Scala analysis: nptmarv
John's NPT/Marvelous Dwarf/Duodene in 240-equal (marvel) tempering
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 115.000 cents 115.000000 2: 200.000 cents 200.000000 3: 315.000 cents 315.000000 4: 385.000 cents 385.000000 5: 500.000 cents 500.000000 6: 585.000 cents 585.000000 7: 700.000 cents 700.000000 8: 815.000 cents 815.000000 9: 885.000 cents 885.000000 10: 1015.000 cents 1015.000000 11: 1085.000 cents 1085.000000 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 115.0000 cents 115.0000 1: 115.0000 cents 115.0000 2: 85.0000 cents 85.0000 3: 115.0000 cents 115.0000 4: 70.0000 cents 70.0000 5: 115.0000 cents 115.0000 6: 85.0000 cents 85.0000 7: 115.0000 cents 115.0000 8: 115.0000 cents 115.0000 9: 70.0000 cents 70.0000 10: 130.0000 cents 130.0000 11: 70.0000 cents 70.0000 12: 115.0000 cents 115.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 70.00000 cents 1: 2 85.00000 cents 1: 6 115.00000 cents 1: 1 130.00000 cents 2: 4 185.00000 cents 2: 6 200.00000 cents 2: 2 230.00000 cents 3: 3 270.00000 cents 3: 3 300.00000 cents 3: 6 315.00000 cents 4: 8 385.00000 cents 4: 4 430.00000 cents 5: 1 470.00000 cents 5: 9 500.00000 cents 5: 2 515.00000 cents 6: 2 570.00000 cents 6: 4 585.00000 cents 6: 4 615.00000 cents 6: 2 630.00000 cents 7: 2 685.00000 cents 7: 9 700.00000 cents 7: 1 730.00000 cents 8: 4 770.00000 cents 8: 8 815.00000 cents 9: 6 885.00000 cents 9: 3 900.00000 cents 9: 3 930.00000 cents 10: 2 970.00000 cents 10: 6 1000.00000 cents 10: 4 1015.00000 cents 11: 1 1070.00000 cents 11: 6 1085.00000 cents 11: 2 1115.00000 cents 11: 3 1130.00000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.09091 = 34/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 115.0 200.0 315.0 385.0 500.0 585.0 700.0 815.0 885.0 1015.0 1085.0 1200.0 115.0 : 85.0 200.0 270.0 385.0 470.0 585.0 700.0 770.0 900.0 970.0 1085.0 1200.0 200.0 : 115.0 185.0 300.0 385.0 500.0 615.0 685.0 815.0 885.0 1000.0 1115.0 1200.0 315.0 : 70.0 185.0 270.0 385.0 500.0 570.0 700.0 770.0 885.0 1000.0 1085.0 1200.0 385.0 : 115.0 200.0 315.0 430.0 500.0 630.0 700.0 815.0 930.0 1015.0 1130.0 1200.0 500.0 : 85.0 200.0 315.0 385.0 515.0 585.0 700.0 815.0 900.0 1015.0 1085.0 1200.0 585.0 : 115.0 230.0 300.0 430.0 500.0 615.0 730.0 815.0 930.0 1000.0 1115.0 1200.0 700.0 : 115.0 185.0 315.0 385.0 500.0 615.0 700.0 815.0 885.0 1000.0 1085.0 1200.0 815.0 : 70.0 200.0 270.0 385.0 500.0 585.0 700.0 770.0 885.0 970.0 1085.0 1200.0 885.0 : 130.0 200.0 315.0 430.0 515.0 630.0 700.0 815.0 900.0 1015.0 1130.0 1200.0 1015.0: 70.0 185.0 300.0 385.0 500.0 570.0 685.0 770.0 885.0 1000.0 1070.0 1200.0 1085.0: 115.0 230.0 315.0 430.0 500.0 615.0 700.0 815.0 930.0 1000.0 1130.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 70.0000 .. 130.0000 cents 60.00000 cents 70.00000 cents 2: 185.0000 .. 230.0000 cents 45.00000 cents 55.00000 cents 3: 270.0000 .. 315.0000 cents 45.00000 cents 40.00000 cents 4: 385.0000 .. 430.0000 cents 45.00000 cents 70.00000 cents 5: 470.0000 .. 515.0000 cents 45.00000 cents 40.00000 cents 6: 570.0000 .. 630.0000 cents 60.00000 cents 55.00000 cents 7: 685.0000 .. 730.0000 cents 45.00000 cents 55.00000 cents 8: 770.0000 .. 815.0000 cents 45.00000 cents 40.00000 cents 9: 885.0000 .. 930.0000 cents 45.00000 cents 70.00000 cents 10: 970.0000 .. 1015.0000 cents 45.00000 cents 40.00000 cents 11: 1070.0000 .. 1130.0000 cents 60.00000 cents 55.00000 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 70.00000 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 130.00000 cents Average / Smallest step : 1.428571 Largest / Average step : 1.300000 Largest / Smallest step : 1.857143 Median interval of one step : 115.00000 cents, amount: 6 Most common interval of one step : 115.00000 cents, amount: 6 Least squares average step : 99.81538 cents, oct.: 1197.78462 cents Scale is strictly proper Scale is a mode of a 240-tone equal temperament with octave 1200.000 cents degrees: 23 40 63 77 100 117 140 163 177 203 217 240 Least number of segments generator : 121 of 605.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 163 of 815.000 cents and inv. generated superset size: 63 = 51 more = 525.