Gamelismic clan: Difference between revisions
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The 2.3.7 [[Just_intonation_subgroups|subgroup]] comma for the '''gamelismic clan''' is the gamelisma, [[1029/1024]], with monzo {{monzo|-10 1 0 3}}. For any member of the clan, for the rank three [[Gamelismic family #Gamelan|gamelan temperament]] itself, and for the rank two 2.3.7 temperament [[slendric]], this means three [[8/7]] intervals give a fifth, [[3/2]]. In fact, we find that 3/2 = (8/7)<sup>3</sup> × 1029/1024. From this it follows that gamelismic temperaments tend to flatten both the fifth and the 7/4, or if they do not, the other of the pair must be flattened even more. [[36edo]] is a good tuning for gamelismic itself, though if the full 7-limit is desired, [[72edo]], [[77edo]] or [[118edo]] might be preferred. | The 2.3.7 [[Just_intonation_subgroups|subgroup]] comma for the '''gamelismic clan''' is the gamelisma, [[1029/1024]], with monzo {{monzo|-10 1 0 3}}. For any member of the clan, for the rank three [[Gamelismic family #Gamelan|gamelan temperament]] itself, and for the rank two 2.3.7 temperament [[slendric]], this means three [[8/7]] intervals give a fifth, [[3/2]]. In fact, we find that 3/2 = (8/7)<sup>3</sup> × 1029/1024. From this it follows that gamelismic temperaments tend to flatten both the fifth and the 7/4, or if they do not, the other of the pair must be flattened even more. [[36edo]] is a good tuning for gamelismic itself, though if the full 7-limit is desired, [[72edo]], [[77edo]] or [[118edo]] might be preferred. | ||
= Slendric = | == Slendric == | ||
{{main| Slendric }} | {{main| Slendric }} | ||
| Line 22: | Line 22: | ||
Scales: [[slendric5]], [[slendric6]], [[slendric11]], [[slendric16]] | Scales: [[slendric5]], [[slendric6]], [[slendric11]], [[slendric16]] | ||
== Full seven limit extensions == | === Full seven limit extensions === | ||
To the gamelisma itself we need to add the comma which appears next on the modified [[Normal lists #Normal interval list|normal comma list]], which is often a 5-limit comma. The second comma on the list for mothra is 81/80, for rodan 245/243, for guiron 32805/32768, for gorgo 36/35, and for gidorah 256/245. These all use 8/7 as a generator, though in the case of gidorah that's the same as 6/5. Miracle adds 33075/32768 and uses the secor, half an 8/7, as generator. Lemba adds 525/512 to the list, and has a half-octave period. Valentine adds 6144/6125 with a generator of 21/20 and superkleismic adds 875/864 with a generator of 6/5. Unidec adds 4375/4374, and has a generator of 10/9 with a half-octave period. Hemithirds adds 65625/65536 with a generator half of a major third. Finally, tritikleismic adds 15625/15536 and has a generator of 6/5 with a 1/3 octave period. | To the gamelisma itself we need to add the comma which appears next on the modified [[Normal lists #Normal interval list|normal comma list]], which is often a 5-limit comma. The second comma on the list for mothra is 81/80, for rodan 245/243, for guiron 32805/32768, for gorgo 36/35, and for gidorah 256/245. These all use 8/7 as a generator, though in the case of gidorah that's the same as 6/5. Miracle adds 33075/32768 and uses the secor, half an 8/7, as generator. Lemba adds 525/512 to the list, and has a half-octave period. Valentine adds 6144/6125 with a generator of 21/20 and superkleismic adds 875/864 with a generator of 6/5. Unidec adds 4375/4374, and has a generator of 10/9 with a half-octave period. Hemithirds adds 65625/65536 with a generator half of a major third. Finally, tritikleismic adds 15625/15536 and has a generator of 6/5 with a 1/3 octave period. | ||
