>Query 1: Are Relative Harmonic Entropy, Sonance, and Cordance
equivalent?

The last two Words(?) were invented by Monzo. Sonance is not
equivalence to cordance, because sonance is dependent on musical
context and perhaps even conventions. Cordance does seem
qualitatively similar to harmonic entropy; although roughness seems
to be, in addition to harmonic entropy, a component of cordance.

>Query 2: We do not seem to have their units. If we do not have, we
should
>devise some measuring standard, however arbitrary, for study and
>comparison.

Though arbitrary, the vertical axis ranges from 4.29 to 6.08 in the
0.6% case. If you think it would be worth my while, I will repost the
graphs with tick marks and numbers to the left of the vertical axis,
and if you wish, a grid of parallel horizontal lines across the graph.

>Query 3: Now, I find myself intensely interested in the the RHE of
the
>following:

For the following, I will assume that by 'Relative' you mean relative
to the harmonic entropy of the unison, and that for the scales in
(i), (ii), and (iii), you mean to play a continuous drone at a pitch
of 0 cents. Fine means s=.006%, ordinary means s=.012%.

(i) 22-shruti gamut

I'm assuming a range from -550 to 1950 cents against the single drone
pitch at 0 cents.

cents fine HE ordinary HE
-498 1.4394 0.61959
-408 1.6526 0.67357
-386 1.5281 0.65559
-316 1.572 0.67198
-294 1.6476 0.6792
-204 1.6288 0.68845
-182 1.6314 0.69061
-112 1.6517 0.71196
-90 1.666 0.72601
0 0 0
90 1.666 0.72601
112 1.6517 0.71196
182 1.6314 0.69061
204 1.6288 0.68845
294 1.6476 0.6792
316 1.572 0.67198
386 1.5281 0.65559
408 1.6526 0.67357
498 1.4394 0.61959
520 1.6571 0.66059
590 1.6026 0.67538
612 1.6288 0.68461
702 1.2515 0.54437
792 1.6395 0.68719
814 1.5952 0.68118
884 1.4826 0.63804
906 1.6544 0.66726
996 1.6473 0.68036
1018 1.6004 0.67951
1088 1.6367 0.69541
1110 1.647 0.70642
1200 0.66624 0.29534
1290 1.6448 0.70453
1312 1.6367 0.69588
1382 1.6399 0.68105
1404 1.5879 0.67669
1494 1.6483 0.67859
1516 1.6131 0.68782
1586 1.4008 0.60633
1608 1.661 0.65414
1698 1.5469 0.66151
1720 1.6507 0.67775
1790 1.6309 0.69213
1812 1.6425 0.70003
1902 0.93502 0.41031

(ii) 22-teT scale

cents fine HE ordinary HE
-545.45 1.6362 0.693
-490.91 1.4982 0.62514
-436.36 1.6136 0.68818
-381.82 1.5434 0.65703
-327.27 1.6204 0.67687
-272.73 1.6069 0.67972
-218.18 1.6387 0.68654
-163.64 1.6351 0.6938
-109.09 1.6529 0.71348
-54.545 1.7098 0.75443
0 0 0
54.545 1.7098 0.75443
109.09 1.6529 0.71348
163.64 1.6351 0.6938
218.18 1.6387 0.68654
272.73 1.6069 0.67972
327.27 1.6204 0.67687
381.82 1.5434 0.65703
436.36 1.6136 0.68818
490.91 1.4982 0.62514
545.45 1.6362 0.693
600 1.639 0.67904
654.55 1.6533 0.70119
709.09 1.3601 0.55604
763.64 1.644 0.70204
818.18 1.6019 0.68205
872.73 1.5844 0.64978
927.27 1.632 0.69098
981.82 1.6223 0.67351
1036.4 1.6337 0.68101
1090.9 1.6377 0.69664
1145.5 1.6782 0.72976
1200 0.66624 0.29534
1254.5 1.6753 0.7276
1309.1 1.6382 0.69668
1363.6 1.6159 0.68484
1418.2 1.6344 0.68267
1472.7 1.5561 0.65817
1527.3 1.6298 0.69153
1581.8 1.4306 0.60928
1636.4 1.64 0.69406
1690.9 1.5752 0.6631
1745.5 1.6106 0.68387
1800 1.6361 0.69546
1854.5 1.6723 0.71355
1909.1 1.1255 0.43155
1963.6 1.6539 0.71382

(iii) the first 16 partials of a note (like C, for example)

cents fine HE ordinary HE
0 0 0
1200 0.66624 0.29534
1902 0.93501 0.41031
2400 1.0891 0.4771
2786.3 1.1808 0.51624
3102 1.2533 0.54603
3368.8 1.2999 0.56509
3600 1.338 0.5821
3803.9 1.3768 0.59527
3986.3 1.4 0.60457
4151.3 1.4267 0.61428
4302 1.4463 0.62798
4440.5 1.4536 0.62429
4568.8 1.4719 0.63412
4688.3 1.4777 0.63309
4800 1.4912 0.64149

(iv) The distance between each of the adjescent shruti-s

I wonder -- isn't it rare to hear adjacent shruti-s played at the
same time?

