Scala analysis: Benin_Trombone_01
Benin 1 (Trombone), Benin
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 188.000 cents 188.000000 2: 515.000 cents 515.000000 3: 701.000 cents 701.000000 4: 893.000 cents 893.000000 5: 1001.000 cents 1001.000000 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 199.0000 cents 199.0000 1: 188.0000 cents 188.0000 2: 327.0000 cents 327.0000 3: 186.0000 cents 186.0000 4: 192.0000 cents 192.0000 5: 108.0000 cents 108.0000 6: 199.0000 cents 199.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 108.00000 cents 1: 1 186.00000 cents 1: 1 188.00000 cents 1: 1 192.00000 cents 1: 1 199.00000 cents 1: 1 327.00000 cents 2: 1 300.00000 cents 2: 1 307.00000 cents 2: 1 378.00000 cents 2: 1 387.00000 cents 2: 1 513.00000 cents 2: 1 515.00000 cents 3: 1 486.00000 cents 3: 1 495.00000 cents 3: 1 499.00000 cents 3: 1 701.00000 cents 3: 1 705.00000 cents 3: 1 714.00000 cents 4: 1 685.00000 cents 4: 1 687.00000 cents 4: 1 813.00000 cents 4: 1 822.00000 cents 4: 1 893.00000 cents 4: 1 900.00000 cents 5: 1 873.00000 cents 5: 1 1001.00000 cents 5: 1 1008.00000 cents 5: 1 1012.00000 cents 5: 1 1014.00000 cents 5: 1 1092.00000 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 : 188.0 515.0 701.0 893.0 1001.0 1200.0 188.0 : 327.0 513.0 705.0 813.0 1012.0 1200.0 515.0 : 186.0 378.0 486.0 685.0 873.0 1200.0 701.0 : 192.0 300.0 499.0 687.0 1014.0 1200.0 893.0 : 108.0 307.0 495.0 822.0 1008.0 1200.0 1001.0: 199.0 387.0 714.0 900.0 1092.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 108.0000 .. 327.0000 cents 219.00000 cents 108.00000 cents 2: 300.0000 .. 515.0000 cents 215.00000 cents -27.00000 cents 3: 486.0000 .. 714.0000 cents 228.00000 cents -29.00000 cents 4: 685.0000 .. 900.0000 cents 215.00000 cents -29.00000 cents 5: 873.0000 .. 1092.0000 cents 219.00000 cents -27.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 108.00000 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 327.00000 cents Average / Smallest step : 1.851852 Largest / Average step : 1.635000 Largest / Smallest step : 3.027778 Median interval of one step : 190.00000 cents, amount: 0 Least squares average step : 209.86813 cents, oct.: 1259.20879 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 188 515 701 893 1001 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 809 of 809.000 cents and inv. generated superset size: 358 = 352 more = 5966.