User:FloraC/Sandbox: Difference between revisions
mNo edit summary |
|||
| (183 intermediate revisions by 3 users not shown) | |||
| Line 1: | Line 1: | ||
== | == Accidentals == | ||
; Wiki templates : {{Flat}} {{natural}} {{sharp}} | |||
; Unicode characters : ♭ ♮ ♯ | |||
; Bravura font : <span class="bravura"></span> <span class="bravura"></span> <span class="bravura"></span> | |||
; Heji font : <span class="heji">e</span> <span class="heji">n</span> <span class="heji">v</span> | |||
== Template: Temperament data == | |||
{{User:FloraC/Temperament data | |||
| Subgroup = 2.3.5.7 | |||
| Comma list = 81/80, 126/125 | |||
| Mapping = {{mapping| 1 0 -4 -13 | 0 1 4 10 }} | |||
| Mapping generators = ~2, ~3 | |||
| CTE = ~3/2 = 696.9521 | |||
| Wedgie = 1 4 10 4 13 12 | |||
| Optimal ET sequence = 12, 19, 31, 81, 112b, 143b | |||
| Badness = 0.0137 | |||
}} | |||
{| class=" | == Catalog of 5-limit rank-2 temperaments == | ||
! | Sintel's TE logflat badness. | ||
! | Error > 25{{c}}, badness < 3 | ||
{| class="wikitable sortable center-2 center-3 center-4" | |||
|- | |||
! Temperament !! Complexity !! Error (¢) !! Badness !! Mapping !! Comma list | |||
|- | |||
| || 2.63 || 40.1 || .392 || {{mapping| 1 0 -1 | 0 1 2 }} || 10/9 | |||
|- | |||
| Antitonic || 2.83 || 41.6 || .508 || {{mapping| 2 3 0 | 0 0 1 }} || 9/8 | |||
|- | |||
| University || 5.59 || 25.3 || 2.39 || {{mapping| 1 1 2 | 0 3 2 }} || 144/125 | |||
|} | |||
Complexity < 30, error < 25{{c}}, badness < 3 | |||
{| class="wikitable sortable center-2 center-3 center-4" | |||
|- | |||
! Temperament !! Complexity !! Error (¢) !! Badness !! Mapping !! Comma list | |||
|- | |||
| Father || 3.17 || 20.4 || .349 || {{mapping| 1 0 4 | 0 1 -1 }} || 16/15 | |||
|- | |||
| Dicot || 3.73 || 11.0 || .306 || {{mapping| 1 1 2 | 0 2 1 }} || 25/24 | |||
|- | |||
| Bug || 4.30 || 17.9 || .769 || {{mapping| 1 0 0 | 0 2 3 }} || 27/25 | |||
|- | |||
| Meantone || 5.08 || 2.44 || .173 || {{mapping| 1 0 -4 | 0 1 4 }} || 81/80 | |||
|- | |||
| Mavila || 5.68 || 9.36 || .928 || {{mapping| 1 0 7 | 0 1 -3 }} || 135/128 | |||
|- | |||
| Augmented || 6.40 || 3.71 || .523 || {{mapping| 3 0 7 | 0 1 0 }} || 128/125 | |||
|- | |||
| Porcupine || 6.86 || 4.14 || .722 || {{mapping| 1 2 3 | 0 3 5 }} || 250/243 | |||
|- | |||
| Blackwood || 7.29 || 7.14 || 1.50 || {{mapping| 5 8 0 | 0 0 1 }} || 256/243 | |||
|- | |||
| Diminished || 7.54 || 4.79 || 1.11 || {{mapping| 4 0 3 | 0 1 1 }} || 648/625 | |||
|- | |||
| Supersharp || 7.58 || 12.3 || 2.88 || {{mapping| 2 0 -5 | 0 1 3 }} || 800/729 | |||
|- | |||
| Diaschismic || 8.76 || 1.29 || .467 || {{mapping| 2 0 11 | 0 1 -2 }} || 2048/2025 | |||
|- | |||
| Magic || 9.98 || 1.71 || .919 || {{mapping| 1 0 2 | 0 5 1 }} || 3125/3072 | |||
|- | |||
| Hanson || 11.1 || .422 || .310 || {{mapping| 1 0 1 | 0 6 5 }} || 15625/15552 | |||
|- | |||
| Negri || 11.3 || 2.61 || 2.04 || {{mapping| 1 2 2 | 0 4 -3 }} || 16875/16384 | |||
|- | |||
| Tetracot || 11.5 || 1.39 || 1.14 || {{mapping| 1 1 1 | 0 4 9 }} || 20000/19683 | |||
|- | |||
