Mavila temperament modal harmony: Difference between revisions
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[[Mavila]] has a fifth generator significantly flat of a [[3/2|just perfect fifth]] (between 5\9 = 666.7¢ and 4\7 = 685.7¢) so that 4 of them add up to a minor third. Thus we end up with an "antidiatonic" 7-note MOS, such that the LLsLLLs melodic pattern becomes inverted into the ssLsssL pattern. (see [[2L_5s|2L 5s]]) Additionally, while mavila supports 5-note and 7-note MOS's like meantone, it has an additional 9-note "superdiatonic" MOS scale as well, in which the LLsLLLs melodic pattern becomes extended into the LLLsLLLLs pattern. (see[[7L_2s| 7L 2s]]) These correspondences can be harnessed to create an intuitive naming system for the modes of mavila[7] and mavila[9] which reference the names of the existing familiar modes of meantone[7]. | |||
===How to read these charts=== | ===How to read these charts=== | ||
* The 6|0, 5|1, 4|2 markings are an instance of [[Modal_UDP_Notation|Modal UDP Notation]]. | |||
* Additionally, "diatonic" names make use of the following abbreviations:<ul><li>SM - Supermajor</li><li>M - Major</li><li>N - Neutral</li><li>m - Minor</li><li>sm - Subminor</li></ul></li></ul> | |||
=2L3s Pentatonic MOS: Pelogic= | == 2L3s Pentatonic MOS: Pelogic == | ||
4|0 - LsLss - Patet deng | 4|0 - LsLss - Patet deng | ||
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In cyclic permutational order: Patet ding | Patet dong | Patet deng | Patet dung | Patet dang | In cyclic permutational order: Patet ding | Patet dong | Patet deng | Patet dung | Patet dang | ||
==="Diatonic" | === "Diatonic" interval names === | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| style="text-align:center;" | '''UDP''' | | style="text-align:center;" | '''UDP''' | ||
| style="text-align:center;" | ''' | | style="text-align:center;" | '''Pattern''' | ||
| style="text-align:center;" | '''(Patet) Name''' | | style="text-align:center;" | '''(Patet) Name''' | ||
| style="text-align:center;" | '''1''' | | style="text-align:center;" | '''1''' | ||
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|} | |} | ||
=2L5s Heptatonic MOS: Antidiatonic= | == 2L5s Heptatonic MOS: Antidiatonic == | ||
{| class="wikitable" | {| class="wikitable" | ||
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<span style="line-height: 1.5;">In cyclic permutational order: Ionian | Dorian | Phrygian | Lydian | Mixolydian | Aeolian | Locrian</span> | <span style="line-height: 1.5;">In cyclic permutational order: Ionian | Dorian | Phrygian | Lydian | Mixolydian | Aeolian | Locrian</span> | ||
==="Diatonic" Names=== | === "Diatonic" Names === | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| style="text-align:center;" | '''UDP''' | | style="text-align:center;" | '''UDP''' | ||
| style="text-align:center;" | ''' | | style="text-align:center;" | '''Pattern''' | ||
| style="text-align:center;" | '''(Anti)Name''' | | style="text-align:center;" | '''(Anti)Name''' | ||
| style="text-align:center;" | '''1''' | | style="text-align:center;" | '''1''' | ||
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|} | |} | ||
=7L2s Nonatonic MOS: Superdiatonic= | == 7L2s Nonatonic MOS: Superdiatonic == | ||
{| class="wikitable" | {| class="wikitable" | ||
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In cyclic permutational order: Ionian | Corinthian | Dorian | Phrygian | Lydian | Mixolydian | Olympian | Aeolian | Locrian | In cyclic permutational order: Ionian | Corinthian | Dorian | Phrygian | Lydian | Mixolydian | Olympian | Aeolian | Locrian | ||
==="Diatonic" | === "Diatonic" interval names === | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| style="text-align:center;" | '''UDP''' | | style="text-align:center;" | '''UDP''' | ||
| style="text-align:center;" | ''' | | style="text-align:center;" | '''Pattern''' | ||
| style="text-align:center;" | '''(Super)Name''' | | style="text-align:center;" | '''(Super)Name''' | ||
| style="text-align:center;" | '''1''' | | style="text-align:center;" | '''1''' | ||
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|} | |} | ||
=Notes on Naming= | == Notes on Naming == | ||
The modes of the antidiatonic scale are simply named after the existing diatonic scale modes, but with the "Anti-" prefix (e.g. Anti-ionian, Anti-aeolian, etc). The modes of the superdiatonic scale are also named after the existing modes, but contain the "Super" prefix (e.g. Superionian, Superaeolian, etc.). The "anti" and "super" prefixes can be left in to explicitly distinguish which MOS's modes you're talking about, or can be omitted for convention. | The modes of the antidiatonic scale are simply named after the existing diatonic scale modes, but with the "Anti-" prefix (e.g. Anti-ionian, Anti-aeolian, etc). The modes of the superdiatonic scale are also named after the existing modes, but contain the "Super" prefix (e.g. Superionian, Superaeolian, etc.). The "anti" and "super" prefixes can be left in to explicitly distinguish which MOS's modes you're talking about, or can be omitted for convention. | ||