Scala analysis: bluesrag
ragismic tempered bluesji in 8419et
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 133.413 cents 133.412520 2: 182.302 cents 182.301940 3: 386.269 cents 386.269150 4: 449.127 cents 449.126970 5: 498.016 cents 498.016390 6: 653.094 cents 653.094190 7: 680.318 cents 680.318330 8: 835.396 cents 835.396130 9: 884.286 cents 884.285540 10: 947.143 cents 947.143370 11: 1151.111 cents 1151.110580 12: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 48.8894 cents 48.8894 1: 133.4125 cents 133.4125 2: 48.8894 cents 48.8894 3: 203.9672 cents 203.9672 4: 62.8578 cents 62.8578 5: 48.8894 cents 48.8894 6: 155.0778 cents 155.0778 7: 27.2241 cents 27.2241 8: 155.0778 cents 155.0778 9: 48.8894 cents 48.8894 10: 62.8578 cents 62.8578 11: 203.9672 cents 203.9672 12: 48.8894 cents 48.8894
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 27.22414 cents 1: 4 48.88942 cents 1: 2 62.85782 cents 1: 1 133.41252 cents 1: 2 155.07780 cents 1: 2 203.96721 cents 2: 2 111.74724 cents 2: 4 182.30194 cents 2: 2 203.96722 cents 2: 2 252.85663 cents 2: 2 266.82503 cents 3: 3 231.19136 cents 3: 2 266.82504 cents 3: 4 315.71445 cents 3: 1 337.37974 cents 3: 2 386.26915 cents 4: 2 294.04918 cents 4: 2 364.60387 cents 4: 2 386.26916 cents 4: 2 435.15857 cents 4: 2 449.12697 cents 4: 2 470.79225 cents 5: 1 435.15857 cents 5: 2 449.12698 cents 5: 6 498.01639 cents 5: 2 519.68167 cents 5: 1 639.12578 cents 6: 2 498.01639 cents 6: 4 546.90581 cents 6: 4 653.09419 cents 6: 2 701.98361 cents 7: 1 560.87422 cents 7: 2 680.31833 cents 7: 6 701.98361 cents 7: 2 750.87302 cents 7: 1 764.84143 cents 8: 2 729.20775 cents 8: 2 750.87302 cents 8: 2 764.84143 cents 8: 2 813.73084 cents 8: 2 835.39613 cents 8: 2 905.95082 cents 9: 2 813.73085 cents 9: 1 862.62026 cents 9: 4 884.28554 cents 9: 2 933.17496 cents 9: 3 968.80864 cents 10: 2 933.17497 cents 10: 2 947.14337 cents 10: 2 996.03278 cents 10: 4 1017.69806 cents 10: 2 1088.25276 cents 11: 2 996.03279 cents 11: 2 1044.92220 cents 11: 1 1066.58748 cents 11: 2 1137.14218 cents 11: 4 1151.11058 cents 11: 1 1172.77586 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.27273 = 58/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 133.4 182.3 386.3 449.1 498.0 653.1 680.3 835.4 884.3 947.1 1151.1 1200.0 133.4 : 48.9 252.9 315.7 364.6 519.7 546.9 702.0 750.9 813.7 1017.7 1066.6 1200.0 182.3 : 204.0 266.8 315.7 470.8 498.0 653.1 702.0 764.8 968.8 1017.7 1151.1 1200.0 386.3 : 62.9 111.7 266.8 294.0 449.1 498.0 560.9 764.8 813.7 947.1 996.0 1200.0 449.1 : 48.9 204.0 231.2 386.3 435.2 498.0 702.0 750.9 884.3 933.2 1137.1 1200.0 498.0 : 155.1 182.3 337.4 