Temperament naming: Difference between revisions

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Temperament name examples: sensipent is the only temp with the -pent suffix now
 
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Weaker but still good and standard reasons for renaming a comma and/or temperament include:
Weaker but still good and standard reasons for renaming a comma and/or temperament include:
* The name is simpler but not so simple as to be absurd and implicatory of many alternate candidates (an example of the latter is "[[commatic]]" temperament).
* The name is simpler but not so simple as to be absurd and implicatory of many alternate candidates.
* The name has reasoning behind it that identifies it as appropriate at least insofar as it identifies the comma as unique within reason.
* The name has reasoning behind it that identifies it as appropriate at least insofar as it identifies the comma as unique within reason.
* The previous name is fairly new (within the last year).
* The previous name is fairly new (within the last year).
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== Temperament name examples ==
== Temperament name examples ==
=== [[Amity]] ===
; [[Alphatricot]]
Origin: Paul Erlich (2002)
: Origin: Paul Erlich (2002)
: Meaning: First named as ''tricot'', but later renamed to ''alphatricot'' following the specifications of [[ploidacot]]. The interval class of 3 is divided into three equal parts, hence "tri-". The specific interval being divided is 3/1, which is an octave above 3/2, hence "alpha-". See the temperament's dedicated page for sources.


Meaning: A restructuring of the words "acute minor third." The ideal generator for Amity is between a minor third and neutral third.
; [[Amity]]
: Origin: Gene Ward Smith (2001–2002)
: Meaning: A restructuring of the phrase ''acute minor third'', as the ideal generator for amity is between a minor third and neutral third. See the temperament's dedicate page for sources.  


=== [[Augmented (temperament)|Augmented]] ===
; [[Augmented (temperament)|Augmented]]
Origin: Paul Erlich and Carl Lumma (2002)
: Origin: Paul Erlich and Carl Lumma (2002)
: Meaning: Augmented gets its name from its 1/3-octave period, corresponding to an augmented triad.<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 … the [temperament] you're calling 'diesic' should be called 'augmented'. besides the reasons already given … the period of the 'augmented' linear temperament is 1/3 octave (thus outlining an augmented triad)." —Paul Erlich</ref>


"Augmented" gets its name from its 1/3-octave period, corresponding to an augmented triad.<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 ... the [temperament] you're calling 'diesic' should be
; [[Ammonite]]
called 'augmented'. besides the reasons already given ... the period of the 'augmented' linear temperament is 1/3 octave (thus outlining an augmented triad)." —Paul Erlich</ref>
: Origin: Keenan Pepper (2011)
: Meaning: Keenan Pepper suggested it was a good name of a weird spiral-shaped animal, for a temperament in the porcupine family (like nautilus).  


=== [[Ammonite]] ===
; [[A-team]]
Origin: Keenan Pepper (2011)
: Origin: Igliashon Jones (2011)
: Meaning: A pun on ''eighteen'', since the 2.9.21 subgroup of A-Team is nearly optimal in 18edo.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18559.html#18563 Yahoo! Tuning Group | ''1029'']</ref>


Meaning: Keenan Pepper suggested it was a good name of a weird spiral-shaped animal, for a temperament in the porcupine family (like nautilus)
; [[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.


=== [[A-team]] ===
; [[Avila]]
Origin: Igliashon Jones (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.


A-Team is a pun on "eighteen," since the 2.9.21 subgroup of A-Team is nearly optimal in 18edo.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18559.html#18563 Yahoo! Tuning Group | ''1029'']</ref>
; [[Beatles]]
: Origin: Gene Ward Smith (2003)
: Meaning: Named for the 19\64 generator, since 1964 is the year the Beatlemania swept the world.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5279.html#5299 Yahoo! Tuning Group | ''Poptimal generators'']</ref>


=== [[Augene]] ===
; [[Blackwood]]
Originally tripletone, in analogy with twintone, but when twintone was renamed pajara Paul Erlich suggested it should be augene, after augmented and Gene Smith.
: Origin: Gene Ward Smith and Paul Erlich (2002)<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_4554.html Yahoo! Tuning Group | ''Modified best 5-limit geometric list'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html Yahoo! Tuning Group | ''Ultimate 5-limit comma list'']</ref>
: Meaning: Named after Easley Blackwood's 10-out-of-15 maximally even scale.  


=== [[Avila]] ===
; [[Breed (temperament)|Breed]]
Origin: Mike Battaglia, Ron Sword, Ryan Avella (2011)
: Origin: Gene Ward Smith (2004)
: Named after [[Graham Breed]]. See [[breedsma]] for sources.