Discussed elsewhere are [[blacksmith]], [[mothra]], [[echidnic]], [[trismegistus]], [[hemithirds]], [[gamity]], [[triwell]] and [[heinz]]. The rest are considered below. | Discussed elsewhere are [[blacksmith]], [[mothra]], [[echidnic]], [[trismegistus]], [[hemithirds]], [[gamity]], [[triwell]] and [[heinz]]. The rest are considered below. | ||
== Subgroup extensions == | === Subgroup extensions === | ||
No-five subgroup extensions of slendric include [[Chromatic pairs #Radon|radon]], the 2.3.7.11 extension that may be viewed as no-five rodan, and baladic, the 2.3.7.13.17 extension, considered below. | No-five subgroup extensions of slendric include [[Chromatic pairs #Radon|radon]], the 2.3.7.11 extension that may be viewed as no-five rodan, and baladic, the 2.3.7.13.17 extension, considered below. | ||
= Miracle = | == Miracle == | ||
{{main| Miracle }} | {{main| Miracle }} | ||
| Line 61: | Line 61: | ||
Scales: [[Miracle 10]], [[Blackjack]] | Scales: [[Miracle 10]], [[Blackjack]] | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 83: | Line 83: | ||
Scales: [[Miracle 10]], [[Blackjack]] | Scales: [[Miracle 10]], [[Blackjack]] | ||
=== Miraculous === | ==== Miraculous ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 98: | Line 98: | ||
Scales: [[Miracle 10]], [[Blackjack]] | Scales: [[Miracle 10]], [[Blackjack]] | ||
=== Benediction === | ==== Benediction ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 111: | Line 111: | ||
Badness: 0.015715 | Badness: 0.015715 | ||
==== 17-limit ==== | ===== 17-limit ===== | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
| Line 124: | Line 124: | ||
Badness: 0.012537 | Badness: 0.012537 | ||
=== Manna === | ==== Manna ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 137: | Line 137: | ||
Badness: 0.017012 | Badness: 0.017012 | ||
=== Semimiracle === | ==== Semimiracle ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 150: | Line 150: | ||
Badness: 0.024622 | Badness: 0.024622 | ||
==== 17-limit ==== | ===== 17-limit ===== | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
| Line 163: | Line 163: | ||
Badness: 0.016130 | Badness: 0.016130 | ||
=== Hemisecordite === | ==== Hemisecordite ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 176: | Line 176: | ||
Badness: 0.025589 | Badness: 0.025589 | ||
==== 17-limit ==== | ===== 17-limit ===== | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
| Line 189: | Line 189: | ||
Badness: 0.022535 | Badness: 0.022535 | ||
=== Phicordial === | ==== Phicordial ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 202: | Line 202: | ||
Badness: 0.033198 | Badness: 0.033198 | ||
==== 17-limit ==== | ===== 17-limit ===== | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
| Line 215: | Line 215: | ||
Badness: 0.024705 | Badness: 0.024705 | ||
== Revelation == | === Revelation === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 228: | Line 228: | ||
Badness: 0.032946 | Badness: 0.032946 | ||
=== 13-limit === | ==== 13-limit ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 241: | Line 241: | ||
Badness: 0.029452 | Badness: 0.029452 | ||
== Hemimiracle == | === Hemimiracle === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 254: | Line 254: | ||
Badness: 0.059232 | Badness: 0.059232 | ||
=== 13-limit === | ==== 13-limit ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 267: | Line 267: | ||
Badness: 0.043151 | Badness: 0.043151 | ||
== Oracle == | === Oracle === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 280: | Line 280: | ||
Badness: 0.042687 | Badness: 0.042687 | ||
= Rodan = | == Rodan == | ||
{{main| Rodan }} | {{main| Rodan }} | ||
| Line 306: | Line 306: | ||
Scales: [[Rodan26opt]], [[Rodan31opt]], [[Rodan41opt]] | Scales: [[Rodan26opt]], [[Rodan31opt]], [[Rodan41opt]] | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 328: | Line 328: | ||
