User talk:FloraC: Difference between revisions

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Hey Flora, I recently made a new version of the Musical Function Chart that I referenced in out discussion on 33/32. Would you mind looking over this? I hope this version is better than the one I initially referenced in the discussion.

[[File:New_Diatonic_Function_Map.png]]

[[File:New_Diatonic_Function_Map.png|thumb]]

As you can see, 33/32 and its octave compliment 64/33 both appear in regions designated "Superdietic" and "Subdietic". Both "Superdietic" and "Subdietic" are related to "diesis" on account of a diesis- according to one definition- being the smallest usable melodic interval. I know I've found that 33/32 is definitely large enough to be a melodic interval in its own right. However, I also can't help but notice the fact that intervals in both the Superdietic region and the Subdietic region tend to have multiple functions- that is, depending on both the direction of a tonality's construction and the structure of a given chord, they tend to alternate either between primes and seconds or between sevenths and octaves. For instance, while 33/32 functions as a prime in a 22:26:33 triad built on the octave reduced 11th harmonic, it functions as a second in a 28:33:42 triad built on the octave reduced 7th harmonic if 7/4 is interpreted as a type of seventh, as it forms the interval 33/28- a type of minor third- with the iteration of the 7th harmonic directly below it. I also notice that in 159edo, 33/32 is located further away from the perfect unison than the unison-second as depicted in [[SHEFKHED_interval_names|SHEFKHED interval names]]- thus qualifying it for designation as a second, even though it is a perfect fifth above 11/8. I do note that 11/8 forms a similar ratio with 7/6. As you can see from the chart, both 8/7 and 7/6 fall into a region designated "Contravaricant", indicating the high likelihood for intervals in this region to act as either seconds or thirds, yet, while 11/8 could rightly be analyzed as a superdiminished fifth, it more commonly functions a fourth relative to the Tonic- particularly outside of Blues music... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 11:12, 19 September 2020 (UTC)

@@ Line 90: / Line 90: @@
 Hey Flora, I recently made a new version of the Musical Function Chart that I referenced in out discussion on 33/32.  Would you mind looking over this?  I hope this version is better than the one I initially referenced in the discussion.
-[[File:New_Diatonic_Function_Map.png]]
+[[File:New_Diatonic_Function_Map.png|thumb]]
 As you can see, 33/32 and its octave compliment 64/33 both appear in regions designated "Superdietic" and "Subdietic".  Both "Superdietic" and "Subdietic" are related to "diesis" on account of a diesis- according to one definition- being the smallest usable melodic interval.  I know I've found that 33/32 is definitely large enough to be a melodic interval in its own right.  However, I also can't help but notice the fact that intervals in both the Superdietic region and the Subdietic region tend to have multiple functions- that is, depending on both the direction of a tonality's construction and the structure of a given chord, they tend to alternate either between primes and seconds or between sevenths and octaves.  For instance, while 33/32 functions as a prime in a 22:26:33 triad built on the octave reduced 11th harmonic, it functions as a second in a 28:33:42 triad built on the octave reduced 7th harmonic if 7/4 is interpreted as a type of seventh, as it forms the interval 33/28- a type of minor third- with the iteration of the 7th harmonic directly below it.  I also notice that in 159edo, 33/32 is located further away from the perfect unison than the unison-second as depicted in [[SHEFKHED_interval_names|SHEFKHED interval names]]- thus qualifying it for designation as a second, even though it is a perfect fifth above 11/8.  I do note that 11/8 forms a similar ratio with 7/6.  As you can see from the chart, both 8/7 and 7/6 fall into a region designated "Contravaricant", indicating the high likelihood for intervals in this region to act as either seconds or thirds, yet, while 11/8 could rightly be analyzed as a superdiminished fifth, it more commonly functions a fourth relative to the Tonic- particularly outside of Blues music... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 11:12, 19 September 2020 (UTC)