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.
; [[Catakleismic]]
: Meaning: 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.


=== [[Beatles]] ===
; [[Catler]]
Origin: Gene Ward Smith (2003)
: Named for [[Jon Catler]].


Named for the 19\64 generator, since 1964 is the year the Beatlemania swept the world.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5279.html#5299 Yahoo! Tuning Group | ''Poptimal generators'']</ref>
; [[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.


=== [[Limmic temperaments #Blacksmith|Blackwood]] ===
; [[Diminished (temperament)|Diminished]]
Origin: Gene Ward Smith and Paul Erlich (2002)<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_4554.html Yahoo! Tuning Group | ''Modified best 5-limit geometric list'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html Yahoo! Tuning Group | ''Ultimate 5-limit comma list'']</ref>
: Origin: Paul Erlich and Carl Lumma (2002)
: Meaning: 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 {{w|Olivier Messiaen}}'s {{w|Mode of limited transposition #Messiaen's list|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 {{w|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.
: Confusingly, in {{w|Jean-Philippe Rameau}}'s {{w|Treatise on Harmony}} from 1722, he called [[2048/2025]] the ''diminished comma''. This has been displaced by the modern name for 2048/2025, the ''diaschisma'', which gives its name to the diaschismic temperament, from [[Hermann von Helmholtz]] 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. 


Meaning: Named after Easley Blackwood's 10-out-of-15 maximally even scale.  
; [[Dominant (temperament)|Dominant]]
: Meaning: It is meantone which calls the dominant seventh chord a 4:5:6:7. It is one of the least complex 7-limit extensions of meantone.


=== [[Breed (temperament)|Breed]] ===
; [[Doublewide]]
Origin: Gene Ward Smith (2004)
: Named after a type of mobile home.


Named after [[Graham Breed]]. See [[breedsma]] for sources.
; [[Ennealimmal]]
: Origin: Gene Ward Smith (2001)
: Meaning: Ennealimmal has a 1/9-octave period, hence ''ennea-''; the period is very close to the large limma, [[27/25]], hence ''limmal''.


=== [[Catakleismic]] ===
; [[Ervsec]]
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]].
 
=== [[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.
 
=== [[Diminished (temperament)|Diminished and dimipent]] ===
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>
 
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.
 
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:
* "diminished", which became "dimipent" and "dimisept",
* "sensi", which became "sensipent" and "sensisept", and
* "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.
 
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 (temperament)|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.
 
=== [[Doublewide]] ===
Named after a type of mobile home.
 
=== [[Ennealimmal]] ===
Origin: Gene Ward Smith (2001)
 
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]] ===
{{Todo|research|inline=1|comment=Find out what this is.}}
{{Todo|research|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?
=== [[Father]] ===
: 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.
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.
 
=== [[Flattone]] ===
Origin: Gene Ward Smith
 
Meaning: A variant of meantone in which the whole tone is flatter than in septimal meantone.
 
=== [[Glacial]] ===
Origin: Igliashon Jones, Mike Battaglia (2012)
 
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.
 
=== [[Gravity]] ===
Origin: Mike Battaglia (2011)
 
Named after its 40/27 "grave fifth" generator. See [[graviton]] for sources.
 
=== [[Hanson]] ===
Larry Hanson's 34-edo guitar (9\34 generator)
 
=== [[Harry]] ===
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.
 
=== [[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]].
 
=== [[Helmholtz]] ===
So named because Hermann von Helmholtz proposed 1/8-schisma flattened fifths.
 
=== [[Injera]] ===
Origin: Paul Erlich
 
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 … }}
 
=== [[Keemun]] ===
Origin: Herman Miller (2008)
 
Meaning: Name of a variety of tea which could fit into the same space as "keenan" and replace it.
 
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)
 
Meaning: Named after Mavila temperament due to their similar tunings and scale structure.
 
=== [[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>
 
Because it sounded like a 4:7:9:11 machine.
 
=== [[Magic]] ===
Origin: Graham Breed
 
Graham named it "magic" by analogy with miracle; he was listening to the Fleetwood Mac song "You Make Loving Fun" that uses the word "miracle" at the time. Later he coined the backronym "multiple approximations generated iteratively and consistently" also by analogy with miracle.
 
