Scala analysis: Colombia_Marimba_02
Marimba 2 (Marimba), Colombia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 210.000 cents 210.000000 2: 420.000 cents 420.000000 3: 550.000 cents 550.000000 4: 720.000 cents 720.000000 5: 890.000 cents 890.000000 6: 1080.000 cents 1080.000000 7: 1200.000 cents 1200.000000 8: 1390.000 cents 1390.000000 9: 1540.000 cents 1540.000000 10: 1790.000 cents 1790.000000 11: 1900.000 cents 1900.000000 12: 2100.000 cents 2100.000000 13: 2200.000 cents 2200.000000
SHOW/INTERVAL
0: 100.0000 cents 100.0000 1: 210.0000 cents 210.0000 2: 210.0000 cents 210.0000 3: 130.0000 cents 130.0000 4: 170.0000 cents 170.0000 5: 170.0000 cents 170.0000 6: 190.0000 cents 190.0000 7: 120.0000 cents 120.0000 8: 190.0000 cents 190.0000 9: 150.0000 cents 150.0000 10: 250.0000 cents 250.0000 11: 110.0000 cents 110.0000 12: 200.0000 cents 200.0000 13: 100.0000 cents 100.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 100.00000 cents 1: 1 110.00000 cents 1: 1 120.00000 cents 1: 1 130.00000 cents 1: 1 150.00000 cents 1: 2 170.00000 cents 1: 2 190.00000 cents 1: 1 200.00000 cents 1: 2 210.00000 cents 1: 1 250.00000 cents 2: 2 300.00000 cents 2: 4 310.00000 cents 2: 3 340.00000 cents 2: 2 360.00000 cents 2: 1 400.00000 cents 2: 1 420.00000 cents 3: 1 410.00000 cents 3: 1 460.00000 cents 3: 1 470.00000 cents 3: 1 480.00000 cents 3: 1 500.00000 cents 3: 3 510.00000 cents 3: 1 520.00000 cents 3: 1 530.00000 cents 3: 1 550.00000 cents 3: 1 560.00000 cents 3: 1 590.00000 cents 4: 1 620.00000 cents 4: 3 650.00000 cents 4: 2 660.00000 cents 4: 1 670.00000 cents 4: 1 680.00000 cents 4: 1 700.00000 cents 4: 2 710.00000 cents 4: 2 720.00000 cents 5: 1 780.00000 cents 5: 1 810.00000 cents 5: 3 820.00000 cents 5: 1 830.00000 cents 5: 1 840.00000 cents 5: 1 850.00000 cents 5: 2 870.00000 cents 5: 1 890.00000 cents 5: 2 900.00000 cents 6: 1 960.00000 cents 6: 1 970.00000 cents 6: 3 990.00000 cents 6: 1 1000.00000 cents 6: 1 1010.00000 cents 6: 3 1020.00000 cents 6: 1 1070.00000 cents 6: 2 1080.00000 cents 7: 2 1120.00000 cents 7: 1 1130.00000 cents 7: 3 1180.00000 cents 7: 1 1190.00000 cents 7: 1 1200.00000 cents 7: 3 1210.00000 cents 7: 1 1230.00000 cents 7: 1 1240.00000 cents 8: 2 1300.00000 cents 8: 1 1310.00000 cents 8: 2 1330.00000 cents 8: 1 1350.00000 cents 8: 1 1360.00000 cents 8: 1 1370.00000 cents 8: 3 1380.00000 cents 8: 1 1390.00000 cents 8: 1 1420.00000 cents 9: 2 1480.00000 cents 9: 2 1490.00000 cents 9: 1 1500.00000 cents 9: 1 1520.00000 cents 9: 1 1530.00000 cents 9: 2 1540.00000 cents 9: 3 1550.00000 cents 9: 1 1580.00000 cents 10: 1 1610.00000 cents 10: 1 1640.00000 cents 10: 1 1650.00000 cents 10: 1 1670.00000 cents 10: 1 1680.00000 cents 10: 3 1690.00000 cents 10: 1 1700.00000 cents 10: 1 1720.00000 cents 10: 1 