Scala analysis: dwarf15marv
Marvelous dwarf: 1/4 kleismic dwarf(<15 24 35|) subset rosatimarv
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 115.587 cents 115.587047 2: 184.332 cents 184.331593 3: 200.054 cents 200.054240 4: 315.641 cents 315.641287 5: 384.386 cents 384.385833 6: 499.973 cents 499.972880 7: 584.440 cents 584.440073 8: 615.560 cents 615.559927 9: 700.027 cents 700.027120 10: 815.614 cents 815.614167 11: 884.359 cents 884.358713 12: 999.946 cents 999.945760 13: 1015.668 cents 1015.668407 14: 1084.413 cents 1084.412953 15: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 115.5870 cents 115.5870 1: 115.5870 cents 115.5870 2: 68.7445 cents 68.7445 3: 15.7226 cents 15.7226 4: 115.5870 cents 115.5870 5: 68.7445 cents 68.7445 6: 115.5870 cents 115.5870 7: 84.4672 cents 84.4672 8: 31.1199 cents 31.1199 9: 84.4672 cents 84.4672 10: 115.5870 cents 115.5870 11: 68.7445 cents 68.7445 12: 115.5870 cents 115.5870 13: 15.7226 cents 15.7226 14: 68.7445 cents 68.7445 15: 115.5870 cents 115.5870
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 15.72265 cents 1: 1 31.11985 cents 1: 4 68.74455 cents 1: 2 84.46719 cents 1: 6 115.58705 cents 2: 2 84.46719 cents 2: 2 115.58705 cents 2: 2 131.30969 cents 2: 6 184.33159 cents 2: 2 200.05424 cents 2: 1 231.17409 cents 3: 7 200.05424 cents 3: 2 231.17409 cents 3: 2 268.79879 cents 3: 4 299.91864 cents 4: 2 268.79879 cents 4: 2 299.91864 cents 4: 8 315.64129 cents 4: 1 368.66319 cents 4: 2 384.38583 cents 5: 8 384.38583 cents 5: 2 400.10848 cents 5: 2 415.50569 cents 5: 3 431.22833 cents 6: 1 400.10848 cents 6: 2 431.22833 cents 6: 2 468.85303 cents 6: 10 499.97288 cents 7: 2 499.97288 cents 7: 4 515.69553 cents 7: 3 568.71743 cents 7: 2 584.44007 cents 7: 4 615.55993 cents 8: 4 584.44007 cents 8: 2 615.55993 cents 8: 3 631.28257 cents 8: 4 684.30447 cents 8: 2 700.02712 cents 9: 10 700.02712 cents 9: 2 731.14697 cents 9: 2 768.77167 cents 9: 1 799.89152 cents 10: 3 768.77167 cents 10: 2 784.49431 cents 10: 2 799.89152 cents 10: 8 815.61417 cents 11: 2 815.61417 cents 11: 1 831.33681 cents 11: 8 884.35871 cents 11: 2 900.08136 cents 11: 2 931.20121 cents 12: 4 900.08136 cents 12: 2 931.20121 cents 12: 2 968.82591 cents 12: 7 999.94576 cents 13: 1 968.82591 cents 13: 2 999.94576 cents 13: 6 1015.66841 cents 13: 2 1068.69031 cents 13: 2 1084.41295 cents 13: 2 1115.53281 cents 14: 6 1084.41295 cents 14: 2 1115.53281 cents 14: 4 1131.25545 cents 14: 1 1168.88015 cents 14: 2 1184.27735 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 4.71429 = 33/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0.0 : 115.6 184.3 200.1 315.6 384.4 500.0 584.4 615.6 700.0 815.6 884.4 999.9 1015.7 1084.4 1200.0 115.6 : 68.7 84.5 200.1 268.8 384.4 468.9 500.0 584.4 700.0 768.8 884.4 900.1 968.8 1084.4 1200.0 184.3 : 15.7 131.3 200.1 315.6 400.1 431.2 515.7 631.3 700.0 815.6 831.3 900.1 1015.7 1131.3 1200.0 200.1 : 115.6 184.3 