| Helmholtz || 12.8 || .0881 || .0999 || {{mapping| 1 0 15 | 0 1 -8 }} || 32805/32768 | |||
|- | |- | ||
| | | Sensipent || 14.1 || .550 || .826 || {{mapping| 1 6 8 | 0 7 9 }} || 78732/78125 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Würschmidt || 16.3 || .404 || .952 || {{mapping| 1 7 3 | 0 8 1 }} || 393216/390625 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Amity || 16.4 || .217 || .515 || {{mapping| 1 3 6 | 0 5 13 }} || 1600000/1594323 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| 5 | | Valentine || 16.7 || 1.14 || 2.88 || {{mapping| 1 1 2 | 0 9 5 }} || 1990656/1953125 | ||
| | |||
|- | |- | ||
| | | Compton || 17.4 || .778 || 2.22 || {{mapping| 12 19 0 | 0 0 1 }} || 531441/524288 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| 5 | | Orson || 17.5 || .332 || .957 || {{mapping| 1 0 3 | 0 7 -3 }} || 2109375/2097152 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Misty || 21.3 || .476 || 2.50 || {{mapping| 3 0 26 | 0 1 -4 }} || 67108864/66430125 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Gravity || 21.4 || .415 || 2.19 || {{mapping| 1 5 12 | 0 6 17 }} || 129140163/128000000 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Parakleismic || 24.8 || .123 || 1.02 || {{mapping| 1 5 6 | 0 13 14 }} || {{monzo| 8 14 -13 }} | ||
| | |||
|- | |- | ||
| | | Quartonic || 24.9 || .331 || 2.75 || {{mapping| 1 2 3 | 0 11 18 }} || {{monzo| 3 -18 11 }} | ||
| | |||
| | |||
| | |||
|- | |- | ||
| 7 | | Escapade || 25.8 || .213 || 1.97 || {{mapping| 1 2 2 | 0 9 -7 }} || {{monzo| 32 -7 -9 }} | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Vishnuzmic || 26.5 || .0727 || .731 || {{mapping| 2 4 5 | 0 7 3 }} || {{monzo| 23 6 -14 }} | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Vulture || 27.3 || .0890 || .972 || {{mapping| 1 0 -6 | 0 4 21 }} || {{monzo| 24 -21 4 }} | ||
| | |||
| | |||
| | |||
|- | |- | ||
| 7 | | Unidecmic || 29.3 || .143 || 1.93 || {{mapping| 2 5 8 | 0 6 11 }} || {{monzo| -7 22 -12 }} | ||
| | |} | ||
| | 3 < badness < 6 | ||
{| class="wikitable sortable center-2 center-3 center-4" | |||
|- | |- | ||
! Temperament !! Complexity !! Error (¢) !! Badness !! Mapping !! Comma list | |||
|- | |- | ||
| 7 | | Avila || 7.79 || 16.7 || 4.27 || {{mapping| 1 0 -7 | 0 1 6 }} || 729/640 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Enipucrop || 8.16 || 11.5 || 3.38 || {{mapping| 1 2 2 | 0 3 -2 }} || 1125/1024 | ||
| | |||
|- | |- | ||
| 7 | | Laconic || 8.87 || 10.1 || 3.80 || {{mapping| 1 1 1 | 0 3 7 }} || 2187/2000 | ||
| | |||
|- | |- | ||
| | | Lafayette || 9.31 || 10.8 || 4.70 || {{mapping| 1 1 2 | 0 5 3 }} || 3456/3125 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Symbolic || 9.38 || 9.40 || 4.19 || {{mapping| 1 3 2 | 0 4 -1 }} || 2048/1875 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| 7 | | Sixix || 9.81 || 7.06 || 3.59 || {{mapping| 1 3 4 | 0 5 6 }} || 3125/2916 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Whitewood || 10.1 || 6.49 || 3.63 || {{mapping| 7 11 0 | 0 0 1 }} || 2187/2048 