Temperament naming: Difference between revisions
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A-Team is a pun on "eighteen," since the 2.9.21 subgroup of A-Team is nearly optimal in 18edo. | A-Team is a pun on "eighteen," since the 2.9.21 subgroup of A-Team is nearly optimal in 18edo. | ||
=== [[ | === [[Augene]] === | ||
Originally tripletone, in analogy with twintone, but when twintone was renamed pajara Paul Erlich suggested it should be augene, after augmented and Gene Smith. | Originally tripletone, in analogy with twintone, but when twintone was renamed pajara Paul Erlich suggested it should be augene, after augmented and Gene Smith. | ||
=== Avila === | === [[Avila]] === | ||
Origin: Mike Battaglia, Ron Sword, Ryan Avella (2011) | Origin: Mike Battaglia, Ron Sword, Ryan Avella (2011) | ||
Meaning: Originally discovered by Ryan by accident while he was reading the mapping for Mavila temperament incorrectly. It is the original spelling of Ryan's surname. | Meaning: Originally discovered by Ryan by accident while he was reading the mapping for Mavila temperament incorrectly. It is the original spelling of Ryan's surname. | ||
=== [[ | === [[Beatles]] === | ||
Named for the 19\64 generator, since 1964 is the year the Beatlemania swept the world. | Named for the 19\64 generator, since 1964 is the year the Beatlemania swept the world. | ||
=== [[ | === [[Limmic temperaments #Blacksmith|Blackwood]] === | ||
Origin: Middle-Path or Pre-Middle-Path | Origin: Middle-Path or Pre-Middle-Path | ||
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Named after [[Graham Breed]]. See [[breedsma]] for sources. | Named after [[Graham Breed]]. See [[breedsma]] for sources. | ||
=== [[ | === [[Catakleismic]] === | ||
The "cata" prefix means "down", and the catakleismic generator is very slightly down from the hanson generator, a temperament called "kleismic" until Paul Erlich decided the name must and shall be changed. | The "cata" prefix means "down", and the catakleismic generator is very slightly down from the hanson generator, a temperament called "kleismic" until Paul Erlich decided the name must and shall be changed. | ||
=== [[ | === [[Catler]] === | ||
Named for [[Jon Catler]]. | Named for [[Jon Catler]]. | ||
=== [[ | === [[Dicot]] === | ||
Meaning: 3/2 is divided into 2 equal parts, hence "di-". Not sure why "-cot". "-Cot" has been suggested to originate from 'cotyledon,' the name for the embryo of a plant seed. | Meaning: 3/2 is divided into 2 equal parts, hence "di-". Not sure why "-cot". "-Cot" has been suggested to originate from 'cotyledon,' the name for the embryo of a plant seed. | ||
=== [[Diminished|Diminished and dimipent]] === | |||
=== [[ | |||
Origin: Paul Erlich and Carl Lumma (2002) | Origin: Paul Erlich and Carl Lumma (2002) | ||
"Diminished" gets its name from its 1/4-octave period, corresponding to a diminished seventh chord.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_34327#34708 Yahoo! Tuning Groups | ''new equal temperament 5-limit error lattices''] - "i think carl and i just came to the consensus here that this should be called 'diminished', and the one you're calling 'diesic' should be called 'augmented'. besides the reasons already given, the period of the 'diminished' linear temperament is 1/4 octave (thus outlining a diminished seventh chord)" —Paul Erlich</ref> | "Diminished" gets its name from its 1/4-octave period, corresponding to a diminished seventh chord.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_34327#34708 Yahoo! Tuning Groups | ''new equal temperament 5-limit error lattices''] - "i think carl and i just came to the consensus here that this should be called 'diminished', and the one you're calling 'diesic' should be called 'augmented'. besides the reasons already given, the period of the 'diminished' linear temperament is 1/4 octave (thus outlining a diminished seventh chord)" —Paul Erlich</ref> | ||
