Temperament naming: Difference between revisions

Regular temperament names come in two types: common names and systematic names. Common names takes a diversity of sources. Systematic names are rigorously derived from an algorithm. This article focuses on common names.  

Below are explained some notable features of naming which might otherwise be confusing to beginners of RTT.  

==== Use of a name for a temperament and its extensions ====

A name can be shared by a temperament as well as its [[strong extension]]s. For example, meantone was defined in the 5-, 7-, and 11-limit, each temperament in the higher limit being a strong extension to the ones in the lower limit. The reason is sometimes you get the higher-limit intervals "for free" when using the lower-limit temperament, in which case we consider extending the temperament this way the ''canonical extension''. Whether an extension is canonical or not depends on a lot of factors, but in general:

* Only the best and most obvious extension is canonical;

==== Use of a related pair of names for a comma and its associated temperament ====

With a few exceptions, a name of a comma implies an eponymous temperament that tempers out the comma alone and vice versa, in which case we consider it an official common name. A description, or descriptive name, is an alternative, typically longer, term that conveys some additional information at the cost of lacking in uniqueness. For example, 225/224 is named the ''marvel comma'', and tempering it out results in the marvel temperament. Meanwhile, it has a descriptive name ''septimal kleisma'' that perhaps dates back to earlier times.  

==== Use of a related pair of names for prime-limit and subgroup temperaments ====

It is often useful to investigate the implied full-prime-limit temperament as well as the subgroup temperaments for a comma, especially in the higher limits where there is a shift of interest towards the subgroups. The following practice was established around 2022–2023 when many higher-limit commas were getting named: if a comma is named the "''X''-isma", then the temperament which tempers out the ''X''-isma in the minimal [[prime subgroup]] containing that comma should be named "''X''-ic" and the temperament which tempers out the ''X''-isma in the minimal [[prime limit]] containing that comma should be named "''X-''ismic". However, that was not the only pattern in use. Below are tabulated all the widely observed and established patterns.  

{| class="wikitable center-all" style="margin: auto;"

| 2 || -ia || -ic || -ian || -ic comma

|-

| 3 || -on || -onic || -y || -y comma

A comma page should ideally always include a mention of both the minimal-prime-subgroup and full-prime-limit temperaments. The temperaments and obvious and/or strong extensions may be discussed either there or on linked-to dedicated pages.  

=== Contemporary rules ===

It has become evident over time that there is a need to formalize when it is or is not okay to propose and accept names or renames of temperaments and commas, especially as more users contribute and offer input and as those users inevitably become more out-of-sync in their preferences. There is a repeated pattern of wasted energy and effort, that many may find demotivating, when conflict inevitably emerges out of a lack of clear ground rules. Therefore it is important to make clear a set of rules which wiki editors can defer to in cases of such conflicts that feel as though they have reached an impasse.

Conventions for naming commas/temperaments:

* The name's complexity should loosely reflect the complexity of the comma/temperament, so that very simple names are not exhausted for very complex commas/temperaments, which would later cause issues if one of those names found a simpler and more elegant comma/temperament to be associated with (see also the section on conventions for renaming). Note that "simple" here does not mean low-accuracy, nor high-accuracy, but rather simple in the conceptual sense; roughly how easy would it be for someone to rediscover this comma/temperament, assuming the rediscoverer has no particular interest in the comma/temperament in question? "Elegant" is meant as similar in meaning to "simple" but more in the direction of a potential subjective appraisal of a comma/temperament for unique properties it has.

* The name must not be offensive, where "offensive" is defined as referring to topics that quite a few would deem controversial and/or where the name is NSFW (not-safe-for-work).

* The name has a fair amount of consensus (e.g. several people in favour versus 2 against). This is not to be interpreted as iron democratic rule but rather as a significant indicator of a good name, along with other reasons detailed.

Most important of the above points are those on: not being NSFW/inappropriate, lack of ambiguity, compliance with existing naming conventions, and consensus.

It should not come as a surprise to anyone that good reasons for renaming commas/temperaments mostly mirror conventions for renaming them:

Strong reasons for renaming a comma and/or temperament are:

* The name can be deemed to be offensive, where offensive is defined as referring to topics that quite a few would deem controversial and/or where the name is NSFW (not-safe-for-work).

* The name change proposal has a fair amount of consensus (e.g. several people in favour versus 2 against). This is not to be interpreted as iron democratic rule but rather as a significant indicator of a good name, along with other reasons detailed.

Weaker but still good and standard reasons for renaming a comma and/or temperament include:

* The previous name is fairly new (within the last year).

Therefore, if one finds oneself at an impasse, refer to this work in progress section and see how many bullet points are in favour of a name or rename. With that said, every rename proposal must have at least one ''strong reason''. The only time it is acceptable for it not to is if the previous name has very little or no usage and the rename does not cause friction (e.g. the recent proposer wants to change the name and there are no objections).

If there are external references (outside of the wiki) beyond the mere proposal of the name, previous names may stay on the wiki for historical purposes, but should be moved out of the spotlights (lead section, infobox, etc.) to avoid the potential interpretation that these names are equally common/standard. It is important to note however that ''if'' there is nothing particularly wrong with the old name, then it is ''standard and common'' to let the old name coexist with the new name with the spirit that people can use whatever name they prefer.

If, however, a name has received enough usage outside the wiki that a rename would be ''significantly'' inconvenient and confusing and/or if there is a very large amount of usage on the wiki so that many people may have seen and remembered the previous name, the previous name should be mentioned in passing towards the beginning of the page for clarity / to avoid confusion and for historical purposes. The only exception to this rule is if the name is NSFW, in which case it should be at the very least moved out of the spotlights if not removed entirely.