Scales: [[Rodan26opt]], [[Rodan31opt]], [[Rodan41opt]] | Scales: [[Rodan26opt]], [[Rodan31opt]], [[Rodan41opt]] | ||
=== 13-limit === | ==== 13-limit ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 350: | Line 350: | ||
Scales: [[Rodan26opt]], [[Rodan31opt]], [[Rodan41opt]] | Scales: [[Rodan26opt]], [[Rodan31opt]], [[Rodan41opt]] | ||
==== 17-limit ==== | ===== 17-limit ===== | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
| Line 368: | Line 368: | ||
Scales: [[Rodan26opt]], [[Rodan31opt]], [[Rodan41opt]] | Scales: [[Rodan26opt]], [[Rodan31opt]], [[Rodan41opt]] | ||
=== Aerodactyl === | ==== Aerodactyl ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 381: | Line 381: | ||
Badness: 0.033986 | Badness: 0.033986 | ||
== Aerodino == | === Aerodino === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 394: | Line 394: | ||
Badness: 0.054294 | Badness: 0.054294 | ||
=== 13-limit === | ==== 13-limit ==== | ||
Comma list: 91/90, 176/175, 245/243, 847/845 | Comma list: 91/90, 176/175, 245/243, 847/845 | ||
| Line 405: | Line 405: | ||
Badness: 0.035836 | Badness: 0.035836 | ||
== Varan == | === Varan === | ||
Comma list: 100/99, 245/243, 1029/1024 | Comma list: 100/99, 245/243, 1029/1024 | ||
| Line 416: | Line 416: | ||
Badness: 0.044937 | Badness: 0.044937 | ||
=== 13-limit === | ==== 13-limit ==== | ||
Comma list: 100/99, 105/104, 245/243, 352/351 | Comma list: 100/99, 105/104, 245/243, 352/351 | ||
| Line 427: | Line 427: | ||
Badness: 0.032284 | Badness: 0.032284 | ||
= Guiron = | == Guiron == | ||
{{see also| Schismatic family }} | {{see also| Schismatic family }} | ||
| Line 451: | Line 451: | ||
[[Badness]]: 0.047544 | [[Badness]]: 0.047544 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 471: | Line 471: | ||
Badness: 0.026648 | Badness: 0.026648 | ||
== 13-limit == | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 486: | Line 486: | ||
Badness: 0.028444 | Badness: 0.028444 | ||
= Valentine = | == Valentine == | ||
{{main| Valentine }} | {{main| Valentine }} | ||
{{see also| Starling temperaments #Valentine }} | {{see also| Starling temperaments #Valentine }} | ||
| Line 502: | Line 502: | ||
[[Badness]]: 0.122765 | [[Badness]]: 0.122765 | ||
== 7-limit == | === 7-limit === | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 530: | Line 530: | ||
[[Badness]]: 0.031056 | [[Badness]]: 0.031056 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 552: | Line 552: | ||
Badness: 0.016687 | Badness: 0.016687 | ||
== Dwynwen == | === Dwynwen === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 565: | Line 565: | ||
Badness: 0.023461 | Badness: 0.023461 | ||
== Lupercalia == | === Lupercalia === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 578: | Line 578: | ||
Badness: 0.021328 | Badness: 0.021328 | ||
== Valentino == | === Valentino === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 591: | Line 591: | ||
Badness: 0.020665 | Badness: 0.020665 | ||
== Semivalentine == | === Semivalentine === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 604: | Line 604: | ||
Badness: 0.032749 | Badness: 0.032749 | ||
= Unidec = | == Unidec == | ||
{{main| Unidec }} | {{main| Unidec }} | ||
| Line 623: | Line 623: | ||
Scales: [[Unidec26]] | Scales: [[Unidec26]] | ||
== 7-limit == | === 7-limit === | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 650: | Line 650: | ||
Scales: [[Unidec26]] | Scales: [[Unidec26]] | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 670: | Line 670: | ||
Scales: [[Unidec26]] | Scales: [[Unidec26]] | ||
== Ekadash == | === Ekadash === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 687: | Line 687: | ||
Scales: [[Unidec26]] | Scales: [[Unidec26]] | ||
== Hendec == | === Hendec === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 704: | Line 704: | ||
Scales: [[Unidec26]] | Scales: [[Unidec26]] | ||