This naming was not immediate, however. Paul initially proposed the name "octo-diminished"<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_1997#1998 Yahoo! Tuning Group | ''The four before meantone'']</ref>, which appears to be a reference to [https://en.wikipedia.org/wiki/Mode_of_limited_transposition#Messiaen's_list Olivier Messiaen's 2nd mode of limited transposition, which is also known as the octatonic or ''diminished'' scale]; this scale also divides the octave into four equal parts.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2064#2068 Yahoo! Tuning Group | ''Kleismic & co'' - "Paul [Erlich] suggested 'Octo-diminished', since it can be done very well by the 64-et." —Gene Ward Smith]</ref> but soon switched to sometimes using "diminished"<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2009#2027 Yahoo! Tuning Group | ''Meantone & co'']</ref> and sometimes "octatonic", the latter of which was adopted by Joseph Monzo.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3433#3464 Yahoo! Tuning Group | ''some output from Graham's cgi''] - "I think [Joseph] Monz[o] and Paul [Erlich] have been calling it octatonic." —Carl Lumma</ref> Meanwhile, Gene proposed "igor" as a reference to Igor Stravinksy's association with this scale,<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3433#3455 Yahoo! Tuning Group | ''some output from Graham's cgi''] - "It's a Paul [Erlich] favorite, since it is associated to the octatonic scale of jazz and Stravinsky. We could call it igor, I suppose." —Gene Ward Smith</ref> but this did not catch on. Eventually "octatonic" was rejected for being too generic,<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_35256#35262 Yahoo! Tuning Group | ''Octatonic temperament''] - "I'm not sure 'octatonic' is a good name for the temperament. There must be other temperaments whose basic scale has 8 notes. Isn't this what folks are calling the 'diminished' temperament on tuning-math?" —Dave Keenan</ref> while "diminished" was held to convey the 1/4-octave structure of the temperament better,<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_35256#35264 Yahoo! Tuning Group | ''Octatonic temperament''] - "I guess I need a name for this system that doesn't imply there's ''only'' eight notes in the tuning. And 'diminished' does suggest the 1/4-octave | This naming was not immediate, however. Paul initially proposed the name "octo-diminished"<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_1997#1998 Yahoo! Tuning Group | ''The four before meantone'']</ref>, which appears to be a reference to [https://en.wikipedia.org/wiki/Mode_of_limited_transposition#Messiaen's_list Olivier Messiaen's 2nd mode of limited transposition, which is also known as the octatonic or ''diminished'' scale]; this scale also divides the octave into four equal parts.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2064#2068 Yahoo! Tuning Group | ''Kleismic & co'' - "Paul [Erlich] suggested 'Octo-diminished', since it can be done very well by the 64-et." —Gene Ward Smith]</ref> but soon switched to sometimes using "diminished"<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2009#2027 Yahoo! Tuning Group | ''Meantone & co'']</ref> and sometimes "octatonic", the latter of which was adopted by Joseph Monzo.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3433#3464 Yahoo! Tuning Group | ''some output from Graham's cgi''] - "I think [Joseph] Monz[o] and Paul [Erlich] have been calling it octatonic." —Carl Lumma</ref> Meanwhile, Gene proposed "igor" as a reference to Igor Stravinksy's association with this scale,<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3433#3455 Yahoo! Tuning Group | ''some output from Graham's cgi''] - "It's a Paul [Erlich] favorite, since it is associated to the octatonic scale of jazz and Stravinsky. We could call it igor, I suppose." —Gene Ward Smith</ref> but this did not catch on. Eventually "octatonic" was rejected for being too generic,<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_35256#35262 Yahoo! Tuning Group | ''Octatonic temperament''] - "I'm not sure 'octatonic' is a good name for the temperament. There must be other temperaments whose basic scale has 8 notes. Isn't this what folks are calling the 'diminished' temperament on tuning-math?" —Dave Keenan</ref> while "diminished" was held to convey the 1/4-octave structure of the temperament better,<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_35256#35264 Yahoo! Tuning Group | ''Octatonic temperament''] - "I guess I need a name for this system that doesn't imply there's ''only'' eight notes in the tuning. And 'diminished' does suggest the 1/4-octave framework of the scale, so it's a better name than 'octatonic'." —Herman Miller</ref> and so "diminished" came to predominate. | ||
framework of the scale, so it's a better name than 'octatonic'." —Herman Miller</ref> and so "diminished" came to predominate. | |||
