User:Inthar/5L 4s: Difference between revisions
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== Counterpoint == | == Counterpoint == | ||
=== | Features of parahard semiquartal counterpoint: | ||
# The main difficulty is that melodic motions and timings are very unlike what we're used to in heptatonic counterpoint (stepwise motion doesn't end up where we expect it to). | |||
# Fortunately, semiquartal has plenty of small steps and relatively dissonant intervals such as the naiadic, which assists with melodic movement. | |||
The notation used is conventional meantone circle-of-fifths notation plus ^/v (the small step of parahard semiquartal, 1\19 in 19edo and 1\24 in 24edo), which satisfies B^ = Cv. A semifourth can be written C-D^ or C-Ebv. | |||
=== Intervals === | |||
These are all the intervals that occur in semiquartal. Cent values are in 19edo. | |||
* minor mossecond: 63c, dissonant (tends to resolve to unison) | |||
* major mossecond: 189c, suspended (can resolve down or up) | |||
* perfect mosthird: 253c, consonant | |||
** aka semifourth, ultraminor 3rd | |||
* augmented mosthird: 379c, consonant | |||
** aka major 3rd | |||
* minor mosfourth: 316c, consonant | |||
** aka minor 3rd | |||
* major mosfourth: 442c, dissonant (can resolve down to mosthird or up to perfect fourth) | |||
** aka semisixth, naiadic, ultramajor 3rd | |||
* minor mosfifth: 505c, suspended | |||
** aka perfect fourth | |||
* major mosfifth: 633c, dissonant (tends to resolve up to perfect fifth) | |||
* minor mossixth: 568c, (semi-)dissonant (can resolve down to perfect fourth) | |||
* major mossixth: 693c, consonant | |||
** aka perfect fifth | |||
* minor mosseventh: 758c, dissonant (can resolve down to perfect fifth or up to moseighth) | |||
** aka semitenth, ultraminor 6th | |||
* major mosseventh: 884c, consonant | |||
** aka major 6th | |||
* minor moseighth: 821c, consonant | |||
** aka minor 6th | |||
* major moseighth: 947c, consonant | |||
** aka semitwelfth, harmonic 7th | |||
* minor mosninth: 1011c, suspended (can resolve down, less tendency to resolve up) | |||
* major mosninth: 1137c, dissonant (tends to resolve up to octave) | |||
* perfect mostenth: 1200, octave | |||
Be especially careful with naiadics or semitenths in low registers. | |||
=== Modes and functions === | |||
(important functional keys are in '''bold''') | |||
* LLsLsLsLs: C D E Fv Gv G A A^ B^ C | |||
** Function notation: '''I''' '''II''' III '''^III''' #^IV '''V''' '''VI''' '''bvVII''' ^VII '''I''' | |||
** Major pentatonic on tonic, even a version of I-VI-ii-V-I. | |||
* LsLsLsLLs: C D D^ E^ F G G^ A^ B^ C | |||
** Function notation: '''I''' II '''bvIII''' ^III '''IV''' '''V''' '''bvVI''' '''bvVII''' ^VII '''I''' | |||
=== Contrary motion === | |||
==== Unison opening up to 5th ==== | |||
==== Unison opening up to 4th ==== | |||
==== How to deal with naiadics ==== | |||
Let's be honest, I'm no Zhea and I think naiadics are straight-up dissonances. This dissonance is, however, a useful property since these are relatively easy to resolve. | |||
===== Machaut cadences ===== | |||
*G^ C > G D, G^ C D^ > G D E^ | |||
*A^ D > G^ D^, A^ D E^ > G^ D^ F | |||
===== Naiadic to semifourth ===== | |||
=== Parallel moseighths and mosthirds === | |||
=== Other motions === | |||
* Major to semifourth: D G^ B^ > D^ G C | |||
* Semiquartal dominant: G B^ D E^ > G C D^/E | |||
== Melodic approaches: A concultural tradition == | == Melodic approaches: A concultural tradition == | ||
=== In-universe background === | === In-universe background === |