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Ripple || 11.2 || 4.35 || 3.26 || {{mapping| 1 2 3 | 0 5 8 }} || 6561/6250 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| 11 | | Progress || 11.9 || 6.38 || 5.77 || {{mapping| 1 0 5 | 0 3 -5 }} || 32768/30375 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Superpyth || 12.2 || 3.26 || 3.17 || {{mapping| 1 0 -12 | 0 1 9 }} || 20480/19683 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Wesley || 13.6 || 4.25 || 5.81 || {{mapping| 1 4 3 | 0 7 2 }} || 78125/73728 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Stump || 14.4 || 2.91 || 4.71 || {{mapping| 1 0 6 | 0 3 -7 }} || 273375/262144 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Passion || 14.5 || 2.42 || 3.95 || {{mapping| 1 2 2 | 0 5 -4 }} || 262144/253125 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Doublewide || 14.7 || 3.09 || 5.32 || {{mapping| 2 1 3 | 0 4 3 }} || 390625/373248 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Immunity || 17.2 || 1.59 || 4.33 || {{mapping| 1 0 -8 | 0 2 13 }} || 1638400/1594323 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Shibboleth || 17.3 || 1.91 || 5.34 || {{mapping| 1 4 5 | 0 9 10 }} || 1953125/1889568 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Unicorn || 18.0 || 1.12 || 3.53 || {{mapping| 1 2 3 | 0 8 13 }} || 1594323/1562500 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Mynic || 18.6 || 1.69 || 5.86 || {{mapping| 1 9 9 | 0 10 9 }} || 10077696/9765625 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Ampersand || 19.9 || .917 || 3.89 || {{mapping| 1 1 3 | 0 6 -7 }} || 34171875/33554432 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Sycamore || 20.5 || 1.06 || 4.93 || {{mapping| 2 2 3 | 0 5 7 }} || 48828125/47775744 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Fifive || 20.8 || .992 || 4.83 || {{mapping| 2 2 3 | 0 5 7 }} || 9765625/9565938 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Rodan || 22.2 || .669 || 3.95 || {{mapping| 1 1 -1 | 0 3 17 }} || {{monzo| 20 -17 3 }} | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Mabila || 23.8 || .753 || 5.45 || {{mapping| 1 6 1 | 0 10 -3 }} || {{monzo| 28 -3 -10 }} | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Ditonic || 26.3 || .399 || 3.92 || {{mapping| 1 6 3 | 0 13 2 }} || {{monzo| -27 -2 13 }} | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Trisedodge || 27.7 || .518 || 5.92 || {{mapping| 5 1 7 | 0 3 2 }} || {{monzo| 19 10 -15 }} | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Demibuzzard || 28.6 || .243 || 3.06 || {{mapping| 1 4 -1 | 0 8 -11 }} || {{monzo| -36 11 8 }} | ||
| | |} | ||
| | 30 < complexity < 60, badness < 3 | ||
{| class="wikitable sortable center-2 center-3 center-4" | |||
|- | |- | ||
! Temperament !! Complexity !! Error (¢) !! Badness !! Mapping !! Comma list | |||
|- | |- | ||
