Scala analysis: Georgia_GVM198-M
GVM198-M (Voice), Georgia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 177.000 cents 177.000000 2: 349.000 cents 349.000000 3: 567.000 cents 567.000000 4: 764.000 cents 764.000000 5: 887.000 cents 887.000000 6: 1040.000 cents 1040.000000
SHOW/INTERVAL
0: 153.0000 cents 153.0000 1: 177.0000 cents 177.0000 2: 172.0000 cents 172.0000 3: 218.0000 cents 218.0000 4: 197.0000 cents 197.0000 5: 123.0000 cents 123.0000 6: 153.0000 cents 153.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 123.00000 cents 1: 1 153.00000 cents 1: 1 172.00000 cents 1: 1 177.00000 cents 1: 1 197.00000 cents 1: 1 218.00000 cents 2: 1 276.00000 cents 2: 1 320.00000 cents 2: 1 330.00000 cents 2: 1 349.00000 cents 2: 1 390.00000 cents 2: 1 415.00000 cents 3: 1 453.00000 cents 3: 1 473.00000 cents 3: 1 502.00000 cents 3: 1 538.00000 cents 3: 1 567.00000 cents 3: 1 587.00000 cents 4: 1 625.00000 cents 4: 1 650.00000 cents 4: 1 691.00000 cents 4: 1 710.00000 cents 4: 1 720.00000 cents 4: 1 764.00000 cents 5: 1 822.00000 cents 5: 1 843.00000 cents 5: 1 863.00000 cents 5: 1 868.00000 cents 5: 1 887.00000 cents 5: 1 917.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 177.0 349.0 567.0 764.0 887.0 1040.0 177.0 : 172.0 390.0 587.0 710.0 863.0 1040.0 349.0 : 218.0 415.0 538.0 691.0 868.0 1040.0 567.0 : 197.0 320.0 473.0 650.0 822.0 1040.0 764.0 : 123.0 276.0 453.0 625.0 843.0 1040.0 887.0 : 153.0 330.0 502.0 720.0 917.0 1040.0 1040.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 123.0000 .. 218.0000 cents 95.00000 cents 123.00000 cents 2: 276.0000 .. 415.0000 cents 139.00000 cents 58.00000 cents 3: 453.0000 .. 587.0000 cents 134.00000 cents 38.00000 cents 4: 625.0000 .. 764.0000 cents 139.00000 cents 38.00000 cents 5: 822.0000 .. 917.0000 cents 95.00000 cents 58.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 123.00000 cents, class 1 Average step (divided formal octave): 173.3333 cents Largest one step interval : 218.00000 cents Average / Smallest step : 1.409214 Largest / Average step : 1.257692 Largest / Smallest step : 1.772358 Median interval of one step : 174.50000 cents, amount: 0 Least squares average step : 179.19780 cents, oct.: 1075.18681 cents Scale is strictly proper Scale is a mode of a 1040-tone equal temperament with octave 1040.000 cents degrees: 177 349 567 764 887 1040 Least number of segments generator : 521 of 521.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 971 of 971.000 cents and inv. generated superset size: 239 = 233 more = 3983.333% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : DCFEAB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 38.00000 cents Scale diversity : 1.807373 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.421154 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 5.00000 cents Number of recognisable fifths : 3, average 707.0000 cents Number of appreciable fifths : 2, average 700.5000 cents Number of recognisable fourths : 1, average 502.0000 cents Formal octave complements present : 1 = 16.6667% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 35.6724 c. M: 70.6667 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 1 2 1 1 1 P M ME SD: 28.0134 c. M: 51.8571 c. 8: 1 2 1 2 1 1 P D3 SD: 33.8723 c. M: 47.0000 c. 9: 2 1 2 2 1 1 P D3 SD: 32.8297 c. M:-54.1111 c. 11: 2 2 2 2 1 2 SP M ME SD: 19.8272 c. M: 36.0909 c. Schulter Hexatonic 12: 2 2 3 2 1 2 P T3 SD: 19.4155 c. M:-39.6667 c. Raga Janasamohini 13: 2 2 3 2 2 2 SP M ME SD: 22.9637 c. M: 