=== [[Marvel]] ===
Origin: Gene Ward Smith (2003)


Marvel was discovered while investigating slendric temperament, which at the time was called "wonder", and so "marvel" was introduced as an implicit variation on that name; along with miracle, then, there were now three temperaments with names conveying extraordinary goodness, so this began to constitute a temperament naming theme. See the temperament's dedicated page for sources.
; [[Flattone]]
: Origin: Gene Ward Smith
: Meaning: A variant of meantone in which the whole tone is flatter than in septimal meantone.


=== [[Mavila]] ===
; [[Glacial]]
Origin: Erv Wilson (1989)
: Origin: Igliashon Jones, Mike Battaglia (2012)
: Meaning: ''Glacial'' sounds like ''Igliashon''.


Meaning: Named after the Chopi village of Mavila in Mozambique, known for their use near-equal heptatonic scales. Nobody can agree on how to pronounce this word. See the temperament's dedicated page for sources.
; [[Godzilla]]
: Origin: Gene Ward Smith
: Meaning: Named after a Japanese fictional monster; part of the daikaiju series of names for temperaments with an approximate 8/7 as generator.


=== [[Meantone]] ===
; [[Gravity]]
Origin: really really old
: Origin: Mike Battaglia (2011)
: Named after its 40/27 grave fifth generator. See [[graviton]] for sources.


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.
; [[Hanson]]
: Larry Hanson's 34-edo guitar (9\34 generator)


=== [[Migration]] ===
; [[Harry]]
Meaning: A temperament closely related to mohajira, which means "migrating".
: 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 did not say that was what you were doing.


=== [[Miracle]] ===
; [[Hedgehog]]
Origin: Paul Erlich (May 2001?)
: So named because it is in the ''porcupine'' family, but different.


Double meaning: It is a miracle that this scale is so accurate! And it is an acronym "Multiple Integer Ratios Approximated Consistently, Linearly and Evenly."
; [[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]].


=== [[Mohajira]] ===
; [[Helmholtz (temperament)|Helmholtz]]
Origin: Jacques Dudon
: So named because [[Hermann von Helmholtz]] proposed 1/8-schisma flattened fifths.


Meaning: from Arabic مهاجرة ''muhājirah'' which roughly means "migrating".
; [[Injera]]
: Origin: Paul Erlich
: Meaning: Named after an Ethiopian flatbread because 26edo represents it well, and the Ethiopian alphabet has 26 consonants.


=== [[Mothra]] ===
; [[Jamesbond]]
Origin: Gene Ward Smith
: Named from the fact that the wedgie is {{multival| 0 0 7 … }}


Named after a Japanese fictional monster: a daikaiju name for a temperament with ~8/7 generator. Mothra has defeated Godzilla more times than any other daikaiju; the musical meaning of this fact is at best speculative.
; [[Keemun]]
: Origin: Herman Miller (2008)
: Meaning: Name of a variety of tea which could fit into the same space as "keenan" and replace it.
: 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.


=== [[Myna]] ===
; [[Mabila]]
Myna is related to starling, the 126/125 planar temperament, and a myna is a member of the starling family (Sturnidae). Myna is also a play on minor third, the generator.
: Origin: Gene Ward Smith, Ryan Avella (2011)
: Meaning: Named after mavila temperament due to their similar tunings and scale structure.


=== [[Negri]] ===
; [[Machine]]
Origin: Paul Erlich (2001)
: 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>
: Meaning: Because it sounded like a 4:7:9:11 machine.


Meaning: Named after John Negri's 10-out-of-19 maximally even scale. See the temperament's dedicated page for sources.
; [[Magic]]
: Origin: Graham Breed
: Meaning: Graham named it ''magic'' by analogy with miracle; he was listening to the Fleetwood Mac song ''You Make Loving Fun'' that uses the word ''miracle'' at the time. Later he coined the backronym ''multiple approximations generated iteratively and consistently'' also by analogy with miracle.


=== [[Octacot]] ===
; [[Marvel]]
Meaning: 3/2 is divided into 8 equal parts, therefore "octa-".
: Origin: Gene Ward Smith (2003)
: Meaning: Marvel was discovered while investigating slendric temperament, which at the time was called ''wonder'', and so ''marvel'' was introduced as an implicit variation on that name; along with miracle, then, there were now three temperaments with names conveying extraordinary goodness, so this began to constitute a temperament naming theme. See the temperament's dedicated page for sources.


=== [[Orgone]] ===
; [[Mavila]]
Origin: Andrew Heathwaite (2010)
: Origin: Erv Wilson (1989)
: Meaning: Named after the Chopi village of Mavila in Mozambique, known for their use near-equal heptatonic scales. Nobody can agree on how to pronounce this word. See the temperament's dedicated page for sources.