This summary of conventions aims to be comprehensive but not exhaustive. Minor reasons may be included if they are abstract in nature rather than overly specific in application.

If you feel something is missing that many would agree on being added and which you do not believe would be controversial to add, please add it. If you feel something should be added but are unsure about how it may be taken, please take to this page's [[Talk:Temperament naming|talk page]], add your reasonings/arguments and await responses and some form of consensus first. Be patient, this full process may take weeks! And as always, do your best to remain objective, professional and respectful.

== Temperament name examples ==

{{Note| This is a closed list. Please explain temperament names in the temperament's dedicated article or catalog page. }}

: 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.  

: 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.  

: 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>

: 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).  

: 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>

: 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: 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.

: 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>

: 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.  

: Origin: Gene Ward Smith (2004)

: Named after [[Graham Breed]]. See [[breedsma]] for sources.

: 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.

: Named for [[Jon Catler]].

: 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.

: 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: 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.

: Named after a type of mobile home.

: 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''.

{{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.

: 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.

: Origin: Gene Ward Smith

: Meaning: A variant of meantone in which the whole tone is flatter than in septimal meantone.

: Origin: Igliashon Jones, Mike Battaglia (2012)

: Meaning: ''Glacial'' sounds like ''Igliashon''.

: 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.

: Origin: Mike Battaglia (2011)

: Named after its 40/27 grave fifth generator. See [[graviton]] for sources.

: Larry Hanson's 34-edo guitar (9\34 generator)

: 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.

: So named because it is in the ''porcupine'' family, but different.

: 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]].

: So named because [[Hermann von Helmholtz]] proposed 1/8-schisma flattened fifths.

 

: 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, because it shares the 5-limit of 7et and maps 7 to one generator, the wedgie is {{multival| 0 0 7 … }}

 

; [[Keemun]]

: Origin: Herman Miller (2006)

: Meaning: Name of a variety of tea which could fit into the same space as "keenan" and replace it.

: This temperament was discovered by [[Dave Keenan]], so an earlier proposed name was ''keenan''. As he did for the comma now known as the [[Keenanisma #Etymology|''keenanisma'']], Dave Keenan resisted the temperament being named after him, and preferred descriptive names to eponymous ones because they would be more useful. Unfortunately, by the time Dave's preference reached [[Paul Erlich]], Paul had already begun to use the name ''keenan'' in a series of diagrams, and so renaming it to something descriptive such as ''minorthirds'' at this point would require an inordinate amount of reordering busywork. Due to this, the effort to rename the temperament continued, but with the additional constraint that the name could not alter its alphabetical ordering with respect to its nearest neighboring temperaments in Paul's diagrams. The name chosen in the end, ''keemun'', was suggested by [[Herman Miller|Herman "Teamouse" Miller]] as a reference to {{w|Keemun}}, a Chinese black tea with a winey and fruity taste, designated as a China Famous Tea.

: Although this name did not satisfy Dave's request for descriptiveness, it fulfilled the ultimate goal of distinguishing itself from the name ''kleismic'', thereby ending the unfortunate practice of calling this temperament, a 7-limit extension of hanson with a much lower accuracy, by ''kleismic'' also. See the temperament's dedicated page for sources.

 

; [[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>

: Meaning: Because it sounded like a 4:7:9:11 machine.

 

; [[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.

 

; [[Marvel]]

: 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.

 

; [[Mavila]]

: 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.

 

; [[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.

 

: Meaning: A temperament closely related to mohajira, which means "migrating".

 

; [[Miracle]]

: 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''.

 

; [[Mohajira]]

: Origin: Jacques Dudon

: Meaning: from Arabic مهاجرة ''muhājirah'' which roughly means "migrating".

 

; [[Mothra]]

: 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.

 

; [[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.

 

; [[Negri]]

: 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.

 

; [[Octacot]]

: Meaning: 3/2 is divided into 8 equal parts, therefore ''octa-''.

 

; [[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.

 

: Origin: Gene Ward Smith (2001)

: Meaning: Named after George Orwell's book 1984, because of the generator of 19\84.

 

; [[Pajara]]

: 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.

 

; [[Porcupine]]

: Origin: Herman Miller (1999)

: Meaning: Named after Herman Miller's ''Mizarian Porcupine Overture'' in 15edo.

 

; [[Quadritikleismic]]

: Has a kleismic generator, so that (6/5)⁶ = 3, and four periods per octave, therefore ''quadri-''.

 

; [[Rodan]]

: Origin: Gene Ward Smith

: Meaning: 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-(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>

 

; [[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.

 

; [[Slendric]]

: 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>

 

; [[Squares]]

: Named from the fact that the wedgie is {{multival| 4 16 9 … }}, which is 2², 4², 3².

 

: Origin: Herman Miller (1999)

: Meaning: 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.

 

; [[Superkleismic]]

: 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 sharper than the just ratio of 3/2, hence ''superpythagorean''.  

 

; [[Tetracot]]

: Meaning: 3/2 is divided into 4 equal parts, hence ''tetra-''. Not sure why ''-cot'' (see Dicot above).

 

; [[Triforce]]

 

; [[Tritikleismic]]

: Tritikleismic has a kleismic generator, so that (6/5)⁶ = 3, and 3 periods per octave (therefore tri-.)

 

: Named for Robert C Valentine.

 

; [[Whitewood]]

: Origin: Mike Battaglia (2010)

: Meaning: Black keys are to Blackwood as white keys are to Whitewood. See the temperament's dedicated page for sources.

 

; [[Würschmidt]]

: Named for physicist José Würschmidt.

 

* [[Systematic comma names explained]]

* [[:Category:Temperament naming]]

 

== References ==

 

[[Category:Temperament naming| ]] <!-- main article -->