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : CFBDAE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 14.00000 cents Scale diversity : 1.428386 Lumma stability : 0.180000 Lumma impropriety factor : 0.093333 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 : 2.00000 cents Number of recognisable fifths : 4, average 701.7500 cents Number of appreciable fifths : 3, average 706.6667 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 215.0000 cents: 3 -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 73.2803 c. M: 115.0000 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 2 1 1 1 1 P M ME SD: 20.6345 c. M: 35.8571 c. 12: 2 3 2 2 1 2 P G D3 SD: 8.3666 c. M: 15.0000 c. Mixolydian Hexatonic, P'yongjo: Korea, Yosen: Japan, Raga Darbar, Narayani, Suposhini, Andolika, Gorakh Kalyan, Rakta Hauns 19: 3 5 3 3 2 3 P G D3 SD: 7.1205 c. M: 9.7368 c. 31: 5 8 5 5 3 5 P G D3 SD: 6.1123 c. M: 11.7742 c. 44: 7 12 7 7 4 7 N D3 SD: 5.7520 c. M:-8.0909 c. 51: 8 14 8 8 5 8 N D3 SD: 4.9670 c. M:-10.7647 c. 56: 9 15 9 9 5 9 N D3 SD: 4.9761 c. M:-7.0000 c. 58: 9 16 9 9 5 10 N SD: 3.8248 c. M: 7.8966 c. 63: 10 17 10 10 6 10 N D3 SD: 4.0509 c. M:-8.5238 c. 65: 10 18 10 10 6 11 N SD: 3.6271 c. M: 6.8462 c. 70: 11 19 11 11 6 12 N SD: 2.9393 c. M: 6.7143 c. 74: 12 20 11 12 7 12 N SD: 3.9411 c. M:-6.5946 c. 75: 12 20 12 12 7 12 N D3 SD: 3.9158 c. M:-7.0000 c. 77: 12 21 12 12 7 13 N SD: 2.4663 c. M: 4.6883 c. 89: 14 24 14 14 8 15 N SD: 2.1526 c. M: 3.2472 c. 109: 17 30 17 17 10 18 N SD: 1.9047 c. M:-3.5872 c. 110: 17 30 17 18 10 18 N SD: 2.1957 c. M: 2.8182 c. 114: 18 31 18 18 10 19 N SD: 2.0407 c. M:-4.2632 c. 121: 19 33 19 19 11 20 N SD: 1.3606 c. M:-3.1322 c. 128: 20 35 20 20 12 21 N SD: 1.5975 c. M: 2.3750 c. 133: 21 36 21 21 12 22 N SD: 1.3294 c. M:-2.7594 c. 140: 22 38 22 22 13 23 N SD: 1.3041 c. M:-1.8571 c. 152: 24 41 24 24 14 25 N SD: 1.3958 c. M: 1.8421 c. 161: 25 44 25 26 14 27 N SD: 1.3191 c. M: 2.2422 c. 168: 26 46 26 27 15 28 N SD: 1.1369 c. M: 2.2857 c. 180: 28 49 28 29 16 30 N SD: 1.0541 c. M: 1.6667 c. 212: 33 58 33 34 19 35 N SD: 0.8976 c. M:-1.3396 c. 223: 35 61 34 36 20 37 N SD: 0.8976 c. M:-1.5919 c. 224: 35 61 35 36 20 37 N SD: 0.8845 c. M:-1.6429 c. 231: 36 63 36 37 21 38 N SD: 0.8546 c. M:-1.5974 c. 235: 37 64 36 38 21 39 N SD: 0.8027 c. M: 1.4255 c. 270: 42 74 42 43 24 45 N SD: 0.8842 c. M: 1.3333 c. 277: 43 76 43 44 25 46 N SD: 0.8456 c. M: 1.7184 c. 282: 44 77 44 45 25 47 N SD: 0.7360 c. M:-1.1277 c. 289: 45 79 45 46 26 48 N SD: 0.5821 c. M: 1.1488 c. 294: 46 80 46 47 26 49 N SD: 0.7554 c. M:-1.0408 c. 300: 47 82 46 48 27 50 N SD: 0.8165 c. M:-1.0000 c. 301: 47 82 47 48 27 50 N SD: 0.4917 c. M: 0.7143 c. 344: 54 94 53 55 31 57 N SD: 0.5520 c. M:-1.2791 c. 356: 56 97 55 57 32 59 N SD: 0.4499 c. M:-0.7640 c. 363: 57 99 56 58 33 60 N SD: 0.4702 c. M:-0.7025 c. 375: 59 102 58 60 34 62 N SD: 0.4320 c. M:-0.8000 c. 433: 68 118 67 69 39 72 N SD: 0.4337 c. M: 0.6212 c. 445: 70 