299.9 384.4 415.5 500.0 615.6 684.3 799.9 815.6 884.4 999.9 1115.5 1184.3 1200.0 315.6 : 68.7 184.3 268.8 299.9 384.4 500.0 568.7 684.3 700.0 768.8 884.4 999.9 1068.7 1084.4 1200.0 384.4 : 115.6 200.1 231.2 315.6 431.2 500.0 615.6 631.3 700.0 815.6 931.2 999.9 1015.7 1131.3 1200.0 500.0 : 84.5 115.6 200.1 315.6 384.4 500.0 515.7 584.4 700.0 815.6 884.4 900.1 1015.7 1084.4 1200.0 584.4 : 31.1 115.6 231.2 299.9 415.5 431.2 500.0 615.6 731.1 799.9 815.6 931.2 999.9 1115.5 1200.0 615.6 : 84.5 200.1 268.8 384.4 400.1 468.9 584.4 700.0 768.8 784.5 900.1 968.8 1084.4 1168.9 1200.0 700.0 : 115.6 184.3 299.9 315.6 384.4 500.0 615.6 684.3 700.0 815.6 884.4 999.9 1084.4 1115.5 1200.0 815.6 : 68.7 184.3 200.1 268.8 384.4 500.0 568.7 584.4 700.0 768.8 884.4 968.8 999.9 1084.4 1200.0 884.4 : 115.6 131.3 200.1 315.6 431.2 500.0 515.7 631.3 700.0 815.6 900.1 931.2 1015.7 1131.3 1200.0 999.9 : 15.7 84.5 200.1 315.6 384.4 400.1 515.7 584.4 700.0 784.5 815.6 900.1 1015.7 1084.4 1200.0 1015.7: 68.7 184.3 299.9 368.7 384.4 500.0 568.7 684.3 768.8 799.9 884.4 999.9 1068.7 1184.3 1200.0 1084.4: 115.6 231.2 299.9 315.6 431.2 500.0 615.6 700.0 731.1 815.6 931.2 999.9 1115.5 1131.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 15.7226 .. 115.5870 cents 99.86440 cents 15.72265 cents 2: 84.4672 .. 231.1741 cents 146.70690 cents -31.11985 cents 3: 200.0542 .. 299.9186 cents 99.86440 cents -31.11985 cents 4: 268.7988 .. 384.3858 cents 115.58705 cents -31.11985 cents 5: 384.3858 .. 431.2283 cents 46.84250 cents 1/1, 0.0000 cents 6: 400.1085 .. 499.9729 cents 99.86440 cents -31.11985 cents 7: 499.9729 .. 615.5599 cents 115.58705 cents 1/1, 0.0000 cents 8: 584.4401 .. 700.0271 cents 115.58705 cents -31.11985 cents 9: 700.0271 .. 799.8915 cents 99.86440 cents 1/1, 0.0000 cents 10: 768.7717 .. 815.6142 cents 46.84250 cents -31.11985 cents 11: 815.6142 .. 931.2012 cents 115.58705 cents 1/1, 0.0000 cents 12: 900.0814 .. 999.9458 cents 99.86440 cents -31.11985 cents 13: 968.8259 .. 1115.5328 cents 146.70690 cents -31.11985 cents 14: 1084.4130 .. 1184.2774 cents 99.86440 cents -31.11985 cents
SHOW DATA
Number of notes : 15 -- Interval properties -- Smallest interval : 15.72265 cents, class 1 Average step (divided formal octave): 80.0000 cents Largest one step interval : 115.58705 cents Average / Smallest step : 5.088202 Largest / Average step : 1.444838 Largest / Smallest step : 7.351628 Median interval of one step : 84.46719 cents, amount: 2 Most common interval of one step : 115.58705 cents, amount: 6 Least squares average step : 79.72053 cents, oct.: 1195.80793 cents Scale is not proper Step pattern alph. order: ABCABADEDABACBA Step pattern size order : ECAECEDBDECEACE Scale is not a Constant Structure Scale diversity : 1.323561 Lumma stability : 0.026204 Lumma impropriety factor : 0.233399 Number of different interval sizes : 44 = 3.14286 / class Number of one step interval sizes : 5 Highest interval variety : 6 Mean interval variety : 4.71429 = 33/7 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 15.39721 cents Most common intervals : 499.97288 cents & inv., amount: 12 Most common triad is 0.0 499.973 700.027 cents, amount: 9 Number of recognisable fifths : 12, average 700.0271 cents Formal octave complements present : 15 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 7-8 -- Rational properties --
