Catakleismic/13-limit chords: Difference between revisions

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Below are listed the [[15-odd-limit]] [[dyadic chord]]s of [[13-limit|tridecimal]] [[catakleismic]] temperament, subject to the condition that no interval smaller than [[12/11]], at 150 [[cent]]s, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[225/224]] are labeled [[Marvel chords|marvel]], by [[385/384]] [[Keenanismic chords|keenanismic]], by [[540/539]] [[Swetismic chords|swetismic]], by [[169/168]] [[Buzurgismic chords|dhanvantarismic]], by [[325/324]] [[Marveltwin chords|marveltwin]], by [[351/350]] [[Ratwolfsmic chords|ratwolfsmic]], by [[676/675]] [[Island chords|island]], by [[729/728]] [[Squbemic chords|squbemic]], by [[1001/1000]] [[Sinbadmic chords|sinbadmic]] and by [[1287/1280]] [[Catadictmic chords|catadictmic]]. [[Rank and codimension|Codimension]]-2 temperaments are labeled marveltwin-island, ratwolfsmic-island, marvel-marveltwin, dhanvantarismic-marveltwin, dhanvantarismic-marvel, keenanismic-ratwolfsmic, swetismic-ratwolfsmic, and marvel-catadictmic. Rank-3 temperaments are labeled [[~~Ragismic family #Beyla|~~beyla]], [[~~Marvel family #Hestia|~~hestia]], [[~~Swetismic temperaments #Hypnos|~~hypnos]], [[~~Marvel family #Catakleismoid|~~catakleismoid]], [[~~Kleismic rank three family #Isimud|~~isimud]], [[~~Marvel family #Undecimal~~ marvel ~~(unimarv)~~|unimarvel]] and [[~~Marvel family #Undecimal~~ marvel ~~(unimarv)~~|tridecimal marvel]]. Finally, if the full tridecimal catakleismic temperament is required, the chord is labeled catakleismic.

Below are listed the [[15-odd-limit]] [[dyadic chord]]s of [[13-limit|tridecimal]] [[catakleismic]] temperament, subject to the condition that no interval smaller than [[12/11]], at 150 [[cent]]s, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[225/224]] are labeled [[Marvel chords|marvel]], by [[385/384]] [[Keenanismic chords|keenanismic]], by [[540/539]] [[Swetismic chords|swetismic]], by [[169/168]] [[Buzurgismic chords|dhanvantarismic]], by [[325/324]] [[Marveltwin chords|marveltwin]], by [[351/350]] [[Ratwolfsmic chords|ratwolfsmic]], by [[676/675]] [[Island chords|island]], by [[729/728]] [[Squbemic chords|squbemic]], by [[1001/1000]] [[Sinbadmic chords|sinbadmic]] and by [[1287/1280]] [[Catadictmic chords|catadictmic]]. [[Rank and codimension|Codimension]]-2 temperaments are labeled marveltwin-island, ratwolfsmic-island, marvel-marveltwin, dhanvantarismic-marveltwin, dhanvantarismic-marvel, keenanismic-ratwolfsmic, swetismic-ratwolfsmic, and marvel-catadictmic. Rank-3 temperaments are labeled [[beyla]], [[hestia]], [[hypnos]], [[catakleismoid]], [[isimud]], [[marvel|unimarvel]] and [[marvel|tridecimal marvel]]. Finally, if the full tridecimal catakleismic temperament is required, the chord is labeled catakleismic.

Tridecimal catakleismic is more richly endowed with chords, and in particular chords of lower complexity, than 7- or 11-limit catakleismic, with harmonies including but not limited to those of marvel temperament and [[the Archipelago]]. It has [[mos scale]]s of size 7, 11, 15, 19, 34 and 53. Triads and tetrads abound even in the 7-note mos, and with the 11-note mos pentads appear.