As for "dimipent", when Paul released his Middle Path paper, he introduced a naming pattern whereby certain<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_97783.html#98172 Yahoo! Tuning Group | ''A short recording of a semi-improvized 3D comma pump'' - "The 'sept'/'pent' distinction was according to a rule I never agreed with. I think it was that the TOP tunings had to be the same for the name to be the same. Gene [Ward Smith] ignores it. I don't care much either way for established names, but I may have to keep "Sensisept" because it exists in a higher limit. I can see the rule makes some sense if we're talking about temperaments, as I understand them. The existence of the rule may indicate Paul [Erlich] was understanding temperaments [sic] a similar way. But as I understand temperament classes (which is similar to how others understand regular temperaments) the tuning is allowed to vary over a wide range. There are subjective rules I follow when I share names over different limits and we can talk about individual cases if you like. I don't have a fixed definition, or deterministic algorithm, for deciding if two things in different limits are the same, and I don't want one." —Graham Breed]</ref> 7-limit extensions to 5-limit temperaments were required to have the same name, except for being suffixed with the numeric prefix "-sept" instead of the numeric prefix "-pent". This applied to three pairs of temperaments: | As for "dimipent", when Paul released his Middle Path paper, he introduced a naming pattern whereby certain<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_97783.html#98172 Yahoo! Tuning Group | ''A short recording of a semi-improvized 3D comma pump'' - "The 'sept'/'pent' distinction was according to a rule I never agreed with. I think it was that the TOP tunings had to be the same for the name to be the same. Gene [Ward Smith] ignores it. I don't care much either way for established names, but I may have to keep "Sensisept" because it exists in a higher limit. I can see the rule makes some sense if we're talking about temperaments, as I understand them. The existence of the rule may indicate Paul [Erlich] was understanding temperaments [sic] a similar way. But as I understand temperament classes (which is similar to how others understand regular temperaments) the tuning is allowed to vary over a wide range. There are subjective rules I follow when I share names over different limits and we can talk about individual cases if you like. I don't have a fixed definition, or deterministic algorithm, for deciding if two things in different limits are the same, and I don't want one." —Graham Breed]</ref> 7-limit extensions to 5-limit temperaments were required to have the same name, except for being suffixed with the numeric prefix "-sept" instead of the numeric prefix "-pent". This applied to three pairs of temperaments: | ||
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* "sensi", which became "sensipent" and "sensisept", and | * "sensi", which became "sensipent" and "sensisept", and | ||
* "negri", which became "negripent" and "negrisept". | * "negri", which became "negripent" and "negrisept". | ||
This naming system was unpopular,<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10620#10640 Yahoo! Tuning Group | ''Gene's mail server''] - "Anyway, since these names are so ugly, does ''anyone'' have suggestions for renaming them (Dimipent, Dimisept, Negripent, Negrisept, Sensipent, Sensisept) that preserves their approximate alphabetical location?" —Paul Erlich</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12957 Yahoo! Tuning Group | ''98 named 7-limit temperaments''] - Shows that there was some support for the -sept prefix from Gene Ward Smith still at this time.</ref> and did not catch on.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_104603#104603 Yahoo! Tuning Group | ''Subgroup temperament naming''] - "The thing we're doing now is analogous to Paul [Erlich]'s having different names for 'negripent' and 'negrisept' and such, which also didn't catch on." —Mike Battaglia</ref> In the case of negri, both negripent and negrisept fell out of use, and the modern convention of giving strong extensions the exact same name (distinguishing them as necessary with "septimal", etc.) was adopted instead, so both the 5-limit and 7-limit were called "negri". For diminished and sensi, however, these became the names for the 7-limit temperaments, while "dimipent" and "sensipent" stuck as names for the 5-limit temperaments. Because these originally 5-limit-specific names both also became the names for their entire temperament families, we can say that the "-pent" suffix in these two cases has lost its original (and indeed all) meaning. | This naming system was unpopular,<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10620#10640 Yahoo! Tuning Group | ''Gene's mail server''] - "Anyway, since these names are so ugly, does ''anyone'' have suggestions for renaming them (Dimipent, Dimisept, Negripent, Negrisept, Sensipent, Sensisept) that preserves their approximate alphabetical location?" —Paul Erlich</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12957 Yahoo! Tuning Group | ''98 named 7-limit temperaments''] - Shows that there was some support for the -sept prefix from Gene Ward Smith still at this time.