Meaning: An analogy between Wilhelm Reich's proposal for an invisible, ephemeral creative energy and the subtleties of the higher harmonics 7 and 11. Superkleismic can be viewed as orgone extended to the full 11-limit.
; [[Meantone]]
: Origin: really really old
: 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.


=== [[Orwell]] ===
; [[Migration]]
Origin: Gene Ward Smith (2001)
: Meaning: A temperament closely related to mohajira, which means "migrating".


Meaning: Named after George Orwell's book 1984, because of the generator of 19\84.
; [[Miracle]]
: Origin: Paul Erlich (May 2001?)
: Double meaning: It is a miracle that this scale is so accurate! And it is an acronym ''Multiple Integer Ratios Approximated Consistently, Linearly and Evenly''.


=== [[Pajara]] ===
; [[Mohajira]]
Origin: Originally (up to 2001) paultone and then twintone, in analogy with meantone, but Paul Erlich didn't like this and suggested pajara, after "Paul, John, and Ara," the three people jamming at his house at some random point in time.
: Origin: Jacques Dudon
: Meaning: from Arabic مهاجرة ''muhājirah'' which roughly means "migrating".


=== [[Porcupine]] ===
; [[Mothra]]
Origin: Herman Miller (1999)
: Origin: Gene Ward Smith
: Meaning: Named after a Japanese fictional monster: a daikaiju name for a temperament with ~8/7 generator. Mothra has defeated Godzilla more times than any other daikaiju; the musical meaning of this fact is at best speculative.


Meaning: Named after Herman Miller's Mizarian Porcupine Overture in 15edo.
; [[Myna]]
: Myna is related to starling, the 126/125 planar temperament, and a myna is a member of the starling family (Sturnidae). Myna is also a play on minor third, the generator.


=== [[Quadritikleismic]] ===
; [[Negri]]
Has a kleismic generator, so that (6/5)<sup>6</sup> = 3, and four periods per octave, therefore quadri-.
: Origin: Paul Erlich (2001)
: Meaning: Named after John Negri's 10-out-of-19 maximally even scale. See the temperament's dedicated page for sources.


=== [[Rodan]] ===
; [[Octacot]]
Origin: Gene Ward Smith
: Meaning: 3/2 is divided into 8 equal parts, therefore ''octa-''.


Named after a Japanese fictional monster. A daikaiju name, from the 8/7 generator.
; [[Orgone]]
: Origin: Andrew Heathwaite (2010)
: Meaning: An analogy between Wilhelm Reich's proposal for an invisible, ephemeral creative energy and the subtleties of the higher harmonics 7 and 11. Superkleismic can be viewed as orgone extended to the full 11-limit.


=== [[Semaphore]] ===
; [[Orwell]]
Meaning: semi-fourth, i.e. half of a 4/3.
: Origin: Gene Ward Smith (2001)
: Meaning: Named after George Orwell's book 1984, because of the generator of 19\84.


=== [[Semisept]] ===
; [[Pajara]]
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>
: Origin: Originally (up to 2001) ''paultone'' and then ''twintone'', in analogy with meantone, but Paul Erlich did not like this and suggested pajara, after "Paul, John, and Ara", the three people jamming at his house at some random point in time.


=== [[Sensi]] ===
; [[Porcupine]]
Originally semisixths, but after it was decided that "bi" or "semi" should be half for periods and "hemi" should be half for generators, that was contracted to sensi.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_97722.html#97733 ''Temperament names''] "The idea here is to use 'hemi' only when the generator is split in towo, not when the period is split in two." —Gene Ward Smith</ref>
: Origin: Herman Miller (1999)
: Meaning: Named after Herman Miller's ''Mizarian Porcupine Overture'' in 15edo.


For more information on the origin of the "-pent" part of "sensipent", see [[#Dimipent|Dimipent]].
; [[Quadritikleismic]]
: Has a kleismic generator, so that (6/5)<sup>6</sup> = 3, and four periods per octave, therefore ''quadri-''.


=== [[Slendric]] ===
; [[Rodan]]
Named after slendro which it resembles very little. (According to {{w|Raden Machjar Angga Koesoemadinata}}'s findings regarding Sundanese gamelan and Western findings regarding gamelan in general, real slendro is almost definitely within the 9&amp;17 temperament area.{{citation needed}})
: Origin: Gene Ward Smith
: Meaning: Named after a Japanese fictional monster. A daikaiju name, from the 8/7 generator.