44.0000 c. 14: 2 3 3 2 2 2 P D3 S SD: 20.5035 c. M: 28.4286 c. 15: 3 2 3 3 2 2 SP D3 SD: 14.8648 c. M:-31.0000 c. 18: 3 3 4 3 2 3 SP T3 SD: 10.9134 c. M: 20.3333 c. 22: 4 3 5 4 3 3 SP SD: 10.4634 c. M: 18.0909 c. 23: 4 4 5 4 3 3 SP SD: 12.4765 c. M:-20.8261 c. 26: 4 5 5 5 3 4 SP SD: 9.3452 c. M: 17.0000 c. 27: 5 4 6 5 3 4 SP SD: 8.2307 c. M:-15.5926 c. 29: 5 5 6 5 4 4 SP SD: 7.6813 c. M: 10.8966 c. 33: 6 5 7 6 4 5 SP SD: 6.2043 c. M:-12.0909 c. 35: 6 6 7 7 4 5 SP SD: 5.1309 c. M:-8.5714 c. 41: 7 7 8 8 5 6 SP SD: 4.6136 c. M: 8.9512 c. 42: 7 7 9 8 5 6 SP SD: 3.1083 c. M:-4.4286 c. 48: 8 8 10 9 6 7 SP SD: 3.3222 c. M: 5.6667 c. 53: 9 9 11 10 6 8 SP SD: 2.5686 c. M:-4.2075 c. 75: 13 12 16 14 9 11 SP SD: 1.8467 c. M:-3.2667 c. 83: 14 14 17 16 10 12 SP SD: 1.9516 c. M: 3.1446 c. 95: 16 16 20 18 11 14 SP SD: 1.6165 c. M:-2.3158 c. 101: 17 17 21 19 12 15 SP SD: 1.3935 c. M: 2.0198 c. 110: 19 18 23 21 13 16 SP SD: 1.5266 c. M:-2.6364 c. 117: 20 19 25 22 14 17 SP SD: 1.4935 c. M: 2.3333 c. 128: 22 21 27 24 15 19 SP SD: 1.1704 c. M:-1.7500 c. 143: 24 24 30 27 17 21 SP SD: 1.0258 c. M: 2.4545 c. 158: 27 26 33 30 19 23 SP SD: 0.8353 c. M:-1.6076 c. 170: 29 28 36 32 20 25 SP SD: 0.8685 c. M:-1.9412 c. 176: 30 29 37 33 21 26 SP SD: 0.7820 c. M: 1.7273 c. 211: 36 35 44 40 25 31 SP SD: 0.4424 c. M:-0.9526 c. 218: 37 36 46 41 26 32 SP SD: 0.5611 c. M: 0.7431 c. 253: 43 42 53 48 30 37 SP SD: 0.4932 c. M:-0.9051 c. 328: 56 54 69 62 39 48 SP SD: 0.4738 c. M:-0.8049 c. 354: 60 59 74 67 42 52 SP SD: 0.4032 c. M: 0.7288 c. 381: 65 63 80 72 45 56 SP SD: 0.4170 c. M:-0.7690 c. 387: 66 64 81 73 46 57 SP SD: 0.3924 c. M: 0.7959 c. 400: 68 66 84 76 47 59 SP SD: 0.3559 c. M: 0.6000 c. 429: 73 71 90 81 51 63 SP SD: 0.2199 c. M: 0.3636 c. 611: 104 101 128 116 72 90 SP SD: 0.1544 c. M:-0.2553 c. 787: 134 130 165 149 93 116 SP SD: 0.1586 c. M: 0.2910 c. 822: 140 136 172 156 97 121 SP SD: 0.1488 c. M:-0.1971 c. 829: 141 137 174 157 98 122 SP SD: 0.1126 c. M: 0.2425 c. 998: 170 165 209 189 118 147 SP SD: 0.1308 c. M: 0.1864 c. 1040: 177 172 218 197 123 153 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 160.0000 cents 2 x x x 3 x 4 S SD: 85.8044 cents 3 x x 4 x 5 x S SD: 34.5028 cents 4 x 5 x 6 x 7 S SD: 33.8422 cents 5 x 6:7:8 x 9 S SD: 16.4394 cents 6 x 7:8:9:10:11 S SD: 24.8549 cents 7:8:9:10:11:12:13 H SD: 21.3237 cents 8:9:10:11:12:13:15 SD: 17.2414 cents 9:10:11:12:14:15:16 S SD: 13.6651 cents 10:11:12:14:16:17:18 S SD: 12.3257 cents 12:13:15:17:19:20:22 SD: 12.0825 cents 13:14:16:18:20:22:24 S SD: 10.3434 cents 16:18:20:22:25:27:29 SD: 8.9774 cents 17:19:21:24:26:28:31 SD: 8.7690 cents 18:20:22:25:28:30:33 SD: 1.9015 cents 54:60:66:75:84:90:98 SD: 1.7477 cents 67:74:82:93:104:112:122 SD: 1.1255 cents 85:94:104:118:132:142:155 SD: 0.6356 cents 103:114:126:143:160:172:188 SD: 0.4861 cents 157:174:192:218:244:262:286 SD: 0.4238 cents 175:194:214:243:272:292:319 SD: 0.3839 cents 232:257:284:322:361:387:423 SD: 0.3728 cents 233:258:285:323:362:389:425 SD: 0.3598 cents 242:268:296:336:376:404:441 SD: 0.3325 cents 260:288:318:361:404:434:474 SD: 0.2714 cents 305:338:373:423:474:509:556 SD: 0.2644 cents 317:351:388:440:493:529:578 SD: 0.2388 cents 335:371:410:465:521:559:611 SD: 0.2311 cents 390:432:477:541:606:651:711 SD: 0.1986 cents 408:452:499:566:634:681:744 SD: 0.1839 cents 447:495:547:620:695:746:815 SD: 0.1624 cents 465:515:569:645:723:776:848 SD: 0.1411 cents 550:609:673:763:855:918:1003 SD: 0.1388 cents 568:629:695:788:883:948:1036 SD: 0.1321 cents