Myna/13-limit chords: Difference between revisions

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Below are listed the 15-limit [[Dyadic_chord|dyadic chords]] of [[~~Starling_temperaments~~#~~Myna temperament-~~13-limit|tridecimal myna temperament]], subject to the condition that no interval smaller than [[12/11|12/11]] appears. However since 144/143 is tempered out, 12/11 is the same as 13/12. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 126/125 are labeled starling, by 176/175 valinorsmic, by 441/440 werckismic, by 540/539 swetismic, by 144/143 grossmic, by 351/350 ratwolfsmic, by 352/351 minthmic, by 640/637 huntmic, by 1575/1573 nicolic, and by 1001/1000 sinbadmic. [[Rank_and_codimension|Codimension]] two temperaments are labeled thrush, starling-grossmic, werckismic-grossmic, rastmic-grossmic, swetismic-mynucmic, valinorsmic-grossmic, valinorsmic-huntmic, valinorsmic-ratwolfsmic, valinorsmic-swetismic, grossmic-ratwolfsmic. Rank three temperaments are labeled [[Starling_family#Thrush-Bluebird|bluebird]], [[Starling_family#Aplonis-13-limit|aplonis]], [[Breed_family#Jove, aka Wonder-Jofur|jofur]], [[Breed_family#Jove, aka Wonder-Jovis|jovis]], [[Orwellismic_family#Guanyin-13-limit|guanyin]], and [[Valinorismic_temperaments#Mandos|mandos]]. If the full tridecimal myna temperament is required, the chord is labeled myna.

Below are listed the 15-limit [[Dyadic_chord|dyadic chords]] of [[Starling temperaments#13-limit|tridecimal myna temperament]], subject to the condition that no interval smaller than [[12/11|12/11]] appears. However since 144/143 is tempered out, 12/11 is the same as 13/12. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 126/125 are labeled starling, by 176/175 valinorsmic, by 441/440 werckismic, by 540/539 swetismic, by 144/143 grossmic, by 351/350 ratwolfsmic, by 352/351 minthmic, by 640/637 huntmic, by 1575/1573 nicolic, and by 1001/1000 sinbadmic. [[Rank_and_codimension|Codimension]] two temperaments are labeled thrush, starling-grossmic, werckismic-grossmic, rastmic-grossmic, swetismic-mynucmic, valinorsmic-grossmic, valinorsmic-huntmic, valinorsmic-ratwolfsmic, valinorsmic-swetismic, grossmic-ratwolfsmic. Rank three temperaments are labeled [[Starling_family#Thrush-Bluebird|bluebird]], [[Starling_family#Aplonis-13-limit|aplonis]], [[Breed_family#Jove, aka Wonder-Jofur|jofur]], [[Breed_family#Jove, aka Wonder-Jovis|jovis]], [[Orwellismic_family#Guanyin-13-limit|guanyin]], and [[Valinorismic_temperaments#Mandos|mandos]]. If the full tridecimal myna temperament is required, the chord is labeled myna.

Tridecimal myna has MOS of size 7, 11, 15, 19, 23, 27, 31 and 58. Triads and tetrads abound even in the 7-note MOS, and with the 19-note MOS pentads appear. There are also four rastmic-grossmic septads, which appear with the 31-note MOS.

Revision as of 21:52, 22 June 2025 view source Lériendil (talk \| contribs) 8,046 edits m Lériendil moved page Chords of tridecimal myna to Myna/13-limit chords ← Older edit		Latest revision as of 06:08, 28 September 2026 view source Jdood (talk \| contribs) 94 edits No edit summary Tag: Visual edit
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	Below are listed the 15-limit [[Dyadic_chord\|dyadic chords]] of [[~~Starling_temperaments~~#~~Myna temperament-~~13-limit\|tridecimal myna temperament]], subject to the condition that no interval smaller than [[12/11\|12/11]] appears. However since 144/143 is tempered out, 12/11 is the same as 13/12. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 126/125 are labeled starling, by 176/175 valinorsmic, by 441/440 werckismic, by 540/539 swetismic, by 144/143 grossmic, by 351/350 ratwolfsmic, by 352/351 minthmic, by 640/637 huntmic, by 1575/1573 nicolic, and by 1001/1000 sinbadmic. [[Rank_and_codimension\|Codimension]] two temperaments are labeled thrush, starling-grossmic, werckismic-grossmic, rastmic-grossmic, swetismic-mynucmic, valinorsmic-grossmic, valinorsmic-huntmic, valinorsmic-ratwolfsmic, valinorsmic-swetismic, grossmic-ratwolfsmic. Rank three temperaments are labeled [[Starling_family#Thrush-Bluebird\|bluebird]], [[Starling_family#Aplonis-13-limit\|aplonis]], [[Breed_family#Jove, aka Wonder-Jofur\|jofur]], [[Breed_family#Jove, aka Wonder-Jovis\|jovis]], [[Orwellismic_family#Guanyin-13-limit\|guanyin]], and [[Valinorismic_temperaments#Mandos\|mandos]]. If the full tridecimal myna temperament is required, the chord is labeled myna.		Below are listed the 15-limit [[Dyadic_chord\|dyadic chords]] of [[Starling temperaments#13-limit\|tridecimal myna temperament]], subject to the condition that no interval smaller than [[12/11\|12/11]] appears. However since 144/143 is tempered out, 12/11 is the same as 13/12. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 126/125 are labeled starling, by 176/175 valinorsmic, by 441/440 werckismic, by 540/539 swetismic, by 144/143 grossmic, by 351/350 ratwolfsmic, by 352/351 minthmic, by 640/637 huntmic, by 1575/1573 nicolic, and by 1001/1000 sinbadmic. [[Rank_and_codimension\|Codimension]] two temperaments are labeled thrush, starling-grossmic, werckismic-grossmic, rastmic-grossmic, swetismic-mynucmic, valinorsmic-grossmic, valinorsmic-huntmic, valinorsmic-ratwolfsmic, valinorsmic-swetismic, grossmic-ratwolfsmic. Rank three temperaments are labeled [[Starling_family#Thrush-Bluebird\|bluebird]], [[Starling_family#Aplonis-13-limit\|aplonis]], [[Breed_family#Jove, aka Wonder-Jofur\|jofur]], [[Breed_family#Jove, aka Wonder-Jovis\|jovis]], [[Orwellismic_family#Guanyin-13-limit\|guanyin]], and [[Valinorismic_temperaments#Mandos\|mandos]]. If the full tridecimal myna temperament is required, the chord is labeled myna.

	Tridecimal myna has MOS of size 7, 11, 15, 19, 23, 27, 31 and 58. Triads and tetrads abound even in the 7-note MOS, and with the 19-note MOS pentads appear. There are also four rastmic-grossmic septads, which appear with the 31-note MOS.		Tridecimal myna has MOS of size 7, 11, 15, 19, 23, 27, 31 and 58. Triads and tetrads abound even in the 7-note MOS, and with the 19-note MOS pentads appear. There are also four rastmic-grossmic septads, which appear with the 31-note MOS.