386.3 449.1 653.1 702.0 835.4 884.3 1088.3 1151.1 1200.0 653.1 : 27.2 182.3 231.2 294.0 498.0 546.9 680.3 729.2 933.2 996.0 1044.9 1200.0 680.3 : 155.1 204.0 266.8 470.8 519.7 653.1 702.0 906.0 968.8 1017.7 1172.8 1200.0 835.4 : 48.9 111.7 315.7 364.6 498.0 546.9 750.9 813.7 862.6 1017.7 1044.9 1200.0 884.3 : 62.9 266.8 315.7 449.1 498.0 702.0 764.8 813.7 968.8 996.0 1151.1 1200.0 947.1 : 204.0 252.9 386.3 435.2 639.1 702.0 750.9 906.0 933.2 1088.3 1137.1 1200.0 1151.1: 48.9 182.3 231.2 435.2 498.0 546.9 702.0 729.2 884.3 933.2 996.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 27.2241 .. 203.9672 cents 176.74307 cents 27.22414 cents 2: 111.7472 .. 266.8250 cents 155.07779 cents -92.21997 cents 3: 231.1914 .. 386.2692 cents 155.07779 cents -35.63367 cents 4: 294.0492 .. 470.7923 cents 176.74307 cents -92.21997 cents 5: 435.1586 .. 639.1258 cents 203.96721 cents -35.63368 cents 6: 498.0164 .. 701.9836 cents 203.96722 cents -141.10939 cents 7: 560.8742 .. 764.8414 cents 203.96721 cents -141.10939 cents 8: 729.2077 .. 905.9508 cents 176.74307 cents -35.63368 cents 9: 813.7308 .. 968.8086 cents 155.07779 cents -92.21997 cents 10: 933.1750 .. 1088.2528 cents 155.07779 cents -35.63367 cents 11: 996.0328 .. 1172.7759 cents 176.74307 cents -92.21997 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 27.22414 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 203.96721 cents Average / Smallest step : 3.673211 Largest / Average step : 2.039672 Largest / Smallest step : 7.492145 Median interval of one step : 62.85782 cents, amount: 2 Most common interval of one step : 48.88942 cents, amount: 4 Least squares average step : 101.23015 cents, oct.: 1214.76177 cents Scale is not proper Step pattern alph. order: ABCDBEFEBDCB Step pattern size order : DBFCBEAEBCFB Scale is not a Constant Structure Scale diversity : 1.473393 Lumma stability : 0.045374 Lumma impropriety factor : 0.596152 Rothenberg efficiency : 0.341077 redundancy: 0.658923 Efficiency x scale size : 4.092929 Number of different interval sizes : 46 = 4.18182 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 5.27273 = 58/11 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 13.96840 cents Most common intervals : 498.01639 cents & inv., amount: 8 Most common triad is 0.0 498.016 701.984 cents, amount: 4 Number of recognisable fifths : 8, average 701.9836 cents Formal octave complements present : 1 = 8.3333% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 6-7 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
