Scala analysis: Turkey_NU
NU (Ney), Turkey
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 226.000 cents 226.000000 2: 391.000 cents 391.000000 3: 526.000 cents 526.000000 4: 716.000 cents 716.000000 5: 919.000 cents 919.000000 6: 1077.000 cents 1077.000000 7: 1197.000 cents 1197.000000
SHOW/INTERVAL
0: 120.0000 cents 120.0000 1: 226.0000 cents 226.0000 2: 165.0000 cents 165.0000 3: 135.0000 cents 135.0000 4: 190.0000 cents 190.0000 5: 203.0000 cents 203.0000 6: 158.0000 cents 158.0000 7: 120.0000 cents 120.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 120.00000 cents 1: 1 135.00000 cents 1: 1 158.00000 cents 1: 1 165.00000 cents 1: 1 190.00000 cents 1: 1 203.00000 cents 1: 1 226.00000 cents 2: 1 278.00000 cents 2: 1 300.00000 cents 2: 1 325.00000 cents 2: 1 346.00000 cents 2: 1 361.00000 cents 2: 1 391.00000 cents 2: 1 393.00000 cents 3: 1 481.00000 cents 3: 1 490.00000 cents 3: 1 504.00000 cents 3: 1 511.00000 cents 3: 1 526.00000 cents 3: 1 528.00000 cents 3: 1 551.00000 cents 4: 1 646.00000 cents 4: 1 669.00000 cents 4: 1 671.00000 cents 4: 1 686.00000 cents 4: 1 693.00000 cents 4: 1 707.00000 cents 4: 1 716.00000 cents 5: 1 804.00000 cents 5: 1 806.00000 cents 5: 1 836.00000 cents 5: 1 851.00000 cents 5: 1 872.00000 cents 5: 1 897.00000 cents 5: 1 919.00000 cents 6: 1 971.00000 cents 6: 1 994.00000 cents 6: 1 1007.00000 cents 6: 1 1032.00000 cents 6: 1 1039.00000 cents 6: 1 1062.00000 cents 6: 1 1077.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 226.0 391.0 526.0 716.0 919.0 1077.0 1197.0 226.0 : 165.0 300.0 490.0 693.0 851.0 971.0 1197.0 391.0 : 135.0 325.0 528.0 686.0 806.0 1032.0 1197.0 526.0 : 190.0 393.0 551.0 671.0 897.0 1062.0 1197.0 716.0 : 203.0 361.0 481.0 707.0 872.0 1007.0 1197.0 919.0 : 158.0 278.0 504.0 669.0 804.0 994.0 1197.0 1077.0: 120.0 346.0 511.0 646.0 836.0 1039.0 1197.0 1197.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 120.0000 .. 226.0000 cents 106.00000 cents 120.00000 cents 2: 278.0000 .. 393.0000 cents 115.00000 cents 52.00000 cents 3: 481.0000 .. 551.0000 cents 70.00000 cents 88.00000 cents 4: 646.0000 .. 716.0000 cents 70.00000 cents 95.00000 cents 5: 804.0000 .. 919.0000 cents 115.00000 cents 88.00000 cents 6: 971.0000 .. 1077.0000 cents 106.00000 cents 52.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 120.00000 cents, class 1 Average step (divided formal octave): 171.0000 cents Largest one step interval : 226.00000 cents Average / Smallest step : 1.425000 Largest / Average step : 1.321637 Largest / Smallest step : 1.883333 Median interval of one step : 165.00000 cents, amount: 1 Least squares average step : 177.75714 cents, oct.: 1244.30000 cents Scale is strictly proper Scale is a mode of a 1197-tone equal temperament with octave 1197.000 cents degrees: 226 391 526 716 919 1077 1197 Least number of segments generator : 599 of 599.