1730.00000 cents 10: 1 1740.00000 cents 10: 1 1790.00000 cents 11: 1 1780.00000 cents 11: 1 1800.00000 cents 11: 2 1840.00000 cents 11: 3 1860.00000 cents 11: 4 1890.00000 cents 11: 2 1900.00000 cents 12: 1 1950.00000 cents 12: 2 1990.00000 cents 12: 1 2000.00000 cents 12: 2 2010.00000 cents 12: 2 2030.00000 cents 12: 1 2050.00000 cents 12: 1 2070.00000 cents 12: 1 2080.00000 cents 12: 1 2090.00000 cents 12: 1 2100.00000 cents Highest number of different intervals for one interval class: 11 Average number of different intervals per interval class: 8.66667 = 26/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 0.0 : 210.0 420.0 550.0 720.0 890.0 1080.0 1200.0 1390.0 1540.0 1790.0 1900.0 2100.0 2200.0 210.0 : 210.0 340.0 510.0 680.0 870.0 990.0 1180.0 1330.0 1580.0 1690.0 1890.0 1990.0 2200.0 420.0 : 130.0 300.0 470.0 660.0 780.0 970.0 1120.0 1370.0 1480.0 1680.0 1780.0 1990.0 2200.0 550.0 : 170.0 340.0 530.0 650.0 840.0 990.0 1240.0 1350.0 1550.0 1650.0 1860.0 2070.0 2200.0 720.0 : 170.0 360.0 480.0 670.0 820.0 1070.0 1180.0 1380.0 1480.0 1690.0 1900.0 2030.0 2200.0 890.0 : 190.0 310.0 500.0 650.0 900.0 1010.0 1210.0 1310.0 1520.0 1730.0 1860.0 2030.0 2200.0 1080.0: 120.0 310.0 460.0 710.0 820.0 1020.0 1120.0 1330.0 1540.0 1670.0 1840.0 2010.0 2200.0 1200.0: 190.0 340.0 590.0 700.0 900.0 1000.0 1210.0 1420.0 1550.0 1720.0 1890.0 2080.0 2200.0 1390.0: 150.0 400.0 510.0 710.0 810.0 1020.0 1230.0 1360.0 1530.0 1700.0 1890.0 2010.0 2200.0 1540.0: 250.0 360.0 560.0 660.0 870.0 1080.0 1210.0 1380.0 1550.0 1740.0 1860.0 2050.0 2200.0 1790.0: 110.0 310.0 410.0 620.0 830.0 960.0 1130.0 1300.0 1490.0 1610.0 1800.0 1950.0 2200.0 1900.0: 200.0 300.0 510.0 720.0 850.0 1020.0 1190.0 1380.0 1500.0 1690.0 1840.0 2090.0 2200.0 2100.0: 100.0 310.0 520.0 650.0 820.0 990.0 1180.0 1300.0 1490.0 1640.0 1890.0 2000.0 2200.0 2200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 100.0000 .. 250.0000 cents 150.00000 cents 100.00000 cents 2: 300.0000 .. 420.0000 cents 120.00000 cents 50.00000 cents 3: 410.0000 .. 590.0000 cents 180.00000 cents -10.00000 cents 4: 620.0000 .. 720.0000 cents 100.00000 cents 30.00000 cents 5: 780.0000 .. 900.0000 cents 120.00000 cents 60.00000 cents 6: 960.0000 .. 1080.0000 cents 120.00000 cents 60.00000 cents 7: 1120.0000 .. 1240.0000 cents 120.00000 cents 40.00000 cents 8: 1300.0000 .. 1420.0000 cents 120.00000 cents 60.00000 cents 9: 1480.0000 .. 1580.0000 cents 100.00000 cents 60.00000 cents 10: 1610.0000 .. 1790.0000 cents 180.00000 cents 30.00000 cents 11: 1780.0000 .. 1900.0000 cents 120.00000 cents -10.00000 cents 12: 1950.0000 .. 2100.0000 cents 150.00000 cents 50.00000 cents
SHOW DATA