| | | Luna || 33.5 || .0239 || .483 || {{mapping| 1 4 2 | 0 15 -2 }} || {{monzo| 38 -2 -15 }} | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Enneadecal || 35.8 || .0454 || 1.12 || {{mapping| 19 0 14 | 0 1 1 }} || {{monzo| -14 -19 19 }} | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Gammic || 37.2 || .0740 || 2.06 || {{mapping| 1 1 2 | 0 20 11 }} || {{monzo| -29 -11 20 }} | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Ennealimmal || 38.7 || .0128 || .403 || {{mapping| 9 1 1 | 0 2 3 }} || {{monzo| 1 -27 18 }} | ||
| | |||
| | |||
| | |||
|- | |- | ||
| 13 | | Alphatricot || 39.3 || .0330 || 1.08 || {{mapping| 1 0 -13 | 0 3 29 }} || {{monzo| 39 -29 3 }} | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Kwazy || 43.2 || .00762 || .331 || {{mapping| 2 1 6 | 0 8 -5 }} || {{monzo| -53 10 16 }} | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Minortone || 45.3 || .0139 || .698 || {{mapping| 1 16 32 | 0 17 35 }} || {{monzo| -16 35 -17 }} | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Monzismic || 51.7 || .00326 || .244 || {{mapping| 1 0 -27 | 0 2 37 }} || {{monzo| 54 -37 2 }} | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Vavoom || 54.2 || .0269 || 2.31 || {{mapping| 1 0 4 | 0 17 -18 }} || {{monzo| -68 18 17 }} | ||
| | |} | ||
| | |||
| | == 5-limit rank-2 temperaments by TE simple badness == | ||
Breed's TE simple badness. | |||
=== Junk temperaments === | |||
=== High-badness temperaments === | |||
{| class="wikitable sortable center-2 center-3 center-4 mw-collapsible mw-collapsed" | |||
|- | |||
! Temperament !! Complexity !! Error (¢) !! Badness (moct) !! Mapping !! Comma list | |||
|- | |||
| Yo || .367 || 26.0 || 7.95 || {{mapping| 1 0 -1 | 0 1 -2 }} || 10/9 | |||
|- | |- | ||
| | | Antitonic || .395 || 27.0 || 8.89 || {{mapping| 2 3 0 | 0 0 1 }} || 9/8 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Father || .443 || 13.2 || 4.87 || {{mapping| 1 0 4 | 0 1 -1 }} || 16/15 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| | | Bug || .602 || 11.6 || 5.81 || {{mapping| 1 0 0 | 0 2 3 }} || 27/25 | ||
| | |||
| | |||
| | |||
|- | |- | ||
| 19 | | Supersharp || 1.06 || 7.94 || 7.01 || {{mapping| 2 0 -5 | 0 1 3 }} || 800/729 | ||
| | |- | ||
| | | Laconic || 1.24 || 6.52 || 6.74 || {{mapping| 1 1 1 | 0 3 7 }} || 2187/2000 | ||
| | |- | ||
| Lafayette || 1.30 || 7.00 || 7.60 || {{mapping| 1 1 2 | 0 5 3 }} || 3456/3125 | |||
|- | |||
| Symbolic || 1.31 || 6.09 || 6.66 || {{mapping| 1 3 4 | 0 5 6 }} || 2048/1875 | |||
|- | |||
| Sixix || 1.37 || 4.57 || 5.22 || {{mapping| 1 3 2 | 0 4 -1 }} || 3125/2916 | |||
|- | |||
| Uncle || 1.40 || 7.53 || 8.80 || {{mapping| 1 0 12 | 0 1 -6 }} || 4096/3645 | |||
|- | |||
| Whitewood || 1.42 || 4.20 || 4.95 || {{mapping| 7 11 0 | 0 0 1 }} || 2187/2048 | |||
|- | |||
| Progress || 1.66 || 4.13 || 5.72 || {{mapping| 1 0 5 | 0 3 -5 }} || 32768/30375 | |||
|} | |||
=== Main sequence === | |||
{| class="wikitable sortable center-2 center-3 center-4 mw-collapsible mw-collapsed" | |||
|- | |||
! Temperament !! Complexity !! Error (¢) !! Badness (moct) !! Mapping !! Comma list | |||
|- | |||
| Dicot || .521 || 7.09 || 3.08 || {{mapping| 1 1 2 | 0 2 1 }} || 25/24 | |||
|- | |||
| Meantone || .711 || 1.58 || .937 || {{mapping| 1 0 -4 | 0 1 4 }} || 81/80 | |||