FIT/MODE
15: 1 1 0 1 1 2 1 0 1 2 1 1 0 1 2 N T3 SD: 43.1635 c. M: 75.6413 c. 16: 1 1 0 2 1 1 1 1 1 1 1 2 0 1 2 N D3 SD: 39.8766 c. M: 65.6142 c. 17: 1 1 0 2 1 2 1 0 1 2 1 2 0 1 2 N SD: 37.5224 c. M: 64.7330 c. 18: 2 1 0 2 1 1 2 0 2 1 1 2 0 1 2 N I SD: 18.1426 c. M: 33.3062 c. 19: 2 1 0 2 1 2 1 1 1 2 1 2 0 1 2 N I SD: 8.7001 c. M: 16.0190 c. 24: 2 2 0 2 2 2 2 0 2 2 2 2 0 2 2 P B DE I SD: 12.7490 c. M:-15.6684 c. 29: 3 1 1 3 1 3 2 1 2 3 1 3 1 1 3 N I SD: 10.9070 c. M:-18.8144 c. 31: 3 2 0 3 2 3 2 1 2 3 2 3 0 2 3 N I SD: 5.1051 c. M:-9.2168 c. 41: 4 2 1 4 2 4 3 1 3 4 2 4 1 2 4 N I SD: 4.6652 c. M:-8.7218 c. 50: 5 3 0 5 3 5 3 2 3 5 3 5 0 3 5 N I SD: 5.7039 c. M:-8.4401 c. 52: 5 3 1 5 3 5 3 2 3 5 3 5 1 3 5 N I SD: 6.2461 c. M:-7.9219 c. 53: 5 3 1 5 3 5 4 1 4 5 3 5 1 3 5 N I SD: 2.6640 c. M:-4.2392 c. 72: 7 4 1 7 4 7 5 2 5 7 4 7 1 4 7 N I SD: 0.8602 c. M: 1.1067 c. 156: 15 9 2 15 9 15 11 4 11 15 9 15 2 9 15 N I SD: 0.1913 c. M:-0.2838 c. 228: 22 13 3 22 13 22 16 6 16 22 13 22 3 13 22 N I SD: 0.1482 c. M: 0.2295 c. 384: 37 22 5 37 22 37 27 10 27 37 22 37 5 22 37 N I SD: 0.0394 c. M: 0.0651 c. 1973: 190 113 26 190 113 190 139 51 139 190 113 190 26 113 190 N I SD: 0.0334 c. M:-0.0506 c. 2129: 205 122 28 205 122 205 150 55 150 205 122 205 28 122 205 N I SD: 0.0325 c. M:-0.0597 c. 2201: 212 126 29 212 126 212 155 57 155 212 126 212 29 126 212 N I SD: 0.0287 c. M:-0.0517 c. 2357: 227 135 31 227 135 227 166 61 166 227 135 227 31 135 227 N I SD: 0.0217 c. M:-0.0317 c.
FIT/HARMONIC
1 x x x x x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x x x 3 x x x x x 4 S SD: 0.9639 cents 3 x x x x x 4 x x x x 5 x x x 6 S SD: 0.6426 cents 4 x x x x 5 x x x 6 x x 7 x x 8 S SD: 7.8098 cents 5 x x x 6 x x 7 x x 8 x x 9 x 10 S SD: 0.6678 cents 6 x x x 7 x 8 x x 9 x 10 x 11 x 12 S SD: 9.8901 cents 7 x x 8 x 9 x x 10 x 11:12 x x 13:14 S SD: 12.1047 cents 8 x x 9 x 10 x 11 x 12:13 x 14 x 15:16 S SD: 6.5232 cents 9 x 10 x 11 x 12 x 13 x 14:15:16 x 17:18 S SD: 7.3045 cents 10 x 11 x 12 x 13:14 x 15:16:17 x 18:19:20 S SD: 6.6145 cents 11 x 12 x 13:14:15 x 16 x x 18 x 20:21:22 S SD: 9.9422 cents 12:13 x x 14:15:16 x 17:18:19:20:21:22 x 24 S SD: 6.7919 cents 13:14 x 15 x 16:17:18:19 x 21:22:23 x 24:26 SD: 8.1663 cents 14:15 x 16:17 x 19 x 20:21:22:23:25 x 26:28 SD: 5.8416 cents 15:16 x 17:18:19:20:21 x 22:24:25 x 27:28:30 SD: 4.0022 cents 16:17 x 18:19:20:21:22:23:24:26:27 x 29:30:32 SD: 4.7831 cents 17:18 x 19:20:21:23:24 x 25:27:28:30:31:32:34 SD: 5.5597 cents 18:19:20 x 