User:VectorGraphics/Tritave interval regions

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We start by dividing the tritave into four large regions, termed "alpha", "beta", "gamma", and "delta" (which are reminiscent of the names of stars, think Alpha Centauri or Gamma Crucis, to fit with the general astronomical theme of tritave theory); the boundary between alpha and beta, and between gamma and delta, vary between 325-360 and 940-975h respectively, which create "interordinal" regions; the variance is due to an additional interordinal region starting at the unison or tritave and working inwards.

The remaining ranges, which are clearly alpha, beta, gamma, and delta, are divided into minor, supraminor, neutral, submajor, and major, creating 40-70 hekt regions roughly corresponding to steps of 26edt. The 13edt subsets of these (the minor, neutral, and major intervals) can be thought of as the basic interval categories: 2 alphas, 2 betas, 2 gammas, and 2 deltas form an enneatonic scale. The additional intervals provided by 26edt function like octaveful neutrals or interordinals.


These interval ranges are still, however, quite large, so extra granularity can be added by splitting each into three: small, medium, and large.


For reference, a just octave falls into the neutral gamma category, specifically around 820 hekts.

0h Unison
0-20h Unison-alpha Small
20-40h Medium
40-60h Large
60-85h Minor alpha Small
85-110h Medium
110-130h Large
130-145h Supraminor alpha Small
145-160h Medium
160-180h Large
180-195h Neutral alpha Small
195-210h Medium
210-225h Large
225-240h Submajor alpha Small
240-260h Medium
260-280h Large
280-292h Major alpha Small
292-310h Medium
310-325h Large
325-340h Alpha-beta Small
340-355h Medium
355-365h Large
365-385h Minor beta Small
385-405h Medium
405-425h Large
425-445h Supraminor beta Small
445-460h Medium
460-475h Large
475-490h Neutral beta Small
490-510h Medium
510-525h Large
525-540h Submajor beta Small
540-560h Medium
560-580h Large
580-595h Major beta Small
595-610h Medium
610-630h Large
630-645h Beta-gamma Small
645-655h Medium
655-670h Large
670-690h Minor gamma Small
690-705h Medium
705-720h Large
720-740h Supraminor gamma Small
740-760h Medium
760-775h Large
775-790h Neutral gamma Small
790-810h Medium
810-825h Large
825-840h Submajor gamma Small
840-855h Medium
855-875h Large
875-895h Major gamma Small
895-915h Medium
915-935h Large
935-945h Gamma-delta Small
945-960h Medium
960-975h Large
975-990h Minor delta Small
990-1008h Medium
1008-1020h Large
1020-1040h Supraminor delta Small
1040-1060h Medium
1060-1075h Large
1075-1090h Neutral delta Small
1090-1105h Medium
1105-1120h Large
1120-1140h Submajor delta Small
1140-1155h Medium
1155-1170h Large
1170-1190h Major delta Small
1190-1215h Medium
1215-1240h Large
1240-1260h Delta-tritave Small
1260-1280h Medium
1280-1300h Large
1300h Tritave