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User:FloraC/Sandbox: Difference between revisions

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Update and remove comma table (it's canceled)
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Note:  
Note:  
# Order: subgroup, [[comma list]], [[mapping]], mapping generators, gencom mapping, [[gencom]], map to lattice, lattice basis, [[wedgie]], [[minimax tuning]], [[tuning ranges]], [[algebraic generator]], vals, [[badness]], [[complexity spectrum]].  
# Order: subgroup, [[comma list]], ([[sval]]) [[mapping]], (sval) mapping generators, gencom mapping, [[gencom]], map to lattice, lattice basis, [[wedgie]], [[POTE generator]](s), [[minimax tuning]], [[tuning ranges]], [[algebraic generator]], vals, [[badness]], [[complexity spectrum]], and others.  
# Comma list shows the simplest commas sufficient to define the temperament, stated in [[Normal lists #Normal interval list]].  
# Comma list should show the simplest commas sufficient to define the temperament, stated in [[Normal lists #Normal interval list]].  
# Mapping generators should show all the ratios as used in the mapping, including the period.  
# Mapping generators should show all the ratios as used in the mapping, including the period.  
# Minimax tuning are based on tonality diamond, so it should explicitly state the ''odd'' limit, or a diamond function of ratios.
# Since minimax tuning are based on tonality diamond, it should explicitly state the ''odd'' limit, or a diamond function of ratios.
# Use [[Template:Val list]].  
# Replace "EDOs" with [[Template:Val list]].  
# For subgroup temperaments, "mapping" becomes "sval mapping", add "gencom mapping" and "gencom". If TE is TE is TE (''sic''), simply show "POTE", otherwise show "POL2" or "POT2" instead of "POTE".  
# For subgroup temperaments, "mapping" becomes "sval mapping", add "gencom mapping" and "gencom". If TE is TE is TE (''sic''), simply show "POTE", otherwise show "POL2" or "POT2" instead of "POTE".  


Get a family for:  
Get a family for:  
* <s>Ripple (3 different 7-limit extensions)</s>
* <s>Ripple (3 different 7-limit extensions)</s> done
* <s>Smate (2 different 7-limit extensions)</s>
* <s>Smate (2 different 7-limit extensions)</s> done
* Maybe [[parakleismic]] (2 different 7-limit extensions)
* Maybe [[parakleismic]] (2 different 7-limit extensions)
* Maybe [[superpyth]] (2 different 7-limit extensions)
* Maybe [[superpyth]] (2 different 7-limit extensions)
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| 3\5 || || || || || || || 720.000 || 1 || 0 || → inf ||
| 3\5 || || || || || || || 720.000 || 1 || 0 || → inf ||
|}
|}
== Commas ==
41edo [[tempers out]] the following [[comma]]s using its patent [[val]], {{val| 41 65 95 115 142 152 168 174 185 199 203 }}.
{| class="commatable wikitable center-1"
! [[Prime limit|Prime <br> limit]]
! [[Ratio]]<ref>Ratios with more than 9 digits are presented in monzos</ref>
! Name(s)
|-
| 3
| <abbr title="36893488147419103232/36472996377170786403">{{monzo| 65 -41 }}</abbr>