</ref> and did not catch on.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_104603#104603 Yahoo! Tuning Group | ''Subgroup temperament naming''] - "The thing we're doing now is analogous to Paul [Erlich]'s having different names for 'negripent' and 'negrisept' and such, which also didn't catch on." —Mike Battaglia</ref> In the case of negri, both negripent and negrisept fell out of use, and the modern convention of giving strong extensions the exact same name (distinguishing them as necessary with "septimal", etc.) was adopted instead, so both the 5-limit and 7-limit were called "negri". For diminished and sensi, however, these became the names for the 7-limit temperaments, while "dimipent" and "sensipent" stuck as names for the 5-limit temperaments. Because these originally 5-limit-specific names both also became the names for their entire temperament families, we can say that the "-pent" suffix in these two cases has lost its original (and indeed all) meaning. | ||
Confusingly, in [[Jean-Philippe Rameau]]'s [[Treatise on Harmony]] from 1722, he called [[2048/2025]] the "diminished comma", and so in a way "diminished temperament" should already have been considered taken; the modern name for 2048/2025, the diaschisma, which gives its name to the diaschismic temperament, comes from [[Hermann von Helmholtz]] much later, in 1875.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_62661#62683 Yahoo! Tuning Groups | ''Diaschisma article'']</ref> The interval [[648/625]], the modern "diminished comma" by virtue of it being the one diminished temperament makes vanish, has been called the "major diesis" or "greater diesis",<ref>[[Wikipedia: | Confusingly, in [[Jean-Philippe Rameau]]'s [[Treatise on Harmony]] from 1722, he called [[2048/2025]] the "diminished comma", and so in a way "diminished temperament" should already have been considered taken; the modern name for 2048/2025, the diaschisma, which gives its name to the diaschismic temperament, comes from [[Hermann von Helmholtz]] much later, in 1875.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_62661#62683 Yahoo! Tuning Groups | ''Diaschisma article'']</ref> The interval [[648/625]], the modern "diminished comma" by virtue of it being the one diminished temperament makes vanish, has been called the "major diesis" or "greater diesis",<ref>[[Wikipedia: Diesis]]</ref> and so "major diesic" was also proposed as a name for this temperament.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2064#2067 Yahoo! Tuning Groups | ''Kleismic & co'']</ref> This would have gone along with [[128/125]] being the "(minor/lesser) diesis" and thus "minor diesic" temperament. Despite this not working out this way (due in part to too many things being named using "diesis"), in the end "diminished" and "augmented" still came out as an opposing pair. | ||
=== [[ | === [[Dominant]] === | ||
Meaning: It's meantone which calls the dominant seventh chord a 4:5:6:7. It is one of the least complex 7-limit extensions of meantone. | Meaning: It's meantone which calls the dominant seventh chord a 4:5:6:7. It is one of the least complex 7-limit extensions of meantone. | ||
=== [[ | === [[Doublewide]] === | ||
Named after a type of mobile home. | Named after a type of mobile home. | ||
=== [[ | === [[Eir]] === | ||
[[User:VIxen|VIxen]] named it after a healer goddess or valkyrie from the Norse mythology, as it's an extension of freya with the [[2080/2079|ibnsinma]] that evokes associations with medicine. | [[User:VIxen|VIxen]] named it after a healer goddess or valkyrie from the Norse mythology, as it's an extension of freya with the [[2080/2079|ibnsinma]] that evokes associations with medicine. | ||
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Meaning: Ennealimmal has a 1/9-octave period, hence "ennea-"; the period is very close to the large limma, [[27/25|27/25]], hence "limmal". | Meaning: Ennealimmal has a 1/9-octave period, hence "ennea-"; the period is very close to the large limma, [[27/25|27/25]], hence "limmal". | ||
=== Ervsec === | === [[Ervsec]] === | ||
{{Todo|inline=1|comment=Find out what this is.}} | |||