Number of notes : 13 -- Interval properties -- Smallest interval : 100.00000 cents, class 1 Average step (divided formal octave): 169.2308 cents Largest one step interval : 250.00000 cents Average / Smallest step : 1.692308 Largest / Average step : 1.477273 Largest / Smallest step : 2.500000 Median interval of one step : 170.00000 cents, amount: 2 Least squares average step : 173.98046 cents, oct.: 2261.74603 cents Scale is not proper Scale is a mode of a 220-tone equal temperament with octave 2200.000 cents degrees: 21 42 55 72 89 108 120 139 154 179 190 210 220 Least number of segments generator : 111 of 1110.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 203 of 2030.000 cents and inv. generated superset size: 128 = 115 more = 984.615% Number of contiguous 1-step segments: 0 Step pattern alph. order: AABCCDEDFGHIJ Step pattern size order : IIDFFGCGEJBHA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 10.00000 cents Scale diversity : 0.093682 Lumma stability : 0.290909 Lumma impropriety factor : 0.009091 Number of different interval sizes : 104 = 8.66667 / class Number of one step interval sizes : 10 Highest interval variety : 11 Mean interval variety : 8.66667 = 26/3 Median interval variety : 7 Lowest interval variety : 6 Smallest interval difference : 10.00000 cents Most common intervals : 310.00000 cents & inv., amount: 4 Number of recognisable fifths : 5, average 712.0000 cents Number of appreciable fifths : 3, average 706.6667 cents Number of recognisable fourths : 5, average 502.0000 cents Number of appreciable fourths : 4, average 507.5000 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 7.6923% 2/1 octave complements present : 1 = 7.6923% -- Rational properties --
FIT/MODE
13: 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 52.4038 c. M: 97.6923 c. 15: 1 2 1 1 1 1 1 1 1 2 1 1 1 N D3 S SD: 42.0521 c. M: 73.3333 c. 16: 1 2 1 1 1 2 1 1 1 2 1 1 1 P M ME S SD: 34.4392 c. M: 72.5000 c. 17: 2 1 1 2 1 1 1 2 1 2 1 1 1 P D3 S SD: 34.4750 c. M:-56.4706 c. 20: 2 2 1 2 1 2 1 2 1 2 1 2 1 P M ME S SD: 23.3699 c. M:-50.0000 c. 22: 2 2 2 1 2 2 1 2 1 3 1 2 1 P D3 SD: 20.9395 c. M:-50.0000 c. 24: 2 3 1 2 2 2 1 2 2 3 1 2 1 N SD: 22.6550 c. M:-43.3333 c. 27: 3 2 2 2 2 2 2 2 2 3 1 3 1 P D3 S SD: 17.5691 c. M:-34.4444 c. 28: 3 2 2 2 2 3 1 3 2 3 1 3 1 P SD: 20.7890 c. M:-31.4286 c. 30: 3 3 2 2 2 3 1 3 2 3 2 3 1 P SD: 19.4145 c. M:-36.6667 c. 31: 3 3 2 2 3 2 2 3 2 3 2 3 1 P D3 SD: 18.5518 c. M:-32.5806 c. 33: 3 3 2 3 2 3 2 3 2 4 2 3 1 P SD: 17.8551 c. M:-33.3333 c. 36: 3 4 2 3 3 3 2 3 2 4 2 3 2 P T3 SD: 17.0664 c. M: 26.6667 c. 37: 3 4 2 3 3 3 2 3 3 4 2 3 2 P SD: 13.6856 c. M: 31.6216 c. 40: 4 4 2 3 3 4 2 3 3 5 2 3 2 N SD: 14.4115 c. M:-25.0000 c. 42: 4 4 3 3 3 4 2 4 2 5 2 4 2 P SD: 14.2104 c. M:-26.1905 c. 43: 4 4 3 3 3 4 2 4 3 5 2 4 2 P SD: 10.5853 c. M: 23.2558 c. 44: 4 4 3 3 4 4 2 4 3 5 2 4 2 P SD: 11.4354 c. M: 20.0000 c. 49: 5 4 3 4 4 4 3 4 