-9-25 | 1-7/4-5/4-11/8 | otonal | 25.000028 |
| 80 | 0-5-10-25 | 1-11/9-3/2-11/8 | rastmic | 25.000045 |
| 81 | 0-7-10-25 | 1-7/4-3/2-11/8 | otonal | 25.00005 |
| 82 | 0-9-10-25 | 1-5/4-3/2-11/8 | otonal | 25.000066 |
| 83 | 0-5-15-25 | 1-11/9-11/6-11/8 | utonal | 25.001410 |
| 84 | 0-10-15-25 | 1-3/2-11/6-11/8 | ambitonal | 25.001452 |
| 85 | 0-5-16-25 | 1-11/9-11/10-11/8 | utonal | 25.002816 |
| 86 | 0-7-16-25 | 1-7/4-11/10-11/8 | valinorsmic | 25.002821 |
| 87 | 0-9-16-25 | 1-5/4-11/10-11/8 | valinorsmic | 25.002837 |
| 88 | 0-15-16-25 | 1-11/6-11/10-11/8 | utonal | 25.004221 |
| 89 | 0-5-18-25 | 1-11/9-11/7-11/8 | utonal | 25.011229 |
| 90 | 0-7-18-25 | 1-7/4-11/7-11/8 | werckismic | 25.011233 |
| 91 | 0-9-18-25 | 1-5/4-11/7-11/8 | valinorsmic | 25.011249 |
| 92 | 0-15-18-25 | 1-11/6-11/7-11/8 | utonal | 25.012625 |
| 93 | 0-16-18-25 | 1-11/10-11/7-11/8 | utonal | 25.014021 |
| 94 | 0-5-20-25 | 1-11/9-9/8-11/8 | rastmic | 25.044395 |
| 95 | 0-7-20-25 | 1-7/4-9/8-11/8 | otonal | 25.044399 |
| 96 | 0-9-20-25 | 1-5/4-9/8-11/8 | otonal | 25.044416 |
| 97 | 0-10-20-25 | 1-3/2-9/8-11/8 | otonal | 25.044437 |
| 98 | 0-15-20-25 | 1-11/6-9/8-11/8 | rastmic | 25.045760 |
| 99 | 0-18-20-25 | 1-11/7-9/8-11/8 | werckismic | 25.055282 |
Pentads
| # | Chord | Transversal | Type | Hash |
|---|---|---|---|---|
| 1 | 0-2-3-5-18 | 1-10/7-12/7-11/9-11/7 | swetismic | 18.000248 |
| 2 | 0-2-5-7-18 | 1-10/7-11/9-7/4-11/7 | jove | 18.000908 |
| 3 | 0-2-7-9-18 | 1-10/7-7/4-5/4-11/7 | thrush | 18.003545 |
| 4 | 0-2-9-11-18 | 1-10/7-5/4-9/5-11/7 | thrush | 18.014048 |
| 5 | 0-2-3-13-18 | 1-10/7-12/7-9/7-11/7 | otonal | 18.044463 |
| 6 | 0-2-11-13-18 | 1-10/7-9/5-9/7-11/7 | thrush | 18.055309 |
| 7 | 0-2-5-15-18 | 1-10/7-11/9-11/6-11/7 | swetismic | 18.170106 |
| 8 | 0-2-13-15-18 | 1-10/7-9/7-11/6-11/7 | swetismic | 18.209477 |
| 9 | 0-3-5-16-18 | 1-12/7-11/9-11/10-11/7 | swetismic | 18.322109 |
| 10 | 0-5-7-16-18 | 1-11/9-7/4-11/10-11/7 | thrush | 18.322637 |
| 11 | 0-7-9-16-18 | 1-7/4-5/4-11/10-11/7 | thrush | 18.324748 |
| 12 | 0-9-11-16-18 | 1-5/4-9/5-11/10-11/7 | thrush | 18.333160 |
| 13 | 0-3-13-16-18 | 1-12/7-9/7-11/10-11/7 | swetismic | 18.357591 |
| 14 | 0-11-13-16-18 | 1-9/5-9/7-11/10-11/7 | jove | 18.366326 |