A name derived from a scale discovered by Erv Wilson and George Secor in the 80's while George was visiting Erv. | A name derived from a scale discovered by Erv Wilson and George Secor in the 80's while George was visiting Erv. | ||
=== [[ | === [[Father]] === | ||
Origin: 2000s? | Origin: 2000s? | ||
Meaning: A combination of the words "fourth" and "third." This is meant to represent the unification of perfect fourths and major thirds in Father temperament. | Meaning: A combination of the words "fourth" and "third." This is meant to represent the unification of perfect fourths and major thirds in Father temperament. | ||
=== [[ | === [[Flattone]] === | ||
Origin: Gene Ward Smith | Origin: Gene Ward Smith | ||
Meaning: A variant of meantone in which the whole tone is flatter than in septimal meantone. | Meaning: A variant of meantone in which the whole tone is flatter than in septimal meantone. | ||
=== [[ | === [[Gersemi]] === | ||
[[User:VIxen|VIxen]] named it and [[Temperament names #Hnoss|hnoss]] after Odr's and Freya's daughters. There is also a word play on 'semi-' that hints at the split of the octave (and other intervals like 18/7, 77/48, 9/8) in half. | [[User:VIxen|VIxen]] named it and [[Temperament names #Hnoss|hnoss]] after Odr's and Freya's daughters. There is also a word play on 'semi-' that hints at the split of the octave (and other intervals like 18/7, 77/48, 9/8) in half. | ||
=== [[ | === [[Glacial]] === | ||
Origin: Igliashon Jones, Mike Battaglia (2012) | Origin: Igliashon Jones, Mike Battaglia (2012) | ||
Meaning: Glacial sounds like "Igliashon." | Meaning: Glacial sounds like "Igliashon." | ||
=== [[ | === [[Godzilla]] === | ||
Named by Gene Smith after a Japanese fictional monster; part of the daikaiju series of names for temperaments with an approximate 8/7 as generator. | Named by Gene Smith after a Japanese fictional monster; part of the daikaiju series of names for temperaments with an approximate 8/7 as generator. | ||
=== [[ | === [[Gravity]] === | ||
Origin: Mike Battaglia (2011) | Origin: Mike Battaglia (2011) | ||
Named after its 40/27 "grave fifth" generator. See [[graviton]] for sources. | Named after its 40/27 "grave fifth" generator. See [[graviton]] for sources. | ||
=== [[ | === [[Hanson]] === | ||
Larry Hanson's 34-edo guitar (9\34 generator) | Larry Hanson's 34-edo guitar (9\34 generator) | ||
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Derived from a theory that you might be able to play the music of Harry Partch in it without driving him nuts so long as you didn't say that was what you were doing. | Derived from a theory that you might be able to play the music of Harry Partch in it without driving him nuts so long as you didn't say that was what you were doing. | ||
=== [[ | === [[Hedgehog]] === | ||
So named because it is in the PORCUPINE family, but different. | So named because it is in the PORCUPINE family, but different. | ||
=== [[ | === [[Heinz]] === | ||
Named after the fact that 26\57 is a possible generator, and the words "57 varieties" are found on the bottle labels of a popular brand of ketchup called "Heinz", so the connection is based on the presence of the number 57. It does not seem to be related in any way to [[Heinz Bohlen]]. | Named after the fact that 26\57 is a possible generator, and the words "57 varieties" are found on the bottle labels of a popular brand of ketchup called "Heinz", so the connection is based on the presence of the number 57. It does not seem to be related in any way to [[Heinz Bohlen]]. | ||
=== [[ | === [[Heimlaug]] === | ||
[[User:VIxen|VIxen]] named it after a völva (seeress) from the Gull-Þóris saga of Icelanders. It is an extension of freya with the [[1001/1000|fairytale comma]] and the [[936/935|ainma]], both adding to the mystical theme. The one of prophecy is bolstered by that this extension has benediction as a subtemperament. | [[User:VIxen|VIxen]] named it after a völva (seeress) from the Gull-Þóris saga of Icelanders. It is an extension of freya with the [[1001/1000|fairytale comma]] and the [[936/935|ainma]], both adding to the mystical theme. The one of prophecy is bolstered by that this extension has benediction as a subtemperament. | ||
=== [[ | === [[Helmholtz]] === | ||
So named because Hermann von Helmholtz proposed 1/8-schisma flattened fifths. | So named because Hermann von Helmholtz proposed 1/8-schisma flattened fifths. | ||
=== [[ | === [[Hnoss]] === | ||