12: 1 1 2 0 1 1 1 1 1 0 2 1 N T3 SD: 33.6360 c. M: 53.0942 c. 13: 1 1 2 1 0 2 0 2 0 1 2 1 N SD: 28.9181 c. M: 53.5163 c. 16: 2 0 3 1 1 2 0 2 1 1 2 1 N SD: 19.3549 c. M: 32.3019 c. 18: 2 1 3 1 0 3 0 3 0 1 3 1 N SD: 18.1609 c. M: 31.3497 c. 19: 2 1 3 1 1 2 1 2 1 1 3 1 N SD: 10.5570 c. M: 21.5152 c. 24: 3 1 4 1 1 3 1 3 1 1 4 1 N SD: 11.7195 c. M:-19.6817 c. 26: 3 1 4 2 1 3 1 3 1 2 4 1 N SD: 10.5344 c. M:-22.0874 c. 27: 3 1 5 1 1 4 0 4 1 1 5 1 N SD: 9.1212 c. M: 13.8100 c. 33: 4 1 6 1 2 4 1 4 1 2 6 1 N SD: 9.2551 c. M:-13.7308 c. 34: 4 1 6 2 1 5 0 5 1 2 6 1 N SD: 8.9735 c. M:-17.4940 c. 37: 4 2 6 2 1 5 1 5 1 2 6 2 N SD: 8.0895 c. M: 15.9754 c. 39: 4 2 7 2 1 5 1 5 2 2 6 2 N SD: 8.3553 c. M:-13.7308 c. 41: 4 2 7 2 2 5 1 5 2 2 7 2 N SD: 9.4814 c. M: 16.3393 c. 42: 5 1 8 2 1 6 1 5 2 2 7 2 N SD: 8.1250 c. M:-13.7308 c. 43: 5 2 7 2 2 5 1 6 2 2 7 2 N SD: 7.1920 c. M:-13.0469 c. 44: 5 2 7 2 2 6 1 6 1 3 7 2 N SD: 7.3139 c. M: 12.7633 c. 46: 5 2 8 2 2 6 1 6 2 2 8 2 N SD: 3.6446 c. M: 8.0129 c. 53: 6 2 9 3 2 7 1 7 2 3 9 2 N SD: 2.4304 c. M:-3.8000 c. 72: 8 3 12 4 3 9 2 9 3 4 12 3 N SD: 1.9918 c. M: 3.0942 c. 99: 11 4 17 5 4 13 2 13 4 5 17 4 N SD: 1.0431 c. M: 1.6888 c. 152: 17 6 26 8 6 20 3 20 6 8 26 6 N SD: 1.0690 c. M:-2.1690 c. 171: 19 7 29 9 7 22 4 22 7 9 29 7 N SD: 0.2487 c. M: 0.4626 c. 270: 30 11 46 14 11 35 6 35 11 14 46 11 N SD: 0.2451 c. M: 0.4767 c. 441: 49 18 75 23 18 57 10 57 18 23 75 18 N SD: 0.0937 c. M: 0.2046 c. 612: 68 25 104 32 25 79 14 79 25 32 104 25 N SD: 0.0842 c. M: 0.1530 c. 935: 104 38 159 49 38 121 21 121 38 49 159 38 N SD: 0.0830 c. M:-0.1678 c. 1053: 117 43 179 55 43 136 24 136 43 55 179 43 N SD: 0.0790 c. M: 0.1348 c. 1106: 123 45 188 58 45 143 25 143 45 58 188 45 N SD: 0.0422 c. M:-0.0704 c. 1277: 142 52 217 67 52 165 29 165 52 67 217 52 N SD: 0.0346 c. M:-0.0767 c. 1547: 172 63 263 81 63 200 35 200 63 81 263 63 N SD: 0.0220 c. M:-0.0409 c. 1718: 191 70 292 90 70 222 39 222 70 90 292 70 N SD: 0.0049 c. M: 0.0092 c.
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x 3 x x x x 4 S SD: 10.8183 cents 3 x x x x 4 x x x 5 x x 6 S SD: 0.0262 cents 4 x x 5 x x x 6 x x 7 x 8 S SD: 7.6578 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 24.8234 cents 6 x 7 x x 8 x 9 x 10 x x 12 S SD: 17.4586 cents 7 x 8 x 9 x 10 x 11 x 12 x 14 S SD: 13.7929 cents 8 x 9:10 x 11 x 12:13 x 14 x 16 S SD: 9.3378 cents 9 x 10:11 x 12:13 x x 15:16 x 18 SD: 9.2333 cents 10 x 11 x 13 x x 15:16 x 17:19:20 SD: 8.6541 cents 11:12 x 14 x 15:16 x 18 x 19:21:22 SD: 8.0098 cents 12:13 x 15 x 16 x 18:19:20:21:23:24 SD: 6.2525 cents 13:14 x 16:17 x 19 x 21:22 x 25:26 SD: 5.7061 cents 14:15:16 x 18:19:20:21:23 x 24:27:28 SD: 8.0190 cents 15:16:17:19 x 20:22 x 24:25:26:29:30 SD: 5.3600 cents 16:17:18:20:21 x 