=== 17-limit === | ==== 17-limit ==== | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
| Line 721: | Line 721: | ||
Scales: [[Unidec26]] | Scales: [[Unidec26]] | ||
= Hemiseven = | == Hemiseven == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 736: | Line 736: | ||
[[Badness]]: 0.056557 | [[Badness]]: 0.056557 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 749: | Line 749: | ||
Badness: 0.028467 | Badness: 0.028467 | ||
== 13-limit == | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 762: | Line 762: | ||
Badness: 0.021900 | Badness: 0.021900 | ||
== 17-limit == | === 17-limit === | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
| Line 775: | Line 775: | ||
Badness: 0.015701 | Badness: 0.015701 | ||
= Tritikleismic = | == Tritikleismic == | ||
{{see also| Kleismic family #Tritikleismic }} | {{see also| Kleismic family #Tritikleismic }} | ||
| Line 802: | Line 802: | ||
[[Badness]]: 0.056337 | [[Badness]]: 0.056337 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 822: | Line 822: | ||
Badness: 0.019333 | Badness: 0.019333 | ||
== 13-limit == | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 837: | Line 837: | ||
Badness: 0.015652 | Badness: 0.015652 | ||
== 17-limit == | === 17-limit === | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
| Line 852: | Line 852: | ||
Badness: 0.013551 | Badness: 0.013551 | ||
= Superkleismic = | == Superkleismic == | ||
{{see also| Shibboleth family #Superkleismic }} | {{see also| Shibboleth family #Superkleismic }} | ||
| Line 869: | Line 869: | ||
[[Badness]]: 0.047932 | [[Badness]]: 0.047932 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 882: | Line 882: | ||
Badness: 0.025659 | Badness: 0.025659 | ||
== 13-limit == | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 895: | Line 895: | ||
Badness: 0.021478 | Badness: 0.021478 | ||
= Gorgo = | == Gorgo == | ||
In the 5-limit, gorgo tempers out the '''laconic comma''', [[2187/2000]], which is the difference between three [[10/9]]'s and a [[3/2]]. Although a higher-error temperament, it does pop up enough in the low-numbered EDOs to be useful, most notably in [[16edo|16EDO]] and [[21edo|21EDO]]. The only 7-limit extension that makes any sense to use is to add the gamelisma to the comma list. | In the 5-limit, gorgo tempers out the '''laconic comma''', [[2187/2000]], which is the difference between three [[10/9]]'s and a [[3/2]]. Although a higher-error temperament, it does pop up enough in the low-numbered EDOs to be useful, most notably in [[16edo|16EDO]] and [[21edo|21EDO]]. The only 7-limit extension that makes any sense to use is to add the gamelisma to the comma list. | ||
== 5-limit (laconic) == | === 5-limit (laconic) === | ||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
| Line 913: | Line 913: | ||
[[Badness]]: 0.161799 | [[Badness]]: 0.161799 | ||
== 7-limit == | === 7-limit === | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 928: | Line 928: | ||
[[Badness]]: 0.060663 | [[Badness]]: 0.060663 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 941: | Line 941: | ||
Badness: 0.049500 | Badness: 0.049500 | ||
=== 13-limit === | ==== 13-limit ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 954: | Line 954: | ||
Badness: 0.032664 | Badness: 0.032664 | ||
== Spartan == | === Spartan === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 967: | Line 967: | ||
Badness: 0.062683 | Badness: 0.062683 | ||
=== 13-limit === | ==== 13-limit ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 980: | Line 980: | ||
Badness: 0.047071 | Badness: 0.047071 | ||
== Music == | === Music === | ||
* [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/gorgo-example.mp3 Gorgo Example] by [[Herman Miller]] | * [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/gorgo-example.mp3 Gorgo Example] by [[Herman Miller]] | ||