| 15 | 0-5-15-16-18 | 1-11/9-11/6-11/10-11/7 | utonal | 18.459564 |
| 16 | 0-13-15-16-18 | 1-9/7-11/6-11/10-11/7 | swetismic | 18.491857 |
| 17 | 0-2-5-7-20 | 1-10/7-11/9-7/4-9/8 | jove | 20.000227 |
| 18 | 0-2-7-9-20 | 1-10/7-7/4-5/4-9/8 | werckismic | 20.000887 |
| 19 | 0-5-7-10-20 | 1-11/9-7/4-3/2-9/8 | jove | 20.001629 |
| 20 | 0-7-9-10-20 | 1-7/4-5/4-3/2-9/8 | otonal | 20.002289 |
| 21 | 0-2-9-11-20 | 1-10/7-5/4-9/5-9/8 | thrush | 20.003525 |
| 22 | 0-9-10-11-20 | 1-5/4-3/2-9/5-9/8 | starling | 20.004924 |
| 23 | 0-2-11-13-20 | 1-10/7-9/5-9/7-9/8 | thrush | 20.014027 |
| 24 | 0-10-11-13-20 | 1-3/2-9/5-9/7-9/8 | utonal | 20.015416 |
| 25 | 0-2-5-15-20 | 1-10/7-11/9-11/6-9/8 | jove | 20.044443 |
| 26 | 0-5-10-15-20 | 1-11/9-3/2-11/6-9/8 | rastmic | 20.045804 |
| 27 | 0-2-13-15-20 | 1-10/7-9/7-11/6-9/8 | jove | 20.055289 |
| 28 | 0-10-13-15-20 | 1-3/2-9/7-11/6-9/8 | jove | 20.056639 |
| 29 | 0-2-5-18-20 | 1-10/7-11/9-11/7-9/8 | jove | 20.321969 |
| 30 | 0-2-7-18-20 | 1-10/7-7/4-11/7-9/8 | werckismic | 20.322074 |
| 31 | 0-5-7-18-20 | 1-11/9-7/4-11/7-9/8 | jove | 20.322105 |
| 32 | 0-2-9-18-20 | 1-10/7-5/4-11/7-9/8 | thrush | 20.322497 |
| 33 | 0-7-9-18-20 | 1-7/4-5/4-11/7-9/8 | thrush | 20.322633 |
| 34 | 0-2-11-18-20 | 1-10/7-9/5-11/7-9/8 | thrush | 20.324186 |
| 35 | 0-9-11-18-20 | 1-5/4-9/5-11/7-9/8 | thrush | 20.324744 |
| 36 | 0-2-13-18-20 | 1-10/7-9/7-11/7-9/8 | werckismic | 20.330922 |
| 37 | 0-11-13-18-20 | 1-9/5-9/7-11/7-9/8 | werckismic | 20.333156 |
| 38 | 0-2-15-18-20 | 1-10/7-11/6-11/7-9/8 | jove | 20.357557 |
| 39 | 0-5-15-18-20 | 1-11/9-11/6-11/7-9/8 | jove | 20.357587 |
| 40 | 0-13-15-18-20 | 1-9/7-11/6-11/7-9/8 | jove | 20.366323 |
| 41 | 0-5-7-10-25 | 1-11/9-7/4-3/2-11/8 | jove | 25.000051 |
| 42 | 0-7-9-10-25 | 1-7/4-5/4-3/2-11/8 | otonal | 25.000072 |
| 43 | 0-5-10-15-25 | 1-11/9-3/2-11/6-11/8 | rastmic | 25.001454 |
| 44 | 0-5-7-16-25 | 1-11/9-7/4-11/10-11/8 | thrush | 25.002822 |
| 45 | 0-7-9-16-25 | 1-7/4-5/4-11/10-11/8 | valinorsmic | 25.002843 |
| 46 | 0-5-15-16-25 | 1-11/9-11/6-11/10-11/8 | utonal | 25.004222 |
| 47 | 0-5-7-18-25 | 1-11/9-7/4-11/7-11/8 | werckismic | 25.011234 |
| 48 | 0-7-9-18-25 | 1-7/4-5/4-11/7-11/8 | thrush | 25.011255 |