23:24:26:27:28:31:32 SD: 5.6252 cents 17:18:19:21:22:23 x 25 x 28:29:33:34 SD: 5.8737 cents 18:19:20 x 23:24:26:27:29:30:31:35:36 SD: 5.0358 cents 19 x 21:24 x 25 x 28:31:32:33:37:38 SD: 4.4130 cents 20 x 22:25:26:27:29:30:32:33:35:39:40 SD: 4.6540 cents 21:23 x 26:27:28 x 31:34:35:36:41:42 SD: 3.6554 cents 22:24 x 28 x 29:32:33:36:37:38:43:44 SD: 5.2702 cents 23:25:26:29:30:31 x 34:37:38:40:45:46 SD: 4.3976 cents 24:26:27:30:31:32:35:36:39:40:41:47:48 SD: 3.3133 cents 27:29:30:34:35:36:39:40:44:45:47:52:54 SD: 2.7104 cents 28:30:31:35:36:37:41 x 45:47:48:54:56 SD: 3.4792 cents 29:31:32:36:38:39:42:43:47:48:50:56:58 SD: 3.3592 cents 30:32:33:38:39:40:44 x 49:50:52:58:60 SD: 3.7921 cents 31:33:34:39:40:41:45:46:50:52:54:60:62 SD: 3.7490 cents 32:35:36:40:41:43:47 x 52:53:55:62:64 SD: 4.0122 cents 33:36:37:41:43:44:48:49:53:55:57:64:66 SD: 2.6671 cents 34:37:38:43:44:45 x 50:55:57:59:66:68 SD: 3.1298 cents 35:38:39:44:45:47:51:52:57:58:60:68:70 SD: 2.5765 cents 36:39:40:45:47:48:52:53:58:60:62:70:72 SD: 2.2040 cents 37:40:41:46:48:49:54:55:60:62:64:72:74 SD: 1.6305 cents 48:52:53:60:62:64:70:71:78:80:83:93:96 SD: 1.3165 cents 63:68:70:79:82:84:92:93:102:105:109:122:126 SD: 1.1191 cents 72:78:80:90:93:96:105:107:117:120:124:140:144 SD: 1.0421 cents 81:87:90:101:105:108:118:120:131:135:140:157:162 SD: 1.0336 cents 87:94:97:109:113:116:127:129:141:145:150:169:174 SD: 0.7961 cents 100:108:111:125:130:133:146:148:162:167:173:194:200 SD: 0.7656 cents 108:117:120:135:140:144:157:160:175:180:187:210:216 SD: 0.6806 cents 111:120:123:139:144:148:162:164:180:185:192:216:222 SD: 0.6727 cents 124:134:138:155:161:165:181:184:201:207:214:241:248 SD: 0.6253 cents 125:135:139:156:162:167:182:185:203:208:216:243:250 SD: 0.6214 cents 129:139:143:161:167:172:188:191:209:215:223:251:258 SD: 0.5777 cents 135:146:150:169:175:180:197:200:219:225:233:262:270 SD: 0.4803 cents 162:175:180:202:210:216:236:240:262:270:280:315:324 SD: 0.4624 cents 172:186:191:215:223:229:251:255:279:287:297:334:344 SD: 0.4591 cents 179:193:199:224:232:239:261:265:290:298:309:348:358 SD: 0.4478 cents 189:204:210:236:245:252:276:280:306:315:327:367:378 SD: 0.3812 cents 199:215:221:249:258:265:290:295:322:332:344:387:398 SD: 0.3747 cents 216:233:240:270:280:288:315:320:350:360:373:420:432 SD: 0.2217 cents 297:321:330:371:385:396:433:440:481:495:513:577:594 SD: 0.2048 cents 324:350:360:405:420:432:472:480:525:540:560:630:648 SD: 0.1496 cents 432:467:480:540:560:576:630:640:700:720:747:840:864 SD: 0.1477 cents 513:554:570:641:665:684:748:760:831:855:887:997:1026 SD: 0.1159 cents 540:583:600:675:700:720:787:800:875:900:933:1050:1080 SD: 0.1153 cents