|- | |||
| Mavila || .795 || 6.06 || 4.02 || {{mapping| 1 0 7 | 0 1 -3 }} || 135/128 | |||
|- | |||
| Augmented || .894 || 2.40 || 1.79 || {{mapping| 3 0 7 | 0 1 0 }} || 128/125 | |||
|- | |||
| Porcupine || .960 || 2.68 || 2.14 || {{mapping| 1 2 3 | 0 3 5 }} || 250/243 | |||
|- | |||
| Blackwood || 1.02 || 4.63 || 3.93 || {{mapping| 5 8 0 | 0 0 1 }} || 256/243 | |||
|- | |||
| Diminished || 1.05 || 3.10 || 2.73 || {{mapping| 4 0 3 | 0 1 1 }} || 648/625 | |||
|- | |||
| Diaschismic || 1.22 || .835 || .852 || {{mapping| 2 0 11 | 0 1 -2 }} || 2048/2025 | |||
|- | |||
| Magic || 1.40 || 1.11 || 1.29 || {{mapping| 1 0 2 | 0 5 1 }} || 3125/3072 | |||
|- | |||
| Hanson || 1.55 || .274 || .353 || {{mapping| 1 0 1 | 0 6 5 }} || 15625/15552 | |||
|- | |||
| Ripple || 1.56 || 2.82 || 3.66 || {{mapping| 1 2 3 | 0 5 8 }} || 6561/6250 | |||
|- | |||
| Negri || 1.58 || 1.69 || 2.23 || {{mapping| 1 2 2 | 0 4 -3 }} || 16875/16384 | |||
|- | |||
| Tetracot || 1.61 || .900 || 1.21 || {{mapping| 1 1 1 | 0 4 9 }} || 20000/19683 | |||
|- | |||
| Superpyth || 1.70 || 2.11 || 2.99 || {{mapping| 1 0 -12 | 0 1 9 }} || 20480/19683 | |||
|- | |||
| Helmholtz || 1.79 || .0570 || .0851 || {{mapping| 1 0 15 | 0 1 -8 }} || 32805/32768 | |||
|- | |||
| Wesley || 1.91 || 2.75 || 4.37 || {{mapping| 1 4 3 | 0 7 2 }} || 78125/73728 | |||
|- | |||
| Sensipent || 1.97 || .356 || .584 || {{mapping| 1 6 8 | 0 7 9 }} || 78732/78125 | |||
|- | |||
| Stump || 2.02 || 1.88 || 3.16 || {{mapping| 1 0 6 | 0 3 -7 }} || 273375/262144 | |||
|- | |||
| Passion || 2.02 || 1.57 || 2.64 || {{mapping| 1 2 2 | 0 5 -4 }} || 262144/253125 | |||
|- | |||
| Doublewide || 2.06 || 2.00 || 3.43 || {{mapping| 2 1 3 | 0 4 3 }} || 390625/373248 | |||
|- | |||
| Würschmidt || 2.29 || .262 || .499 || {{mapping| 1 7 3 | 0 8 1 }} || 393216/390625 | |||
|- | |||
| Amity || 2.29 || .140 || .268 || {{mapping| 1 3 6 | 0 5 13 }} || 1600000/1594323 | |||
|- | |||
| Valentine || 2.34 || .736 || 1.44 || {{mapping| 1 1 2 | 0 9 5 }} || 1990656/1953125 | |||
|- | |||
| Immunity || 2.40 || 1.03 || 2.06 || {{mapping| 1 0 -8 | 0 2 13 }} || 1638400/1594323 | |||
|- | |||
| Shibboleth || 2.42 || 1.24 || 2.50 || {{mapping| 1 4 5 | 0 9 10 }} || 1953125/1889568 | |||
|- | |||
| Compton || 2.44 || .504 || 1.02 || {{mapping| 12 19 0 | 0 0 1 }} || 531441/524288 | |||
|- | |||
| Orson || 2.44 || .215 || .438 || {{mapping| 1 0 3 | 0 7 -3 }} || 2109375/2097152 | |||
|- | |||
| Unicorn || 2.52 || .725 || 1.52 || {{mapping| 1 2 3 | 0 8 13 }} || 1594323/1562500 | |||
|- | |||
| Mynic || 2.60 || 1.10 || 2.37 || {{mapping| 1 9 9 | 0 10 9 }} || 10077696/9765625 | |||
|- | |||
| Ampersand || 2.78 || .594 || 1.38 || {{mapping| 1 1 3 | 0 6 -7 }} || 34171875/33554432 | |||
|- | |||
| Fifive || 2.91 || .643 || 1.56 || {{mapping| 2 2 3 | 0 5 7 }} || 9765625/9565938 | |||
|- | |||
| Misty || 2.99 || .308 || .767 || {{mapping| 3 0 26 | 0 1 -4 }} || 67108864/66430125 | |||
|- | |||
| Gravity || 2.99 || .269 || .669 || {{mapping| 1 5 12 | 0 6 17 }} || 129140163/128000000 | |||