22 x 24:25:26:27:29:30:32 x 34:36 SD: 4.2384 cents 19:20:21 x 23:24:25 x 27:28:30:32:34 x 36:38 SD: 5.5598 cents 20:21:22 x 24:25:27:28:29:30:32:33 x 36:37:40 SD: 4.3445 cents 22 x 24:25:26:27:29:31 x 33:35:37:39:40:41:44 SD: 5.2268 cents 23:25 x 26:28:29:31:32:33:34:37:38:41 x 43:46 SD: 4.3832 cents 24:26 x 27:29:30:32 x 34:36:38:40 x 43:45:48 SD: 3.0162 cents 25:27 x 28:30:31:33:35:36:37:40:42 x 45:47:50 SD: 3.2797 cents 26:28:29 x 31:32:35:36:37:39:42:43:46:47:49:52 SD: 3.5011 cents 27:29:30 x 32:34:36:38:39:40:43:45:48:49:51:54 SD: 3.4117 cents 28:30:31 x 34:35:37:39:40:42:45:47:50 x 52:56 SD: 2.7675 cents 29:31:32:33:35:36:39:41 x 43:46:48 x 52:54:58 SD: 3.6003 cents 30:32:33:34:36:37:40:42:43:45:48:50:53:54:56:60 SD: 2.5194 cents 32:34 x 36:38:40:43:45:46:48:51:53:57:58:60:64 SD: 2.4687 cents 33:35 x 37:40:41:44:46:47:49:53:55:59 x 62:66 SD: 2.4667 cents 34:36 x 38:41:42:45:48:49:51:54:57 x 61:64:68 SD: 3.3235 cents 35:37:39 x 42:44:47:49:50:52:56:58:62:63:65:70 SD: 2.4970 cents 36:38:40 x 43:45:48:50:51:54:58:60:64:65:67:72 SD: 2.4925 cents 38:41:42:43:46:47:51:53:54:57:61:63:68 x 71:76 SD: 2.7141 cents 39:42:43:44:47:49:52:55:56:58:62:65:69:70:73:78 SD: 2.4718 cents 40:43:44:45:48:50:53:56:57:60:64:67:71:72:75:80 SD: 1.8870 cents 41:44 x 46:49:51:55:57:59:61:66:68:73:74:77:82 SD: 2.2637 cents 42:45 x 47:50:52:56:59:60:63:67:70:75:76:79:84 SD: 1.9554 cents 43:46:48 x 52:54:57:60:61:64:69:72 x 77:80:86 SD: 2.4003 cents 44:47:49 x 53:55:59:62:63:66:70:73:78:79:82:88 SD: 1.7017 cents 45:48:50:51:54:56:60:63:64:67:72:75:80:81:84:90 SD: 1.5297 cents 48:51:53:54:58:60:64:67:68:72:77:80 x 86:90:96 SD: 1.9069 cents 49:52 x 55:59:61:65:69:70:73:78:82:87:88:92:98 SD: 1.9589 cents 50:53 x 56:60:62:67:70:71:75:80:83:89:90:94:100 SD: 1.7919 cents 51:55 x 57:61:64:68:71:73:76:82:85:91:92:95:102 SD: 2.0043 cents 52:56:58 x 62:65:69:73:74:78:83:87:93 x 97:104 SD: 1.8849 cents 53:57:59 x 64:66:71:74:76:79:85:88:94:95:99:106 SD: 1.7921 cents 54:58:60:61:65:67:72:76:77:81:86:90:96:97:101:108 SD: 1.5147 cents 56:60:62:63:67:70:75:78:80:84:90:93:100:101:105:112 SD: 1.3556 cents 57:61:63:64:68:71:76:80:81:85:91:95:102 x 107:114 SD: 1.5957 cents 58:62 x 65:70:72:77:81:83:87:93:97:103:104:109:116 SD: 1.6243 cents 59:63 x 66:71:74:79:83:84:88:95:98:105:106:110:118 SD: 1.4809 cents 60:64:67 x 72:75:80:84:86:90:96:100:107:108:112:120 SD: 0.8993 cents 61:65:68 x 73:76:81:85:87:91:98:102:109:110:114:122 SD: 1.4910 cents 63:67:70:71:76:79:84:88:90:94:101:105:112:113:118:126 SD: 1.3405 cents 65:69:72:73:78:81:87:91:93:97:104:108:116:117:122:130 SD: 1.3081 cents 67:72 x 75:80:84:89:94:96:100:107:112:119:120:125:134 SD: 1.6733 cents 68:73 x 76:82:85:91:95:97:102:109:113:121:122:127:136 SD: 1.2251 cents 69:74:77 x 83:86:92:97:98:103:111:115:123:124:129:138 SD: 1.2082 cents 70:75:78:79:84:87:93:98:100:105:112:117:125:126:131:140 SD: 1.1532 cents 72:77:80:81:86:90:96:101:103:108:115:120:128:129:135:144 