Revision as of 21:52, 22 June 2025 view source Lériendil (talk \| contribs) autopatrolled, Interface administrators, Sysops 7,649 edits m Lériendil moved page Chords of tridecimal catakleismic to Catakleismic/13-limit chords ← Older edit		Latest revision as of 13:37, 27 August 2025 view source FloraC (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 18,719 edits m Fix linking
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	Below are listed the [[15-odd-limit]] [[dyadic chord]]s of [[13-limit\|tridecimal]] [[catakleismic]] temperament, subject to the condition that no interval smaller than [[12/11]], at 150 [[cent]]s, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[225/224]] are labeled [[Marvel chords\|marvel]], by [[385/384]] [[Keenanismic chords\|keenanismic]], by [[540/539]] [[Swetismic chords\|swetismic]], by [[169/168]] [[Buzurgismic chords\|dhanvantarismic]], by [[325/324]] [[Marveltwin chords\|marveltwin]], by [[351/350]] [[Ratwolfsmic chords\|ratwolfsmic]], by [[676/675]] [[Island chords\|island]], by [[729/728]] [[Squbemic chords\|squbemic]], by [[1001/1000]] [[Sinbadmic chords\|sinbadmic]] and by [[1287/1280]] [[Catadictmic chords\|catadictmic]]. [[Rank and codimension\|Codimension]]-2 temperaments are labeled marveltwin-island, ratwolfsmic-island, marvel-marveltwin, dhanvantarismic-marveltwin, dhanvantarismic-marvel, keenanismic-ratwolfsmic, swetismic-ratwolfsmic, and marvel-catadictmic. Rank-3 temperaments are labeled [[~~Ragismic family #Beyla\|~~beyla]], [[~~Marvel family #Hestia\|~~hestia]], [[~~Swetismic temperaments #Hypnos\|~~hypnos]], [[~~Marvel family #Catakleismoid\|~~catakleismoid]], [[~~Kleismic rank three family #Isimud\|~~isimud]], [[~~Marvel family #Undecimal~~ marvel ~~(unimarv)~~\|unimarvel]] and [[~~Marvel family #Undecimal~~ marvel ~~(unimarv)~~\|tridecimal marvel]]. Finally, if the full tridecimal catakleismic temperament is required, the chord is labeled catakleismic.		Below are listed the [[15-odd-limit]] [[dyadic chord]]s of [[13-limit\|tridecimal]] [[catakleismic]] temperament, subject to the condition that no interval smaller than [[12/11]], at 150 [[cent]]s, appears. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[225/224]] are labeled [[Marvel chords\|marvel]], by [[385/384]] [[Keenanismic chords\|keenanismic]], by [[540/539]] [[Swetismic chords\|swetismic]], by [[169/168]] [[Buzurgismic chords\|dhanvantarismic]], by [[325/324]] [[Marveltwin chords\|marveltwin]], by [[351/350]] [[Ratwolfsmic chords\|ratwolfsmic]], by [[676/675]] [[Island chords\|island]], by [[729/728]] [[Squbemic chords\|squbemic]], by [[1001/1000]] [[Sinbadmic chords\|sinbadmic]] and by [[1287/1280]] [[Catadictmic chords\|catadictmic]]. [[Rank and codimension\|Codimension]]-2 temperaments are labeled marveltwin-island, ratwolfsmic-island, marvel-marveltwin, dhanvantarismic-marveltwin, dhanvantarismic-marvel, keenanismic-ratwolfsmic, swetismic-ratwolfsmic, and marvel-catadictmic. Rank-3 temperaments are labeled [[beyla]], [[hestia]], [[hypnos]], [[catakleismoid]], [[isimud]], [[marvel\|unimarvel]] and [[marvel\|tridecimal marvel]]. Finally, if the full tridecimal catakleismic temperament is required, the chord is labeled catakleismic.

	Tridecimal catakleismic is more richly endowed with chords, and in particular chords of lower complexity, than 7- or 11-limit catakleismic, with harmonies including but not limited to those of marvel temperament and [[the Archipelago]]. It has [[mos scale]]s of size 7, 11, 15, 19, 34 and 53. Triads and tetrads abound even in the 7-note mos, and with the 11-note mos pentads appear.		Tridecimal catakleismic is more richly endowed with chords, and in particular chords of lower complexity, than 7- or 11-limit catakleismic, with harmonies including but not limited to those of marvel temperament and [[the Archipelago]]. It has [[mos scale]]s of size 7, 11, 15, 19, 34 and 53. Triads and tetrads abound even in the 7-note mos, and with the 11-note mos pentads appear.