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| '''Welcome to the Temperament Orphanage''' | | {{Technical data page}} |
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| | '''Welcome to the temperament orphanage!''' |
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| | These temperaments need to be adopted into a family. |
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| == These temperaments need to be adopted into a family ==
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| These are some temperaments that were found floating around. It is not clear what family they belong to, so for now they are in the temperament orphanage. Should you know how to match these temperaments back up with their temperament family, feel free to remove them from the orphanage and put them on the right page. If a temperament listed does not have a name, give it a name. | | These are some temperaments that were found floating around. It is not clear what family they belong to, so for now they are in the temperament orphanage. Should you know how to match these temperaments back up with their temperament family, feel free to remove them from the orphanage and put them on the right page. If a temperament listed does not have a name, give it a name. |
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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. | | 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. |
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| == Smite == | | == Lafa (65 & 441) == |
| The 5-limit 7&25 temperament. It equates (6/5)<sup>5</sup> with 8/3. It is also called '''sixix''', a name by Petr Parizek which has priority. The generator is a really sharp minor third, the contraction of which is "smite".
| | 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>. |
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| Comma: 3125/2916
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| POTE generator: ~6/5 = 338.365
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| Map: [<1 3 4|, <0 -5 -6|]
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| EDOs: {{EDOs| 7, 25, 32 }}
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| Badness: 0.1531
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| [http://x31eq.com/cgi-bin/rt.cgi?ets=7_11b&limit=5 The temperament finder - 5-limit Sixix]
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| == Smate ==
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| The 5-limit 3&8b temperament. It equates (5/4)<sup>4</sup> with 8/3. It is so named because the generator is a sharp major third. I<sup>[who?]</sup> don't think "smate" is actually a word, but it is now.
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| Comma: 2048/1875
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| POTE generator: ~5/4 = 420.855
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| Map: [<1 2 3|, <0 -4 1|]
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| Status: [[Mint temperaments #Smate|Adopted]]
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| == Enipucrop ==
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| The 5-limit 6b&7 temperament. Its name is "porcupine" spelled backwards, because that's what this temperament is - it's porcupine, with the generator sharp of 2\7 such that the major and minor thirds switch places. The fifths are very flat, meaning that this is more of a melodic temperament than a harmonic one.
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| Comma: 1125/1024
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| POTE generator: ~16/15 = 173.101
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| Map: [<1 2 2|, <0 -3 2|]
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| EDOs: {{EDOs| 6b, 7 }}
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| Badness: 0.1439
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| [http://x31eq.com/cgi-bin/rt.cgi?ets=6b_7&limit=5 The temperament finder - 5-limit Enipucrop] | |
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| == Absurdity ==
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| The 5-limit 7&84 temperament. So named because this is just an absurd temperament. The generator is 81/80 and the period is 800/729, which is (10/9) / (81/80). This is also part of the [[syntonic-chromatic equivalence continuum]], in this case where (81/80)<sup>5</sup> = 25/24.
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| Commas: 10460353203/10240000000
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| POTE generator: ~10/9 = 185.901 cents
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| Map: [<7 0 -17|, <0 1 3|]
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| EDOs: {{EDOs| 7, 70, 77, 84, 329 }}
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| Badness: 0.3412
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| [http://x31eq.com/cgi-bin/rt.cgi?ets=7_84&limit=5 The temperament finder - 5-limit Absurdity]
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| == Sevond ==
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| This is a fairly obvious temperament; it just equates 7 10/9's with a 2/1, hence the period is 10/9. One generator from 5\7 puts you at 3/2, two generators from 2\7 puts you at 5/4.
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| Comma: 5000000/4782969
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| POTE generator: ~3/2 = 706.288 cents
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| Map: [<7 0 -6|, <0 1 2|]
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| EDOs: {{EDOs| 7, 42, 49, 56, 119 }}
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| Badness: 0.3393
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| === 7-limit ===
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| Adding 875/864 to the commas extends this to the 7-limit:
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| Commas: 875/864, 327680/321489
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| POTE generator: ~3/2 = 705.613 cents
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| Map: [<7 0 -6 53|, <0 1 2 -3|]
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| EDOs: {{EDOs| 7, 56, 63, 119 }}
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| [http://x31eq.com/cgi-bin/rt.cgi?ets=7_49&limit=5 The temperament finder - 5-limit Sevond]
| | Subgroup: 2.3.5 |
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| == Seville ==
| | Comma list: {{monzo| 77 -31 -12 }} |
| This is similar to the above, but provides a less complex avenue to 5, but this time at the sake of accuracy. One generator from 5\7 puts you at 3/2, and one generator from 2\7 puts you at 5/4.
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| Comma: 78125/69984
| | Mapping: {{mapping| 1 11 -22 | 0 -12 31 }} |
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| POTE generator: ~3/2 = 706.410 cents
| | : Mapping generators: ~2, ~{{monzo| 33 -13 -5 }} |
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| Map: [<7 0 5|, <0 1 1|]
| | Optimal tuning (POTE): ~2 = 1\1, ~{{monzo| 33 -13 -5 }} = 941.4971 |
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| EDOs: {{EDOs| 7, 35b, 42c, 49c, 56cc, 119cccc }}
| | {{Optimal ET sequence|legend=1| 65, 246, 311, 376, 441, 2711, 3152, 3593, 4034, 4475, 4916, 5357 }} |
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| Badness: 0.4377 | | Badness: 0.184510 |
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| [http://x31eq.com/cgi-bin/rt.cgi?ets=7_49c&limit=5 The temperament finder - 5-limit Seville]
| | == Notes == |
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| [[Category:Temperament]] | | [[Category:Regular temperament theory]] |
| | [[Category:Temperament collections|*]] |