User:Lhearne/Extra-Diatonic Intervals: Difference between revisions

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Alternatively as a middle ground possibility, one could keep 'S' and 's' for both 81/80 and 64/63, but where for 81/80 the long-form for 's' in this case is small, and for 'S' remains 'supra'. Then we can supposedly have it both ways, where the long-form shows us that they are different, but no short-form qualifiers are added, so these differences can be ignored in almost all scales and edos, but are there when needed. If for some reason you need an interval 64/63 above m3, or you need both a 81/80 and a 64/63 above 4/3, then for indicators 'small' and 'supra' could be written 'sl' and 'SR'.

For both of these options N4 can be used like it is in the further divergent scheme to indicated an 11/8, 33/32 above 4/3 (and N5 to indicate 33/32 below 3/2). For both options, as in the further divergent scheme, the ability to name the interval 33/32 is lost while the ability to name the intervals 81/80 and 64/63 is gained. This is because N1, between M1 and m1, is P1 rather than 33/32 above P1.

For both of these options N4 can be used like it is in the further divergent scheme to indicated an 11/8, 33/32 above 4/3 (and N5 to indicate 33/32 below 3/2). For both options, as in the further divergent scheme, the ability to name the interval 33/32 is lost while the ability to name the intervals 81/80 and 64/63 is gained. This is because N1, between M1 and m1, is P1 rather than 33/32 above P1. This can easily be solved. We redefine N so that it is between either Major and minor, or between perfect and augmented (for P1 and P4) or perfect and diminished (for P8 and P5).

41edo using these alternative schemes:

P1 S1 sm2 m2 Lm2 N2 zM2 M2 SM2 sm3 m3 Lm3 N3 zM3 M3 SM3 s4 P4 L4 N4 d5 A4 N5 z5 P5 S5 sm6 m6 Lm6 N6 zM6 M6 SM6 sm7 m7 Lm7 N7 zM7 M7 SM7 s8 P8.

P1 S1 sm2 m2 Sm2 N2 sM2 M2 SM2 sm3 m3 Sm3 N3 sM3 M3 SM3 s4 P4 S4 N4 d5 A4 N5 sM5 P5 S5 sm6 m6 Sm6 N6 sM6 M6 SM6 sm7 m7 Sm7 N7 sM7 M7 SM7 s8 P8.

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 Alternatively as a middle ground possibility, one could keep 'S' and 's' for both 81/80 and 64/63, but where for 81/80 the long-form for 's' in this case is small, and for 'S' remains 'supra'. Then we can supposedly have it both ways, where the long-form shows us that they are different, but no short-form qualifiers are added, so these differences can be ignored in almost all scales and edos, but are there when needed. If for some reason you need an interval 64/63 above m3, or you need both a 81/80 and a 64/63 above 4/3, then for indicators 'small' and 'supra' could be written 'sl' and 'SR'.
-For both of these options N4 can be used like it is in the further divergent scheme to indicated an 11/8, 33/32 above 4/3 (and N5 to indicate 33/32 below 3/2). For both options, as in the further divergent scheme, the ability to name the interval 33/32 is lost while the ability to name the intervals 81/80 and 64/63 is gained. This is because N1, between M1 and m1, is P1 rather than 33/32 above P1.
+For both of these options N4 can be used like it is in the further divergent scheme to indicated an 11/8, 33/32 above 4/3 (and N5 to indicate 33/32 below 3/2). For both options, as in the further divergent scheme, the ability to name the interval 33/32 is lost while the ability to name the intervals 81/80 and 64/63 is gained. This is because N1, between M1 and m1, is P1 rather than 33/32 above P1. This can easily be solved. We redefine N so that it is between either Major and minor, or between perfect and augmented (for P1 and P4) or perfect and diminished (for P8 and P5).
+edo using these alternative schemes:
+P1 S1 sm2 m2 Lm2 N2 zM2 M2 SM2 sm3 m3 Lm3 N3 zM3 M3 SM3 s4 P4 L4 N4 d5 A4 N5 z5 P5 S5 sm6 m6 Lm6 N6 zM6 M6 SM6 sm7 m7 Lm7 N7 zM7 M7 SM7 s8 P8.
+P1 S1 sm2 m2 Sm2 N2 sM2 M2 SM2 sm3 m3 Sm3 N3 sM3 M3 SM3 s4 P4 S4 N4 d5 A4 N5 sM5 P5 S5 sm6 m6 Sm6 N6 sM6 M6 SM6 sm7 m7 Sm7 N7 sM7 M7 SM7 s8 P8.