Temperament orphanage: Difference between revisions

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-'''Welcome to the Temperament Orphanage'''
+{{Technical data page}}
+'''Welcome to the temperament orphanage!'''
 These temperaments need to be adopted into a family.
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 Please give a short description of whatever temperament you leave here so that someone can help to match this temperament back to its rightful progenitors.
-== Squarschmidt (118 & 593) ==
+== Lafa (65 & 441) ==
-Comma list: {{monzo| 61 4 -29 }}
+This temperament was named by [[Petr Pařízek]] in 2011, referring to the characteristic that stacking 12 generators makes 6/1 – "l" for 12, "f" for 6<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group | ''Suggested names for the unclasified temperaments'']</ref>.
-POTE generator: ~98304/78125 = 396.6208
-Mapping: [{{val| 1 -8 1 }}, {{val| 0 29 4 }}]
+Subgroup: 2.3.5
-{{Val list|legend=1| 118, 593, 711, 829, 947 }}
-== Lafa (65 & 441) ==
 Comma list: {{monzo| 77 -31 -12 }}
-POTE generator: ~{{monzo| -32 13 5 }} = 258.5029
+Mapping: {{mapping| 1 11 -22 | 0 -12 31 }}
-Mapping: [{{val| 1 -1 9 }}, {{val| 0 12 -31 }}]
-{{Val list|legend=1| 65, 246, 311, 376, 441, 2711, 3152, 3593, 4034, 4475, 4916, 5357 }}
-== Vavoom (118 & 665) ==
-Comma list: {{monzo| -68 18 17 }}
-POTE generator: ~16/15 = 111.8765
-Mapping: [{{val| 1 0 4 }}, {{val| 0 17 -18 }}]
-{{Val list|legend=1| 32, 43, 75, 118, 429, 547, 665, 783, 901, 1684 }}
-== Nulltone (2 & 4p) ==
-This temperament is characterized by tempering out [[9/8]], and has been termed a "troll temperament".  It is named not only on account of 9/8 being tempered out, but also on account of being supported by EDOs that many people consider unusable- ostensibly due to them not having any good musical tone to work with.  Surprisingly, it has extensions all the way up to the 11-limit, as confirmed by the data from [http://x31eq.com/cgi-bin/rt.cgi?ets=2%2C+4&limit=11 x31eq].  The original 5-limit is basically the 3-limit music of [[2edo]] with the addition of harmonic 5 represented by an independent generator.
-Comma list: 9/8
-POTE generator:
-Mapping:
-Mapping generators:
-Vals:
-Badness:
-=== 7-limit ===
-Comma list: 9/8, 21/20
-POTE generator:
-Mapping:
-Mapping generators:
-Vals:
-Badness:
-=== 11-limit ===
-Comma list: 9/8, 21/20, 12/11
-POTE generator:
+: Mapping generators: ~2, ~{{monzo| 33 -13 -5 }}
-Mapping:
+Optimal tuning (POTE): ~2 = 1\1, ~{{monzo| 33 -13 -5 }} = 941.4971
-Mapping generators:
+{{Optimal ET sequence|legend=1| 65, 246, 311, 376, 441, 2711, 3152, 3593, 4034, 4475, 4916, 5357 }}
-Vals:
+Badness: 0.184510
-Badness:
+== Notes ==
-[[Category:Temperament]]
+[[Category:Regular temperament theory]]
+[[Category:Temperament collections|*]]