[[User:VIxen|VIxen]] named it and [[Temperament names #Gersemi|gersemi]] after Odr's and Freya's daughters. In 11-limit, they both temper out one comma of [[Kalismic temperaments#Odin|odin]] (9801/9800) and one of [[Breed family#Freya|freya]] (41503/41472). | [[User:VIxen|VIxen]] named it and [[Temperament names #Gersemi|gersemi]] after Odr's and Freya's daughters. In 11-limit, they both temper out one comma of [[Kalismic temperaments#Odin|odin]] (9801/9800) and one of [[Breed family#Freya|freya]] (41503/41472). | ||
=== [[ | === [[Injera]] === | ||
Origin: Paul Erlich | Origin: Paul Erlich | ||
Meaning: Named after an Ethiopian flatbread because 26edo represents it well, and the Ethiopian alphabet has 26 consonants. | Meaning: Named after an Ethiopian flatbread because 26edo represents it well, and the Ethiopian alphabet has 26 consonants. | ||
=== [[ | === [[Jamesbond]] === | ||
Named from the fact that the wedgie is {{multival|0 0 7 … }} | Named from the fact that the wedgie is {{multival|0 0 7 … }} | ||
=== [[ | === [[Keemun]] === | ||
Origin: Herman Miller (2008) | Origin: Herman Miller (2008) | ||
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Keemun (simplified Chinese: <span style="font-family:SimSun">祁门红茶</span>; traditional Chinese: <span style="font-family:SimSun">祁門紅茶</span>; pinyin: qímén hóngchá; literally "Qimen red tea") is a black Chinese tea with a winey and fruity taste, designated as a China Famous Tea. It was given this name in Paul Erlich's Middle Path paper on the suggestion of Herman "Teamouse" Miller, thereby ending the unfortunate practice of calling this temperament, a 7-limit extension of hanson with a much lower accuracy, by the name "kleismic" also. | Keemun (simplified Chinese: <span style="font-family:SimSun">祁门红茶</span>; traditional Chinese: <span style="font-family:SimSun">祁門紅茶</span>; pinyin: qímén hóngchá; literally "Qimen red tea") is a black Chinese tea with a winey and fruity taste, designated as a China Famous Tea. It was given this name in Paul Erlich's Middle Path paper on the suggestion of Herman "Teamouse" Miller, thereby ending the unfortunate practice of calling this temperament, a 7-limit extension of hanson with a much lower accuracy, by the name "kleismic" also. | ||
=== [[ | === [[Mabila]] === | ||
Origin: Gene Ward Smith, Ryan Avella (2011) | Origin: Gene Ward Smith, Ryan Avella (2011) | ||
Meaning: Named after Mavila temperament due to their similar tunings and scale structure. | Meaning: Named after Mavila temperament due to their similar tunings and scale structure. | ||
=== Machine === | === [[Machine]] === | ||
Origin: Mike Battaglia (2011)<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96074.html Yahoo! Tuning Group | ''Ridiculously awesome 6&11 2.3.7.11.13 subgroup temperament'']</ref> | Origin: Mike Battaglia (2011)<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96074.html Yahoo! Tuning Group | ''Ridiculously awesome 6&11 2.3.7.11.13 subgroup temperament'']</ref> | ||
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Meaning: Named so because it maps the major whole tone (9/8) and the minor whole tone (10/9) to the same interval, which is near the average of the two tones in ideal tunings. | Meaning: Named so because it maps the major whole tone (9/8) and the minor whole tone (10/9) to the same interval, which is near the average of the two tones in ideal tunings. | ||
=== [[ | === [[Migration]] === | ||
Meaning: A temperament closely related to mohajira, which means "migrating". | Meaning: A temperament closely related to mohajira, which means "migrating". | ||
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Meaning: from Arabic مهاجرة ''muhājirah'' which roughly means "migrating". | Meaning: from Arabic مهاجرة ''muhājirah'' which roughly means "migrating". | ||
=== [[ | === [[Mothra]] === | ||
Origin: Gene Ward Smith | Origin: Gene Ward Smith | ||
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Meaning: Named after John Negri's 10-out-of-19 maximally even scale. See the temperament's dedicated page for sources. | Meaning: Named after John Negri's 10-out-of-19 maximally even scale. See the temperament's dedicated page for sources. | ||
=== [[ | === [[Octacot]] === | ||
Meaning: 3/2 is divided into 8 equal parts, therefore "octa-". | Meaning: 3/2 is divided into 8 equal parts, therefore "octa-". | ||
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Meaning: Named after Herman Miller's Mizarian Porcupine Overture in 15edo. | Meaning: Named after Herman Miller's Mizarian Porcupine Overture in 15edo. | ||
=== [[ | === [[Quadritikleismic]] === | ||
Has a kleismic generator, so that (6/5)<sup>6</sup> = 3, and four periods per octave, therefore quadri-. | Has a kleismic generator, so that (6/5)<sup>6</sup> = 3, and four periods per octave, therefore quadri-. | ||