Anyhow,

cents fine HE ordinary HE
22 5.9783 6.2964
70 5.9782 6.6764
90 5.9596 6.6555

(v) The distance between each of the adjescent chromatic JI notes

They should all appear below (?)

(vi) The various intervals (there are so many of them)

That appear in the shruti scale?

cents fine HE ordinary HE
0 0 0
22 1.6846 0.36698
70 1.6845 0.74699
90 1.666 0.72601
92 1.6642 0.72439
112 1.6517 0.71196
114 1.651 0.71095
134 1.6468 0.70241
180 1.6315 0.69084
182 1.6314 0.69061
202 1.6279 0.68869
204 1.6288 0.68845
224 1.629 0.68581
226 1.6248 0.68557
272 1.6048 0.67963
274 1.6111 0.67991
294 1.6476 0.6792
296 1.6453 0.67843
316 1.572 0.67198
318 1.575 0.6723
338 1.6456 0.68499
364 1.6533 0.67784
384 1.5323 0.65602
386 1.5281 0.65559
406 1.6489 0.67127
408 1.6526 0.67357
428 1.6227 0.68669
430 1.6187 0.68712
476 1.6577 0.65939
478 1.6504 0.65437
498 1.4394 0.61959
500 1.4443 0.62007
520 1.6571 0.66059
522 1.6608 0.66562
568 1.6343 0.68082
588 1.5942 0.67499
590 1.6026 0.67538
610 1.6323 0.6837
612 1.6288 0.68461
632 1.6329 0.694
678 1.6786 0.63778
680 1.6688 0.6273
700 1.2608 0.54523
702 1.2515 0.54437
722 1.6532 0.6177
724 1.6698 0.62861
770 1.6394 0.69876
772 1.6376 0.69769
792 1.6395 0.68719
794 1.6404 0.6862
814 1.5952 0.68118
816 1.597 0.68151
836 1.6433 0.69012
862 1.6582 0.67092
882 1.4882 0.63867
884 1.4826 0.63804
904 1.6487 0.66334
906 1.6544 0.66726
926 1.6334 0.69072
928 1.6313 0.69107
974 1.5783 0.66976
976 1.5888 0.67049
996 1.6473 0.68036
998 1.6457 0.68077
1018 1.6004 0.67951
1020 1.6018 0.67939
1066 1.6323 0.68784
1086 1.636 0.69459
1088 1.6367 0.69541
1108 1.6457 0.70521
1110 1.647 0.70642
1130 1.6612 0.72165
1178 1.6837 0.51067
1200 0.66624 0.29534
1222 1.6839 0.51024
1270 1.6563 0.71918
1290 1.6448 0.70453
1292 1.6441 0.70345
1312 1.6367 0.69588
1314 1.6358 0.69537
1334 1.6314 0.69084
1380 1.6377 0.68167
1382 1.6399 0.68105
1402 1.5889 0.67645
1404 1.5879 0.67669
1424 1.6441 0.68544
1426 1.6449 0.68609
1472 1.5511 0.65781
1474 1.5658 0.65891
1494 1.6483 0.67859
1496 1.6459 0.68017
1516 1.6131 0.68782
1518 1.6141 0.68836
1538 1.6427 0.69465
1564 1.6655 0.65715
1584 1.4089 0.60714
1586 1.4008 0.60633
1606 1.6509 0.64784
1608 1.661 0.65414
1628 1.6481 0.69256
1630 1.6459 0.69348
1676 1.6467 0.67551
1678 1.6446 0.67367
1698 1.5469 0.66151
1700 1.5496 0.66188
1720 1.6507 0.67775
1722 1.6518 0.67937
1768 1.6409 0.68522
1788 1.6294 0.69148
1790 1.6309 0.69213
1810 1.641 0.69919
1812 1.6425 0.70003
1832 1.652 0.71138
1880 1.6771 0.56427
1902 0.93502 0.41031
1924 1.6795 0.56528
1972 1.6467 0.70842
1992 1.6372 0.69782
1994 1.6369 0.69709
2014 1.6351 0.69125
2016 1.6365 0.69072
2036 1.6195 0.68677
2084 1.5744 0.67276
2106 1.6483 0.68496
2128 1.6379 0.69247
2176 1.5187 0.63657
2196 1.6566 0.67557
2198 1.6546 0.67896
2218 1.6352 0.69064
2220 1.6369 0.68993
2288 1.6159 0.68522
2310 1.6362 0.6927
2400 1.0891 0.4771

(vii) The various "jumps" using which a raga is imporvised.

They should all appear above (?)

> Let me add
>here, that a raga is never developed linearly and randomly: It is
>elaborated by expanding the 'area' created by reaching one note to
>the
>next note non-sequentially. Like Sa to Ma, Pa to Re, Dha to Ga, etc.

>There is a definite number of factors which contribute to the mood
>of a
>raga. This mood can be empirically studied in terms of these known
>factors. The information on RHE of the above, I feel intuitionally,
>will
>be very significant.

>Your insight in these matters will be very valuable.

>Thank you for your time and input,
>Haresh.

Looking forward to more,
Paul