| [[41-comma]]
|-
| 5
| <abbr title="1953125/1889568">{{Monzo| -5 -10 9 }}</abbr>
| [[Shibboleth]]
|-
| 5
| <abbr title="34171875/33554432">{{Monzo| -25 7 6 }}</abbr>
| [[Ampersand]]
|-
| 5
| [[3125/3072]]
| Magic comma
|-
| 5
| <abbr title="20000/19683">{{Monzo| 5 -9 4 }}</abbr>
| [[Tetracot comma]]
|-
| 5
| <abbr title="131072000/129140163">{{Monzo| 20 -17 3 }}</abbr>
| [[Roda]]
|-
| 5
| <abbr title="32805/32768">{{Monzo| -15 8 1 }}</abbr>
| [[Schisma]]
|-
| 7
| <abbr title="15625/15309">{{Monzo| 0 -7 6 -1 }}</abbr>
| [[Great BP diesis]]
|-
| 7
| <abbr title="854296875/843308032">{{Monzo| -10 7 8 -7 }}</abbr>
| [[Blackjackisma]]
|-
| 7
| [[875/864]]
| Keema
|-
| 7
| [[3125/3087]]
| Gariboh
|-
| 7
| <abbr title="179200/177147">{{Monzo| 10 -11 2 1 }}</abbr>
| [[Tolerma]]
|-
| 7
| <abbr title="33075/32768">{{Monzo| -15 3 2 2 }}</abbr>
| [[Mirwomo comma]]
|-
| 7
| [[245/243]]
| Sensamagic
|-
| 7
| [[4000/3969]]
| Octagar
|-
| 7
| <abbr title="823543/819200">{{Monzo| -15 0 -2 7 }}</abbr>
| [[Quince]]
|-
| 7
| [[1029/1024]]
| Gamelisma
|-
| 7
| [[225/224]]
| Marvel comma
|-
| 7
| <abbr title="16875/16807">{{Monzo| 0 3 4 -5 }}</abbr>
| [[Mirkwai]]
|-
| 7
| <abbr title="10976/10935">{{Monzo| 5 -7 -1 3 }}</abbr>
| [[Hemimage]]
|-
| 7
| [[5120/5103]]
| Hemifamity
|-
| 7
| <abbr title="33554432/33480783">{{Monzo| 25 -14 0 -1 }}</abbr>
| [[Garischisma]]
|-
| 7
| [[2401/2400]]
| Breedsma
|-
| 11
| <abbr title="163840/161051">{{Monzo| 15 0 1 0 -5 }}</abbr>
| [[Thuja comma]]
|-
| 11
| [[245/242]]
| Cassacot
|-
| 11
| [[100/99]]
| Ptolemisma
|-
| 11
| [[1344/1331]]
| Hemimin
|-
| 11
| [[896/891]]
| Pentacircle
|-
| 11
| <abbr title="65536/65219">{{Monzo| 16 0 0 -2 -3 }}</abbr>
| [[Orgonisma]]
|-
| 11
| [[243/242]]
| Rastma
|-
| 11
| [[385/384]]
| Keenanisma
|-
| 11
| [[441/440]]
| Werckisma
|-
| 11
| [[1375/1372]]
| Moctdel
|-
| 11
| [[540/539]]
| Swetisma
|-
| 11
| [[3025/3024]]
| Lehmerisma
|-
| 11
| <abbr title="151263/151250">{{Monzo| -1 2 -4 5 -2 }}</abbr>
| [[Odiheim]]
|-
| 13
| [[343/338]]
|
|-
| 13
| [[105/104]]
| Animist comma
|-
| 13
| <abbr title="28672/28431">{{Monzo| 12 -7 0 1 0 -1 }}</abbr>
| [[Secorian]]
|-
| 13
| [[275/273]]
| Gassorma
|-
| 13
| [[144/143]]
| Grossma
|-
| 13
| [[196/195]]
| Mynucuma
|-
| 13
| [[640/637]]
| Huntma
|-
| 13
| [[1188/1183]]
| Kestrel comma
|-
| 13
| [[325/324]]
| Marveltwin
|-
| 13
| [[352/351]]
| Minthma
|-
| 13
| [[364/363]]
| Gentle comma
|-
| 13
| [[847/845]]
| Cuthbert
|-
| 13
| [[729/728]]
| Squbema
|-
| 13
| [[4096/4095]]
| Schismina
|-
| 13
| <abbr title="10648/10647">{{Monzo| 3 -2 0 -1 3 -2 }}</abbr>
| [[Harmonisma]]
|-
| 17
| [[2187/2176]]
| Septendecimal schisma
|-
| 17
| [[256/255]]
| Septendecimal kleisma
|-
| 17
| [[715/714]]
| Septendecimal bridge comma
|-
| 19
| [[210/209]]
| Spleen comma
|-
| 19
| [[361/360]]
| Go comma
|-
| 19
| [[513/512]]
| Undevicesimal comma
|-
| 19
| [[1216/1215]]
| Eratosthenes' comma
|-
| 23
| [[736/729]]
| Vicesimotertial comma
|-
| 29
| [[145/144]]
| 29th-partial chroma
|}
<references/>
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