User:Inthar/5L 4s: Difference between revisions

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Features of parahard semiquartal 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).
# 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.
# Fortunately, semiquartal has plenty of small steps and relatively dissonant intervals such as the supermajor third, 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.
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 ===
=== Intervals ===
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** aka minor 3rd
** aka minor 3rd
* major 3-step: 442c, dissonant (can resolve down to mosthird or up to perfect fourth)
* major 3-step: 442c, dissonant (can resolve down to mosthird or up to perfect fourth)
** aka semisixth, naiadic, ultramajor 3rd
** aka supermajor 3rd
* minor 4-step: 505c, suspended
* minor 4-step: 505c, suspended
** aka perfect fourth
** aka perfect fourth
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==== Unison opening up to 4th ====
==== Unison opening up to 4th ====
==== How to deal with naiadics ====
==== 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 =====
===== Machaut cadences =====
*G^ C > G D, G^ C D^ > G D E^
*G^ C > G D, G^ C D^ > G D E^
*A^ D > G^ D^, A^ D E^ > G^ D^ F
*A^ D > G^ D^, A^ D E^ > G^ D^ F


===== Naiadic to semifourth =====
===== Supermajor to semifourth =====


=== Parallel moseighths and mosthirds ===
=== Parallel perfect 7-steps and perfect 2-steps ===
7-steps work best for parallel motion within the octave. Parallel 2-steps should be voiced as tenths (11-steps) or wider voicings.
=== Other motions ===
=== Other motions ===
* Major to semifourth: D G^ B^ > D^ G C
* Major to semifourth: D G^ B^ > D^ G C