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABACABAACDCA Step pattern size order : CBCACBCCADAC Scale is a Constant Structure, by a margin of 40.00000 cents Scale diversity : 1.329245 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.550000 Rothenberg efficiency : 0.439743 redundancy: 0.560257 Efficiency x scale size : 5.276912 Number of different interval sizes : 34 = 3.09091 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 3.09091 = 34/11 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 15.00000 cents Most common intervals : 500.00000 cents & inv., amount: 9 Most common triad is 0.0 500.000 700.000 cents, amount: 6 Number of recognisable fifths : 9, average 700.0000 cents Best fifths form a closed circle Formal octave complements present : 9 = 75.0000% Limited inverse transpositions : 7 Inversional symmetry on intervals : 3-4 9-10 -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 12.2474 c. M: 15.0000 c. Twelve-tone Chromatic (1/11-comma) 19: 2 1 2 1 2 1 2 2 1 2 1 2 P M ME SD: 8.1224 c. M: 16.5789 c. Genus diatonico-chromaticum, Yasser's Supradiatonic inverse 31: 3 2 3 2 3 2 3 3 2 3 2 3 SP M ME SD: 4.3058 c. M: 8.5484 c. Genus diatonico-chromaticum 52: 5 4 5 3 5 3 5 5 3 6 3 5 SP SD: 6.3277 c. M: 8.0769 c. 53: 5 4 5 3 5 4 5 5 3 6 3 5 SP SD: 2.3121 c. M:-3.8679 c. Genus diatonico-chromaticum 72: 7 5 7 4 7 5 7 7 4 8 4 7 SP SD: 1.3608 c. M: 1.6667 c. Genus diatonico-chromaticum 84: 8 6 8 5 8 6 8 8 5 9 5 8 SP SD: 0.5832 c. M: 0.7143 c. 156: 15 11 15 9 15 11 15 15 9 17 9 15 SP SD: 0.3140 c. M: 0.3846 c. 240: 23 17 23 14 23 17 23 23 14 26 14 23 SP SD: 0.0000 c. M: 0.0000 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: 0.9775 cents 3 x x x x 4 x x x 5 x x 6 S SD: 0.6858 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 11.5585 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 0.7763 cents 6 x x 7 x 8 x 9 x 10:11 x 12 S SD: 9.8676 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 12.8458 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 7.8558 cents 9 x 10:11 x 12:13 x 14:15:16:17:18 S SD: 9.3966 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 7.1820 cents 11:12 x 13:14:15 x 16 x 18:20:21:22 S SD: 10.9028 cents 12:13 x 14:15:16:17:18:19:20:22 x 24 S SD: 6.9027 cents 13:14:15 x 16:17:18:19:21:22:23:24:26 SD: 8.5700 cents 14:15:16:17 x 19:20:21:22:23:25:26:28 SD: 6.6383 cents 15:16:17:18:19:20:21:22:24:25:27:28:30 SD: 3.9803 cents 18:19:20:22 x 24:25:27:29:30:32:34:36 SD: 4.8274 cents 20:21:22:24:25:27:28:30:32:33:36:37:40 SD: 4.7756 cents 24:26:27:29:30:32:34:36:38:40:43:45:48 SD: 3.2084 cents 30:32:34:36:37:40:42:45:48:50:54:56:60 SD: 2.3756 cents 40:43:45:48:50:53:56:60:64:67:72:75:80 SD: 1.6216 cents 55:59:62:66:69:73:77:82:88:92:99:103:110 SD: 1.6114 cents 56:60:63:67:70:75:79:84:90:93:101:105:112 SD: 1.5445 cents 57:61:64:68:71:76:80:85:91:95:102:107:114 SD: 1.4566 cents 60:64:67:72:75:80:84:90:96:100:108:112:120 SD: 0.9703 cents 75:80:84:90:94:100:105:112:120:125:135:140:150 SD: 0.9589 cents 84:90:94:101:105:112:118:126:135:140:151:157:168 SD: 0.9554 cents 90:96:101:108:112:120:126:135:144:150:162:168:180 SD: 0.8106 cents 100:107:112:120:125:133:140:150:160:167:180:187:200 SD: 0.7859 cents 105:112:118:126:131:140:147:157:168:175:189:197:210 SD: 0.6968 cents 117:125:131:140:146:156:164:175:187:195:210:219:234 SD: 0.6925 cents 120:128:135:144:150:160:168:180:192:200:216:225:240 SD: 0.6535 cents 129:138:145:155:161:172:181:193:207:215:232:241:258 SD: 0.6210 cents 132:141:148:158:165:176:185:198:211:220:237:247:264 SD: 0.5300 cents 156:167:175:187:195:208:219:234:250:260:280:292:312 SD: 0.4852 cents 171:183:192:205:214:228:240:256:274:285:307:320:342 SD: 0.4799 cents 177:189:199:212:221:236:248:265:283:295:318:331:354 SD: 0.4789 cents 186:199:209:223:232:248:261:279:298:310:334:348:372 SD: 0.4393 cents 189:202:212:227:236:252:265:283:303:315:340:354:378 SD: 0.3810 cents 221:236:248:265:276:295:310:331:354:368:397:414:442 SD: 0.2957 cents 261:279:293:313:326:348:366:391:418:435:469:488:522 SD: 0.2314 cents 301:322:338:361:376:402:422:451:482:502:541:563:602 SD: 0.1998 cents 361:386:405:433:451:482:506:541:578:602:649:676:722 SD: 0.1602 cents 406:434:456:487:507:542:569:608:650:677:730:760:812 SD: 0.1568 cents 466:498:523:559:582:622:653:698:746:777:838:872:932 SD: 0.1253 cents 522:558:586:626:652:697:732:782:836:870:938:977:1044 SD: 0.1064 cents 582:622:653:698:727:777:816:872:932:970:1046:1089:1164 SD: 0.0944 cents