3 6 2 5 2 P SD: 10.1501 c. M: 15.9184 c. 51: 5 5 3 4 4 4 3 4 4 6 2 5 2 N SD: 11.4277 c. M:-21.7647 c. 52: 5 5 3 4 4 5 2 5 3 6 3 5 2 P SD: 10.3709 c. M:-20.0000 c. 57: 5 6 3 5 4 5 3 5 4 6 3 5 3 P SD: 9.4167 c. M: 17.0175 c. 59: 6 5 4 4 5 5 3 5 4 7 3 5 3 P SD: 8.5598 c. M:-13.7288 c. 64: 6 6 4 5 5 5 4 5 5 7 3 6 3 P SD: 7.2349 c. M: 15.0000 c. 69: 7 6 4 6 5 6 4 6 4 8 4 6 3 P SD: 9.0772 c. M:-13.3333 c. 71: 7 7 4 5 6 6 4 6 5 8 3 7 3 N SD: 7.9479 c. M:-13.8028 c. 73: 7 7 4 6 6 6 4 6 5 8 4 7 3 P SD: 6.7037 c. M:-14.1096 c. 83: 8 8 5 6 7 7 4 7 6 10 4 7 4 N SD: 7.4009 c. M:-12.4096 c. 84: 8 8 5 6 7 7 5 7 6 9 4 8 4 P SD: 6.6062 c. M: 14.2857 c. 86: 8 8 5 7 7 7 5 7 6 10 4 8 4 P SD: 6.4477 c. M: 12.7907 c. 87: 8 9 5 6 7 8 4 8 6 10 4 8 4 N SD: 6.7936 c. M: 11.9540 c. 92: 9 8 6 7 7 8 5 8 6 11 4 9 4 P SD: 6.3672 c. M: 13.4783 c. 94: 9 9 5 8 7 8 5 8 7 10 5 9 4 P SD: 6.2876 c. M: 11.7021 c. 95: 9 9 6 7 7 9 5 8 7 10 5 9 4 P SD: 6.0487 c. M:-11.5789 c. 96: 9 9 6 7 8 8 5 9 6 11 5 9 4 P SD: 5.6696 c. M: 9.5833 c. 101: 10 9 6 8 8 9 5 9 7 11 5 9 5 P SD: 5.5764 c. M:-9.1089 c. 103: 10 10 6 8 8 9 5 9 7 12 5 9 5 N SD: 5.2306 c. M:-9.3204 c. 104: 10 10 6 8 8 9 6 9 7 12 5 9 5 N SD: 4.0996 c. M:-8.0769 c. 112: 11 10 7 9 8 10 6 10 7 13 6 10 5 P SD: 4.8100 c. M: 7.8571 c. 114: 11 11 7 8 9 10 6 10 8 13 5 11 5 N SD: 4.8004 c. M:-9.6491 c. 116: 11 11 7 9 9 10 6 10 8 13 6 11 5 P SD: 3.6755 c. M: 7.2414 c. 140: 13 14 8 11 11 12 7 12 10 16 7 13 6 N SD: 4.2118 c. M: 7.1429 c. 141: 13 14 8 11 11 12 8 12 10 16 7 13 6 N SD: 3.7527 c. M: 7.1631 c. 147: 14 14 9 11 11 13 8 13 10 17 7 13 7 N SD: 3.3291 c. M: 7.0068 c. 155: 15 15 9 12 12 13 9 13 11 17 8 14 7 N SD: 3.8095 c. M:-7.0968 c. 156: 15 15 9 12 12 14 8 14 10 18 8 14 7 N SD: 2.9682 c. M:-6.1538 c. 161: 15 16 9 13 12 14 9 14 11 18 8 15 7 N SD: 3.1368 c. M: 5.0311 c. 169: 16 16 10 13 13 15 9 15 11 19 9 15 8 P SD: 3.4486 c. M: 6.5680 c. 171: 16 17 10 13 13 15 9 15 12 19 9 15 8 N SD: 2.9085 c. M:-4.5614 c. 176: 17 17 10 14 13 15 10 15 12 20 9 16 8 N SD: 2.8589 c. M: 5.0000 c. 177: 17 17 10 14 14 15 10 15 12 20 9 16 8 N SD: 2.5716 c. M:-5.6497 c. 193: 18 19 11 15 15 17 10 17 13 22 10 17 9 N SD: 2.4579 c. M: 4.8187 c. 198: 19 19 12 15 15 17 11 17 14 22 10 18 9 N SD: 2.3266 c. M:-5.5556 c. 213: 20 21 12 17 16 19 11 19 14 24 11 19 10 N SD: 2.8745 c. M:-4.5070 c. 214: 20 21 13 16 17 18 12 18 15 24 11 19 10 N SD: 2.7350 c. M:-5.1402 c. 220: 21 21 13 17 17 19 12 19 15 25 11 20 10 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 x x x 3 x 4 S SD: 66.6699 cents 2 x x x 3 x x 4 x 5 x 6 x 7 S SD: 11.7409 cents 3 x x 4 x 5 x 6 x 7:8:9:10:11 S SD: 17.3295 cents 4 x 5 x 6:7 x 8:9:10:11:12:13:14 S SD: 12.6575 cents 5 x 6:7 x 8:9:10:11:12:14:15:17:18 SD: 13.9660 cents 6:7 x 8:9:10:11:12:13:15:17:18:20:21 SD: 9.6497 cents 