= Lemba = | == Lemba == | ||
{{main| Lemba }} | {{main| Lemba }} | ||
{{see also| Jubilismic clan #Lemba }} | {{see also| Jubilismic clan #Lemba }} | ||
| Line 1,003: | Line 1,003: | ||
[[Badness]]: 0.062208 | [[Badness]]: 0.062208 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 1,016: | Line 1,016: | ||
Badness: 0.041563 | Badness: 0.041563 | ||
== 13-limit == | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 1,029: | Line 1,029: | ||
Badness: 0.025477 | Badness: 0.025477 | ||
= Gidorah = | == Gidorah == | ||
{{main| University temperament }} | {{main| University temperament }} | ||
== 5-limit (university) == | === 5-limit (university) === | ||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
| Line 1,045: | Line 1,045: | ||
[[Badness]]: 0.101806 | [[Badness]]: 0.101806 | ||
== 7-limit == | === 7-limit === | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 1,060: | Line 1,060: | ||
[[Badness]]: 0.062262 | [[Badness]]: 0.062262 | ||
= Clyndro = | == Clyndro == | ||
{{see also| Pelogic family }} | {{see also| Pelogic family }} | ||
| Line 1,077: | Line 1,077: | ||
[[Badness]]: 0.159179 | [[Badness]]: 0.159179 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 1,090: | Line 1,090: | ||
Badness: 0.069703 | Badness: 0.069703 | ||
= Necromanteion = | == Necromanteion == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 1,105: | Line 1,105: | ||
[[Badness]]: 0.117680 | [[Badness]]: 0.117680 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 1,118: | Line 1,118: | ||
Badness: 0.053459 | Badness: 0.053459 | ||
== 13-limit == | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 1,131: | Line 1,131: | ||
Badness: 0.047015 | Badness: 0.047015 | ||
= Widefourth = | == Widefourth == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 1,146: | Line 1,146: | ||
[[Badness]]: 0.154117 | [[Badness]]: 0.154117 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 1,159: | Line 1,159: | ||
Badness: 0.040785 | Badness: 0.040785 | ||
== 13-limit == | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 1,172: | Line 1,172: | ||
Badness: 0.021636 | Badness: 0.021636 | ||
= Tritriple = | == Tritriple == | ||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
| Line 1,185: | Line 1,185: | ||
[[Badness]]: 0.283570 | [[Badness]]: 0.283570 | ||
== 7-limit == | === 7-limit === | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 1,200: | Line 1,200: | ||
[[Badness]]: 0.118640 | [[Badness]]: 0.118640 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 1,213: | Line 1,213: | ||
Badness: 0.035350 | Badness: 0.035350 | ||
= Restles = | == Restles == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 1,228: | Line 1,228: | ||
[[Badness]]: 0.108011 | [[Badness]]: 0.108011 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 1,241: | Line 1,241: | ||
Badness: 0.054655 | Badness: 0.054655 | ||
== 13-limit == | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 1,254: | Line 1,254: | ||
Badness: 0.028187 | Badness: 0.028187 | ||
= Quartemka = | == Quartemka == | ||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
| Line 1,267: | Line 1,267: | ||
[[Badness]]: 1.381216 | [[Badness]]: 1.381216 | ||
== 7-limit == | === 7-limit === | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 1,282: | Line 1,282: | ||
[[Badness]]: 0.152287 | [[Badness]]: 0.152287 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 1,295: | Line 1,295: | ||
Badness: 0.057307 | Badness: 0.057307 | ||
== 13-limit == | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 1,308: | Line 1,308: | ||
Badness: 0.028393 | Badness: 0.028393 | ||
= Baladic = | == Baladic == | ||
{{See also|Subgroup temperaments #No-fives subgroup}} | {{See also|Subgroup temperaments #No-fives subgroup}} | ||