|- | |||
| Rodan || 3.10 || .433 || 1.12 || {{mapping| 1 1 -1 | 0 3 17 }} || {{monzo| 20 -17 3 }} | |||
|- | |||
| || 3.11 || .757 || 1.96 || {{mapping| 1 0 -23 | 0 1 16 }} || {{monzo| -23 16 -1 }} | |||
|- | |||
| Mabila || 3.32 || .488 || 1.35 || {{mapping| 1 6 1 | 0 10 -3 }} || {{monzo| 28 -3 -10 }} | |||
|- | |||
| Parakleismic || 3.47 || .0798 || .231 || {{mapping| 1 5 6 | 0 13 14 }} || {{monzo| 8 14 -13 }} | |||
|- | |||
| Quartonic || 3.48 || .214 || .621 || {{mapping| 1 2 3 | 0 11 18 }} || {{monzo| 3 -18 11 }} | |||
|- | |||
| Escapade || 3.60 || .138 || .414 || {{mapping| 1 2 2 | 0 9 -7 }} || {{monzo| 32 -7 -9 }} | |||
|- | |||
| Ditonic || 3.68 || .258 || .792 || {{mapping| 1 6 3 | 0 13 2 }} || {{monzo| -27 -2 13 }} | |||
|- | |||
| Vishnuzmic || 3.71 || .0471 || .145 || {{mapping| 2 4 5 | 0 7 3 }} || {{monzo| 23 6 -14 }} | |||
|- | |||
| Vulture || 3.81 || .0576 || .183 || {{mapping| 1 0 -6 | 0 4 21 }} || {{monzo| 24 -21 4 }} | |||
|- | |||
| Trisedodge || 3.87 || .336 || 1.08 || {{mapping| 5 1 7 | 0 3 2 }} || {{monzo| 19 10 -15 }} | |||
|- | |||
| || 4.00 || .157 || .524 || {{mapping| 1 4 -1 | 0 8 -11 }} || {{monzo| -36 11 8 }} | |||
|} | |||
== Tunings == | |||
{| class="wikitable mw-collapsible mw-collapsed" | |||
|+style=white-space:nowrap | 5-limit norm-based tunings | |||
|- | |||
! rowspan="2" | | |||
! rowspan="2" | Manhattan | |||
! colspan="2" | Euclidean | |||
! rowspan="2" | Chebyshevian | |||
|- | |||
! Constrained | |||
! Constrained & skewed | |||
|- | |||
! Equilateral | |||
| CEOP: ~3/2 = 697.654{{c}}<br>(1/5-comma) | |||
| CEE: ~3/2 = 696.895{{c}}<br>(4/17-comma) | |||
| CSEE: ~3/2 = 696.453{{c}}<br>(11/43-comma) | |||
| CEC: ~3/2 = 696.578{{c}}<br>(1/4-comma) | |||
|- | |||
! Tenney | |||
| CTOP: ~3/2 = 698.020{{c}} | |||
| CTE: ~3/2 = 697.214{{c}} | |||
| CWE: ~3/2 = 696.651{{c}} | |||
| CTC: ~3/2 = 696.578{{c}}<br>(1/4-comma) | |||
|- | |||
! Benedetti, <br>Wilson | |||
| CBOP: ~3/2 = 698.160{{c}}<br>(3/17-comma) | |||
| CBE: ~3/2 = 697.374{{c}}<br>(36/169-comma) | |||
| CSBE: ~3/2 = 696.787{{c}}<br>(31/129-comma) | |||
| CBC: ~3/2 = 696.578{{c}}<br>(1/4-comma) | |||
|} | |||
{| class="wikitable mw-collapsible mw-collapsed" | |||
|+style=white-space:nowrap | 7-limit norm-based tunings | |||
|- | |- | ||
| | ! rowspan="2" | | ||
| | ! rowspan="2" | Manhattan | ||
| | ! colspan="2" | Euclidean | ||
| | ! rowspan="2" | Chebyshevian | ||
|- | |- | ||
! Constrained | |||
! Constrained & skewed | |||
|- | |- | ||
| | ! Equilateral | ||
| | | CEOP: ~3/2 = 697.344{{c}} | ||
| | | CEE: ~3/2 = 696.884{{c}} | ||
| | | CSEE: ~3/2 = 696.725{{c}} | ||
| CEC: ~3/2 = 696.883{{c}} | |||
|- | |- | ||
| | ! Tenney | ||
| | | CTOP: ~3/2 = 696.646{{c}} | ||
| | | CTE: ~3/2 = 696.952{{c}} | ||
| | | CWE: ~3/2 = 696.656{{c}} | ||
| CTC: ~3/2 = 696.883{{c}} | |||
|- | |- | ||
| | ! Benedetti, <br>Wilson | ||
| | | CBOP: ~3/2 = 697.842{{c}} | ||
| | | CBE: ~3/2 = 697.015{{c}} | ||
| | | CSBE: ~3/2 = 696.631{{c}} | ||
| CBC: ~3/2 = 696.883{{c}} | |||
|} | |} | ||