| 49 | 0-5-15-18-25 | 1-11/9-11/6-11/7-11/8 | utonal | 25.012626 |
| 50 | 0-5-16-18-25 | 1-11/9-11/10-11/7-11/8 | utonal | 25.014022 |
| 51 | 0-7-16-18-25 | 1-7/4-11/10-11/7-11/8 | thrush | 25.014026 |
| 52 | 0-9-16-18-25 | 1-5/4-11/10-11/7-11/8 | valinorsmic | 25.014042 |
| 53 | 0-15-16-18-25 | 1-11/6-11/10-11/7-11/8 | utonal | 25.015415 |
| 54 | 0-5-7-20-25 | 1-11/9-7/4-9/8-11/8 | jove | 25.044401 |
| 55 | 0-7-9-20-25 | 1-7/4-5/4-9/8-11/8 | otonal | 25.044421 |
| 56 | 0-5-10-20-25 | 1-11/9-3/2-9/8-11/8 | rastmic | 25.044438 |
| 57 | 0-7-10-20-25 | 1-7/4-3/2-9/8-11/8 | otonal | 25.044442 |
| 58 | 0-9-10-20-25 | 1-5/4-3/2-9/8-11/8 | otonal | 25.044458 |
| 59 | 0-5-15-20-25 | 1-11/9-11/6-9/8-11/8 | rastmic | 25.045761 |
| 60 | 0-10-15-20-25 | 1-3/2-11/6-9/8-11/8 | rastmic | 25.045802 |
| 61 | 0-5-18-20-25 | 1-11/9-11/7-9/8-11/8 | jove | 25.055284 |
| 62 | 0-7-18-20-25 | 1-7/4-11/7-9/8-11/8 | werckismic | 25.055288 |
| 63 | 0-9-18-20-25 | 1-5/4-11/7-9/8-11/8 | thrush | 25.055304 |
| 64 | 0-15-18-20-25 | 1-11/6-11/7-9/8-11/8 | jove | 25.056638 |
Hexads
| # | Chord | Transversal | Type | Hash |
|---|---|---|---|---|
| 1 | 0-2-5-7-18-20 | 1-10/7-11/9-7/4-11/7-9/8 | jove | 20.322110 |
| 2 | 0-2-7-9-18-20 | 1-10/7-7/4-5/4-11/7-9/8 | thrush | 20.322638 |
| 3 | 0-2-9-11-18-20 | 1-10/7-5/4-9/5-11/7-9/8 | thrush | 20.324749 |
| 4 | 0-2-11-13-18-20 | 1-10/7-9/5-9/7-11/7-9/8 | thrush | 20.333161 |
| 5 | 0-2-5-15-18-20 | 1-10/7-11/9-11/6-11/7-9/8 | jove | 20.357592 |
| 6 | 0-2-13-15-18-20 | 1-10/7-9/7-11/6-11/7-9/8 | jove | 20.366328 |
| 7 | 0-5-7-16-18-25 | 1-11/9-7/4-11/10-11/7-11/8 | thrush | 25.014027 |
| 8 | 0-7-9-16-18-25 | 1-7/4-5/4-11/10-11/7-11/8 | thrush | 25.014048 |
| 9 | 0-5-15-16-18-25 | 1-11/9-11/6-11/10-11/7-11/8 | utonal | 25.015416 |
| 10 | 0-5-7-10-20-25 | 1-11/9-7/4-3/2-9/8-11/8 | jove | 25.044444 |
| 11 | 0-7-9-10-20-25 | 1-7/4-5/4-3/2-9/8-11/8 | otonal | 25.044464 |
| 12 | 0-5-10-15-20-25 | 1-11/9-3/2-11/6-9/8-11/8 | rastmic | 25.045804 |
| 13 | 0-5-7-18-20-25 | 1-11/9-7/4-11/7-9/8-11/8 | jove | 25.055289 |
| 14 | 0-7-9-18-20-25 | 1-7/4-5/4-11/7-9/8-11/8 | thrush | 25.055309 |
| 15 | 0-5-15-18-20-25 | 1-11/9-11/6-11/7-9/8-11/8 | jove | 25.056639 |