SD: 0.9594 cents 76:81 x 85:91:95:101:107:108:114:122:127:135:137:142:152 SD: 1.3327 cents 77:82:86 x 92:96:103:108:110:115:123:128:137:138:144:154 SD: 1.2112 cents 80:86:89:90:96:100:107:112:114:120:128:133:143:144:150:160 SD: 0.9631 cents 84:90:93:94:101:105:112:118:120:126:135:140:150:151:157:168 SD: 0.9490 cents 85:91 x 95:102:106:113:119:121:127:136:142:151:153:159:170 SD: 1.0396 cents 87:93:97:98:104:109:116:122:124:130:139:145:155:156:163:174 SD: 0.9691 cents 89:95:99:100:107:111:119:125:127:133:143:148:159:160:167:178 SD: 0.8397 cents 90:96:100:101:108:112:120:126:128:135:144:150:160:162:168:180 SD: 0.7717 cents 99:106:110:111:119:124:132:139:141:148:159:165:176:178:185:198 SD: 0.7669 cents 100:107:111:112:120:125:133:140:143:150:160:167:178:180:187:200 SD: 0.7219 cents 105:112:117:118:126:131:140:147:150:157:168:175:187:189:196:210 SD: 0.5840 cents 132:141:147:148:158:165:176:185:188:198:211:220:235:237:247:264 SD: 0.5660 cents 140:150:156:157:168:175:187:196:200:210:224:233:249:252:262:280 SD: 0.5426 cents 141:151:157:158:169:176:188:198:201:211:226:235:251:254:264:282 SD: 0.5364 cents 145:155:161:163:174:181:194:203:207:217:232:242:258:261:271:290 SD: 0.5283 cents 160:171:178:180:192:200:214:224:228:240:256:267:285:288:299:320 SD: 0.5172 cents 161:172:179:181:193:201:215:226:230:241:258:268:287:289:301:322 SD: 0.4325 cents 185:198:206:208:222:231:247:259:264:277:296:308:330:333:346:370 SD: 0.3978 cents 189:202:210:212:227:236:252:265:270:283:303:315:337:340:354:378 SD: 0.3386 cents 204:218:227:229:245:255:272:286:291:306:327:340:363:367:382:408 SD: 0.3321 cents 221:236:246:248:265:276:295:310:315:331:354:368:394:397:413:442 SD: 0.3209 cents 229:245:255:257:275:286:306:321:327:343:367:382:408:412:428:458 SD: 0.2940 cents 261:279:290:293:313:326:348:366:372:391:418:435:465:469:488:522 SD: 0.2697 cents 269:288:299:302:323:336:359:377:384:403:431:448:479:484:503:538 SD: 0.2638 cents 286:306:318:321:343:357:382:401:408:429:458:477:510:514:535:572 SD: 0.2475 cents 293:313:326:329:352:366:391:411:418:439:469:488:522:527:548:586 SD: 0.2357 cents 301:322:335:338:361:376:402:422:430:451:482:502:536:541:563:602 SD: 0.2326 cents 302:323:336:339:362:377:403:423:431:452:484:503:538:543:565:604 SD: 0.2304 cents 319:341:355:358:383:398:426:447:455:478:511:532:568:574:597:638 SD: 0.2039 cents 349:373:388:392:419:436:466:489:498:523:559:582:622:628:653:698 SD: 0.1843 cents 391:418:435:439:469:488:522:548:558:586:626:652:697:703:731:782 SD: 0.1516 cents 435:465:484:488:522:543:581:610:621:652:697:725:775:782:814:870 SD: 0.1474 cents 480:513:534:539:576:599:641:673:685:719:769:800:855:863:898:960 SD: 0.1197 cents 490:524:545:550:588:612:654:687:699:734:785:817:873:881:917:980 SD: 0.1025 cents 580:620:645:651:696:724:774:813:828:869:929:967:1033:1043:1085:1160 SD: 0.0973 cents 595:636:662:668:714:743:794:834:849:892:953:992:1060:1070:1113:1190 SD: 0.0955 cents