=== [[ | === [[Rishi]] === | ||
When [[User:VIxen|VIxen]] was proposing it, [[Diaschismic_family #Sruti|sruti]] was its only named rank-2 subtemperament. Rishis (sages) are believed to have created shruti texts. | When [[User:VIxen|VIxen]] was proposing it, [[Diaschismic_family #Sruti|sruti]] was its only named rank-2 subtemperament. Rishis (sages) are believed to have created shruti texts. | ||
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Named after a Japanese fictional monster. A daikaiju name, from the 8/7 generator. | Named after a Japanese fictional monster. A daikaiju name, from the 8/7 generator. | ||
=== [[ | === [[Semaphore]] === | ||
Meaning: semi-fourth, i.e. half of a 4/3. | Meaning: semi-fourth, i.e. half of a 4/3. | ||
=== [[ | === [[Semisept]] === | ||
Meaning: semi-(septimal major sixth), i.e. half of a 12/7.<ref>Evidence for this interpretation can be found here, though the writer does not confirm it: [https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_16972#16979 Yahoo! Tuning Group | ''Complete Rank 2 Temperament Searches'']</ref> | Meaning: semi-(septimal major sixth), i.e. half of a 12/7.<ref>Evidence for this interpretation can be found here, though the writer does not confirm it: [https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_16972#16979 Yahoo! Tuning Group | ''Complete Rank 2 Temperament Searches'']</ref> | ||
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Named after slendro which it resembles very little. (According to Raden Machjar Angga Koesoemadinata's findings regarding Sundanese gamelan and Western findings regarding gamelan in general, real slendro is almost definitely within the 9&17 temperament area.) | Named after slendro which it resembles very little. (According to Raden Machjar Angga Koesoemadinata's findings regarding Sundanese gamelan and Western findings regarding gamelan in general, real slendro is almost definitely within the 9&17 temperament area.) | ||
=== [[ | === [[Squares]] === | ||
Named from the fact that the wedgie is {{multival|4 16 9 … }}, which is 2<sup>2</sup>, 4<sup>2</sup>, 3<sup>2</sup>. | Named from the fact that the wedgie is {{multival|4 16 9 … }}, which is 2<sup>2</sup>, 4<sup>2</sup>, 3<sup>2</sup>. | ||
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The 126/125 planar temperament, named after Herman Miller's Starling scale. See the temperament's dedicated page for sources. | The 126/125 planar temperament, named after Herman Miller's Starling scale. See the temperament's dedicated page for sources. | ||
=== [[ | === [[Srutal]] === | ||
A name proposed by Paul Erlich because the 22-tone MOS looks a lot like the Indian Shruti scale. | A name proposed by Paul Erlich because the 22-tone MOS looks a lot like the Indian Shruti scale. | ||
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The 6/5 generator is ~322 cents, sharper than the kleismic 6/5, hence "super-". Can be restricted to 2.7.11 (orgone) or 2.5/3.7.11 (magicaltet). | The 6/5 generator is ~322 cents, sharper than the kleismic 6/5, hence "super-". Can be restricted to 2.7.11 (orgone) or 2.5/3.7.11 (magicaltet). | ||
=== [[ | === [[Superpyth]] === | ||
Meaning: fifths are wider than Pythagorean, hence super-Pythagorean or "superpyth" | Meaning: fifths are wider than Pythagorean, hence super-Pythagorean or "superpyth" | ||
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Meaning: 3/1 is divided into three equal parts, hence "tri-". See the temperament's dedicated page for sources. | Meaning: 3/1 is divided into three equal parts, hence "tri-". See the temperament's dedicated page for sources. | ||
=== [[ | === [[Triforce]] === | ||
Triforce has 3 periods per octave, hence tri-. | Triforce has 3 periods per octave, hence tri-. | ||
=== [[ | === [[Tritikleismic]] === | ||
Tritikleismic has a kleismic generator, so that (6/5)<sup>6</sup> = 3, and 3 periods per octave (therefore tri-.) | Tritikleismic has a kleismic generator, so that (6/5)<sup>6</sup> = 3, and 3 periods per octave (therefore tri-.) | ||
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Named for Robert C Valentine. | Named for Robert C Valentine. | ||
=== [[ | === [[Whitewood]] === | ||
Origin: Mike Battaglia (2010)<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95296.html Yahoo! Tuning Group | ''7&14 temperament - 14 out of 35'']</ref> | Origin: Mike Battaglia (2010)<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95296.html Yahoo! Tuning Group | ''7&14 temperament - 14 out of 35'']</ref> | ||