Temperament naming: Difference between revisions

Temperament name examples: sensipent is the only temp with the -pent suffix now
 
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: 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 (temperament)|Diminished and dimipent]]
; [[Diminished (temperament)|Diminished]]
: Origin: Paul Erlich and Carl Lumma (2002)
: 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>
: 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.  
: 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.  
: 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:
: 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.   
:* ''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 {{w|Jean-Philippe Rameau}}'s {{w|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]]
; [[Dominant (temperament)|Dominant]]
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; [[Sensi]]
; [[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 towo, not when the period is split in two." —Gene Ward Smith</ref>
: 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>
: For more information on the origin of the ''-pent'' part of ''sensipent'', see dimipent.
: 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]]
; [[Slendric]]