=== [[Squares]] ===
; [[Semaphore]]
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>.
: Meaning: semi-fourth, i.e. half of a 4/3.


=== [[Starling]] ===
; [[Semisept]]
Origin: Herman Miller (1999)
: 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>


The 126/125 planar temperament, named after Herman Miller's Starling scale. See the temperament's dedicated page for sources.  
; [[Sensi]]
: Originally ''semisixths'', but after it was decided that ''bi-'' or ''semi-'' should be half for periods and ''hemi-'' should be half for generators, that was contracted to ''sensi''.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_97722.html#97733 ''Temperament names''] "The idea here is to use 'hemi' only when the generator is split in [two], not when the period is split in two." —Gene Ward Smith</ref>
: As for ''sensipent'', 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:
:* ''diminished'', which became ''dimipent'' and ''dimisept'',
:* ''sensi'', which became ''sensipent'' and ''sensisept'', and
:* ''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 diminished and negri, both the ''-pent'' and ''-sept'' suffixes fell out of use, and the modern convention of giving canonical 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 ''diminished'' and ''negri'', respectively. For sensi, however, it became the name for the 7-limit temperament, while ''sensipent'' stuck as a name for the 5-limit temperament due to the temperaments' significantly higher accuracy. This originally 5-limit-specific name also became the name for its entire temperament family.  


=== [[Srutal]] ===
; [[Slendric]]
A name proposed by Paul Erlich because the 22-tone MOS looks a lot like the Indian Shruti scale.
: Named after [[slendro]], because a just tuning for slendro may be realized as {{dash|8/7, 8/7, 147/128, 8/7, 7/6}}, with [[1029/1024]] as the difference between [[8/7]] and [[147/128]].<ref>Miller, L. E., & Lieberman, F. (1999). ''Lou Harrison and the American Gamelan''. American Music, 17(2), 146–178. https://doi.org/10.2307/3052712</ref>


=== [[Superkleismic]] ===
; [[Squares]]
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).
: 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>.


=== [[Superpyth]] ===
; [[Starling]]
Meaning: Fifths are sharper than the just ratio of 3/2, hence "Superpythagorean"
: Origin: Herman Miller (1999)
: Meaning: Named after Herman Miller's Starling scale. See the temperament's dedicated page for sources.


=== [[Tetracot]] ===
; [[Srutal]]
Meaning: 3/2 is divided into 4 equal parts, hence "tetra-". Not sure why "-cot" (see Dicot above).
: A name proposed by Paul Erlich because the 22-tone mos looks a lot like the Indian Shruti scale.


=== [[Tricot]] ===
; [[Superkleismic]]
Origin: Paul Erlich (2002)
: 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).


Meaning: 3/1 is divided into three equal parts, hence "tri-". See the temperament's dedicated page for sources.  
; [[Superpyth]]
: Meaning: Fifths are sharper than the just ratio of 3/2, hence ''superpythagorean''.  


=== [[Triforce]] ===
; [[Tetracot]]
Triforce has 3 periods per octave, hence tri-.
: Meaning: 3/2 is divided into 4 equal parts, hence ''tetra-''. Not sure why ''-cot'' (see Dicot above).


=== [[Tritikleismic]] ===
; [[Triforce]]
Tritikleismic has a kleismic generator, so that (6/5)<sup>6</sup> = 3, and 3 periods per octave (therefore tri-.)
: Triforce has 3 periods per octave, hence tri-.


=== [[Valentine]] ===
; [[Tritikleismic]]
Named for Robert C Valentine.
: Tritikleismic has a kleismic generator, so that (6/5)<sup>6</sup> = 3, and 3 periods per octave (therefore tri-.)


=== [[Whitewood]] ===
; [[Valentine]]
Origin: Mike Battaglia (2010)<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95296.html Yahoo! Tuning Group | ''7&14 temperament - 14 out of 35'']</ref>
: Named for Robert C Valentine.


Meaning: Black keys are to Blackwood as white keys are to Whitewood.
; [[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>
: Meaning: Black keys are to Blackwood as white keys are to Whitewood.


=== [[Würschmidt]] ===
; [[Würschmidt]]
Named for physicist José Würschmidt.
: Named for physicist José Würschmidt.


== See also ==
== See also ==
* [[Systematic comma names explained]]
* [[Systematic comma names explained]]
* [[Italic continuum names]]
* [[:Category:Commas by name]]
* [[:Category:Commas by name]]
* [[:Category:Temperament naming]]
* [[:Category:Temperament naming]]