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<span style="display: block; text-align: right;">[[de:maqamisch|Deutsch]]</span> | <span style="display: block; text-align: right;">[[de:maqamisch|Deutsch]]</span> | ||
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Maqamic temperament is a linear mimicry of [[Arabic,_Turkish,_Persian|maqam music]] within the [[Regular_Temperaments|regular mapping paradigm]], much as [[Pelogic_family|pelogic temperament]] is a linear mimicry of the gamelan pelog scale. It is the temperament that you get if you take, at face value, the simplest harmonic mapping consistent with the scalar structure of the maqamat. It deliberately ignores the issue of whether or not those dyads are resolved by the auditory system as such when played melodically (as maqam music is generally a melodic art form), intending instead to serve as a vehicle for the adventurous microtonalist who wants to explore a harmonic context for maqam music. | '''Maqamic temperament''' is a linear mimicry of [[Arabic,_Turkish,_Persian|maqam music]] within the [[Regular_Temperaments|regular mapping paradigm]], much as [[Pelogic_family|pelogic temperament]] is a linear mimicry of the gamelan pelog scale. It is the temperament that you get if you take, at face value, the simplest harmonic mapping consistent with the scalar structure of the maqamat. It deliberately ignores the issue of whether or not those dyads are resolved by the auditory system as such when played melodically (as maqam music is generally a melodic art form), intending instead to serve as a vehicle for the adventurous microtonalist who wants to explore a harmonic context for maqam music. | ||
Melodically, it is a "linearized" version of the maqam modal system; it elevates the notion of "the diatonic scale with quartertones" out of the realm of 24-equal into a higher-dimensional rank 2 temperament. If the maqamat are taken to be rank 2, they all end up being [[MODMOS_Scales|MODMOS]]'s of the proper 3L4s MOS. This MOS takes a neutral third as a generator, and the usual 5L2s diatonic scale is itself a MODMOS. The "quarter-tone" chroma in this setup is exactly half of the usual chromatic semitone from 5L2s (regardless of how it's intonated). | Melodically, it is a "linearized" version of the maqam modal system; it elevates the notion of "the diatonic scale with quartertones" out of the realm of 24-equal into a higher-dimensional rank 2 temperament. If the maqamat are taken to be rank 2, they all end up being [[MODMOS_Scales|MODMOS]]'s of the proper 3L4s MOS. This MOS takes a neutral third as a generator, and the usual 5L2s diatonic scale is itself a MODMOS. The "quarter-tone" chroma in this setup is exactly half of the usual chromatic semitone from 5L2s (regardless of how it's intonated). | ||
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Other attempts to mimic the structure of maqam music within the regular mapping paradigm may exist; this temperament is meant to be the simplest harmonic template possible that is consistent with the scalar structure of maqam music. For example, if one wanted to consider the two neutral thirds and neutral seconds as being different sizes, that would correspond to some sort of rank-3 temperament, and if one wanted to consider the 7/4 as being a "quarter tone" flat of 9/5 (where the quarter tone is the chroma for the 7-note MOS), that would correspond to [[Mohajira|Mohajira temperament]]. | Other attempts to mimic the structure of maqam music within the regular mapping paradigm may exist; this temperament is meant to be the simplest harmonic template possible that is consistent with the scalar structure of maqam music. For example, if one wanted to consider the two neutral thirds and neutral seconds as being different sizes, that would correspond to some sort of rank-3 temperament, and if one wanted to consider the 7/4 as being a "quarter tone" flat of 9/5 (where the quarter tone is the chroma for the 7-note MOS), that would correspond to [[Mohajira|Mohajira temperament]]. | ||
== Temperament data == | |||
=== 11-limit === | |||
[[POTE_tuning|POTE generator]]: 350.934 | [[POTE_tuning|POTE generator]]: 350.934 | ||
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EDOs: [[7edo|7]], [[10edo|10c]], [[17edo|17c]], [[24edo|24d]], [[31edo|31d]] | EDOs: [[7edo|7]], [[10edo|10c]], [[17edo|17c]], [[24edo|24d]], [[31edo|31d]] | ||
==13-limit== | === 13-limit === | ||
The 13-limit version of this temperament eliminates 144/143 and hence 169/168 as well; this signifies that the generator could also be taken as (or intoned as) 16/13, and also that the 6/5's, which are also 7/6's, are evenly divided into two equal 13/12's. | The 13-limit version of this temperament eliminates 144/143 and hence 169/168 as well; this signifies that the generator could also be taken as (or intoned as) 16/13, and also that the 6/5's, which are also 7/6's, are evenly divided into two equal 13/12's. | ||
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EDOs: [[7edo|7]], [[10edo|10c]], [[17edo|17c]], [[24edo|24d]],[[31edo| 31d]] | EDOs: [[7edo|7]], [[10edo|10c]], [[17edo|17c]], [[24edo|24d]],[[31edo| 31d]] | ||
[[Category:Temperament]] | |||
[[Category:Meantone]] | |||
[[Category:Maqamic]] | |||
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