121 69 71 40 74 N SD: 0.4239 c. M:-0.7640 c. 505: 79 138 78 81 45 84 N SD: 0.4228 c. M:-0.6436 c. 512: 80 140 79 82 46 85 N SD: 0.3505 c. M:-0.6250 c. 517: 81 141 80 83 46 86 N SD: 0.3734 c. M:-0.6170 c. 524: 82 143 81 84 47 87 N SD: 0.2024 c. M:-0.2672 c. 536: 84 146 83 86 48 89 N SD: 0.1907 c. M:-0.2836 c. 543: 85 148 84 87 49 90 N SD: 0.2142 c. M: 0.4475 c. 657: 103 179 102 105 59 109 N SD: 0.1770 c. M:-0.3699 c. 664: 104 181 103 106 60 110 N SD: 0.1540 c. M: 0.2289 c. 676: 106 184 105 108 61 112 N SD: 0.1569 c. M: 0.2071 c. 1020: 160 278 158 163 92 169 N SD: 0.1860 c. M:-0.2941 c. 1032: 162 281 160 165 93 171 N SD: 0.1851 c. M:-0.3721 c. 1060: 166 289 164 170 95 176 N SD: 0.1722 c. M: 0.2453 c. 1067: 167 291 165 171 96 177 N SD: 0.1657 c. M: 0.3440 c. 1079: 169 294 167 173 97 179 N SD: 0.1526 c. M: 0.3513 c. 1181: 185 322 183 189 106 196 N SD: 0.1146 c. M:-0.1566 c. 1188: 186 324 184 190 107 197 N SD: 0.0845 c. M:-0.1515 c. 1200: 188 327 186 192 108 199 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x 3 x x 4 S SD: 0.4775 cents 3 x 4 x 5 x 6 S SD: 6.3434 cents 4 x 5:6 x 7:8 S SD: 33.1627 cents 5:6:7 x 8:9:10 S SD: 33.1157 cents 6:7:8:9:10:11:12 H SD: 15.7433 cents 7:8:9:11:12 x 14 SD: 25.6919 cents 8:9:11:12:13:14:16 SD: 12.2038 cents 9:10:12:14:15:16:18 S SD: 11.1838 cents 12:13:16:18:20:21:24 SD: 10.3297 cents 14:16:19:21:23:25:28 SD: 9.4072 cents 15:17:20:22:25:27:30 SD: 8.9765 cents 16:18:22:24:27:29:32 SD: 8.4248 cents 17:19:23:25:28:30:34 SD: 8.1002 cents 18:20:24:27:30:32:36 S SD: 3.4095 cents 28:31:38:42:47:50:56 SD: 3.1121 cents 34:38:46:51:57:61:68 SD: 2.4303 cents 44:49:59:66:74:78:88 SD: 2.3621 cents 46:51:62:69:77:82:92 SD: 1.6074 cents 52:58:70:78:87:93:104 SD: 0.9999 cents 78:87:105:117:131:139:156 SD: 0.8186 cents 96:107:129:144:161:171:192 SD: 0.7458 cents 124:138:167:186:208:221:248 SD: 0.6555 cents 130:145:175:195:218:232:260 SD: 0.5027 cents 138:154:186:207:231:246:276 SD: 0.5001 cents 148:165:199:222:248:264:296 SD: 0.4727 cents 156:174:210:234:261:278:312 SD: 0.4318 cents 176:196:237:264:295:314:352 SD: 0.4277 cents 184:205:248:276:308:328:368 SD: 0.4131 cents 216:241:291:324:362:385:432 SD: 0.3915 cents 225:251:303:337:377:401:450 SD: 0.3752 cents 234:261:315:351:392:417:468 SD: 0.2778 cents 262:292:353:393:439:467:524 SD: 0.2765 cents 271:302:365:406:454:483:542 SD: 0.2502 cents 280:312:377:420:469:499:560 SD: 0.2228 cents 323:360:435:484:541:576:646 SD: 0.1746 cents 401:447:540:601:672:715:802 SD: 0.1684 cents 419:467:564:628:702:747:838 SD: 0.1364 cents 479:534:645:718:802:854:958 SD: 0.1306 cents 505:563:680:757:846:900:1010 SD: 0.1240 cents 557:621:750:835:933:993:1114 SD: 0.0539 cents