7:8:9:10:11:12:13:14:16:17:20:21:24:25 SD: 9.3094 cents 8:9:10:11:12:13:15:16:18:19:23:24:27:29 SD: 7.0466 cents 10:11:13:14:15:17:19:20:22:24:28:30:34:36 SD: 7.0109 cents 13:15:17:18:20:22:24:26:29:32:37:39:44:46 SD: 6.0095 cents 14:16:18:19:21:23:26:28:31:34:39:42:47:50 SD: 4.1847 cents 16:18:20:22:24:27:30:32:36:39:45:48:54:57 SD: 3.4892 cents 21:24:27:29:32:35:39:42:47:51:59:63:71:75 SD: 2.5240 cents 22:25:28:30:33:37:41:44:49:54:62:66:74:78 SD: 2.5002 cents 25:28:32:34:38:42:47:50:56:61:70:75:84:89 SD: 2.3537 cents 29:33:37:40:44:48:54:58:65:71:82:87:98:103 SD: 2.3217 cents 30:34:38:41:45:50:56:60:67:73:84:90:101:107 SD: 1.9894 cents 33:37:42:45:50:55:62:66:74:80:93:99:111:118 SD: 1.9693 cents 37:42:47:51:56:62:69:74:83:90:104:111:124:132 SD: 1.3331 cents 46:52:59:63:70:77:86:92:103:112:129:138:155:164 SD: 1.2951 cents 48:54:61:66:73:80:90:96:107:117:135:144:161:171 SD: 1.1854 cents 54:61:69:74:82:90:101:108:121:131:152:162:182:192 SD: 1.1186 cents 61:69:78:84:92:102:114:122:136:148:172:183:205:217 SD: 1.1138 cents 62:70:79:85:94:104:116:124:138:151:174:186:209:221 SD: 0.8439 cents 69:78:88:95:105:115:129:138:154:168:194:207:232:246 SD: 0.8212 cents 70:79:89:96:106:117:131:140:156:170:197:210:235:249 SD: 0.7881 cents 77:87:98:106:117:129:144:154:172:187:217:231:259:274 SD: 0.7842 cents 80:90:102:110:121:134:149:160:179:195:225:240:269:285 SD: 0.7748 cents 83:94:106:114:126:139:155:166:185:202:233:249:279:296 SD: 0.6872 cents 85:96:108:117:129:142:159:170:190:207:239:255:286:303 SD: 0.6727 cents 91:103:116:125:138:152:170:182:203:221:256:273:306:324 SD: 0.5468 cents 110:124:140:151:167:184:205:220:246:268:309:330:370:392 SD: 0.5459 cents 116:131:148:159:176:194:216:232:259:282:326:348:390:413 SD: 0.5452 cents 117:132:149:161:177:196:218:234:261:285:329:351:394:417 SD: 0.5404 cents 124:140:158:170:188:207:231:248:277:302:349:372:417:442 SD: 0.4921 cents 134:151:171:184:203:224:250:268:299:326:377:402:451:478 SD: 0.3972 cents 149:168:190:205:226:249:278:298:333:363:419:446:501:531 SD: 0.3881 cents 163:184:208:224:247:273:304:326:364:397:458:488:548:581 SD: 0.3524 cents 171:193:218:235:259:286:319:342:382:416:481:512:575:609 SD: 0.2337 cents 225:254:287:309:341:376:420:450:502:548:633:674:757:802 SD: 0.2009 cents 233:263:297:320:353:390:435:466:520:567:655:698:784:830 SD: 0.1995 cents 262:296:334:360:397:438:489:524:585:638:737:785:881:934 SD: 0.1571 cents 302:341:385:415:458:505:564:604:674:735:849:905:1016:1076 SD: 0.1475 cents 372:420:474:511:564:622:694:744:830:905:1046:1115:1251:1326 SD: 0.1212 cents 396:447:505:544:600:662:739:792:884:964:1114:1187:1332:1411 SD: 0.1195 cents 473:534:603:650:717:791:883:946:1056:1151:1330:1417:1591:1686 SD: 0.0979 cents 543:613:692:746:823:908:1013:1086:1212:1322:1527:1627:1826:1935 SD: 0.0639 cents