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 865 of 865.000 cents and inv. generated superset size: 309 = 302 more = 4414.286% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : GDBEFCA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 52.00000 cents Scale diversity : 1.552952 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.513784 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 2.00000 cents Number of recognisable fifths : 4, average 700.5000 cents Number of appreciable fifths : 2, average 700.0000 cents Number of recognisable fourths : 4, average 496.5000 cents Number of appreciable fourths : 3, average 501.6667 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 43.6152 c. M: 64.0000 c. Lebeng 9: 2 1 1 1 2 1 1 P M ME S SD: 25.6738 c. M: 51.0000 c. 10: 2 1 1 2 2 1 1 P D3 S SD: 26.5112 c. M: 47.2000 c. Pseudo Rast 12: 2 2 1 2 2 2 1 P M ME S SD: 19.5868 c. M: 27.2500 c. G.Lydian, M.Ionian, M.Hypolydian, Major, Bilaval That, Mela Shankarabharanam, Raga Atana, Ghana Heptatonic, Peruvian Major, Matzore, Rast ascending: Greece, 4th plagal Byzantine, Ararai: Ethiopia, Makam Cargah, Ajam Ashiran, Dastgah-e Mahur, Dastgah-e Rast Panjgah, Xin: China, DS2, Heptatonia prima 16: 3 2 2 2 3 2 2 SP M ME S SD: 22.1878 c. M: 42.6875 c. Antiphrygian 17: 3 2 2 3 3 2 2 SP D3 S SD: 22.1014 c. M: 38.9412 c. Pseudo Rast 18: 3 3 2 3 3 2 2 SP D3 S SD: 13.9156 c. M: 26.5000 c. 21: 4 3 2 4 3 3 2 SP T3 SD: 11.6312 c. M:-25.0000 c. 22: 4 3 3 3 4 3 2 SP D3 SD: 10.2528 c. M:-18.0909 c. Chameleon Porcupine 27: 5 4 3 4 5 3 3 SP S SD: 8.2481 c. M: 13.0000 c. 30: 6 4 3 5 5 4 3 SP SD: 6.5843 c. M:-13.4000 c. 37: 7 5 4 6 6 5 4 SP SD: 7.1524 c. M: 13.1622 c. 39: 7 6 4 6 7 5 4 SP SD: 6.7470 c. M: 11.1538 c. 43: 8 6 5 7 7 6 4 SP SD: 4.7254 c. M:-8.6512 c. 48: 9 7 5 8 8 6 5 SP SD: 4.7662 c. M:-8.0000 c. 52: 10 7 6 8 9 7 5 SP SD: 2.9878 c. M:-4.9038 c. 70: 13 10 8 11 12 9 7 SP SD: 2.9297 c. M:-4.4000 c. 80: 15 11 9 13 13 11 8 SP SD: 2.8323 c. M: 6.2875 c. 89: 17 12 10 14 15 12 9 SP SD: 2.4193 c. M: 4.4382 c. 100: 19 14 11 16 17 13 10 SP SD: 2.0960 c. M:-4.0100 c. 102: 19 14 12 16 17 14 10 SP SD: 2.6137 c. M: 3.7353 c. 107: 20 15 12 17 18 14 11 SP SD: 1.5854 c. M: 3.0561 c. 132: 25 18 15 21 22 18 13 SP SD: 1.5095 c. M: 3.1136 c. 137: 26 19 15 22 23 18 14 SP SD: 1.5739 c. M: 2.3212 c. 150: 28 21 17 24 25 20 15 SP SD: 1.3957 c. M: 2.5600 c. 159: 30 22 18 25 27 21 16 SP SD: 0.5819 c. M:-0.9811 c. 319: 60 44 36 51 54 42 32 SP SD: 0.5805 c. M: 0.8589 c. 328: 62 45 37 52 56 43 33 SP SD: 0.4917 c. M: 0.7195 c. 371: 70 51 42 59 63 49 37 SP SD: 0.4023 c. M:-0.6226 c. 478: 90 66 54 76 81 63 48 SP SD: 0.2938 c. M: 0.6234 c. 508: 96 70 57 81 86 67 51 SP SD: 0.2648 c. M: 0.5453 c. 530: 100 73 60 84 90 70 53 SP SD: 0.2034 c. M:-0.3000 c. 667: 126 92 75 106 113 88 67 SP SD: 0.1616 c. M: 0.2384 c. 1038: 196 143 117 165 176 137 104 SP SD: 0.0891 c. M: 0.1503 c. 1197: 226 165 135 190 203 158 120 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 3.0000 cents 2 x x x 3 x x 4 S SD: 7.1809 cents 3 x x 4 x 5 x 6 S SD: 14.8717 cents 4 x 5 x 6:7 x 8 S SD: 13.0164 cents 5 x 6:7:8 x 9:10 S SD: 29.6331 cents 6:7 x 8:9:10:11:12 S SD: 11.3309 cents 7:8:9 x 11:12:13:14 SD: 13.5688 cents 8:9:10:11:12:14:15:16 S SD: 8.9975 cents 14:16:18:19:21:24:26:28 SD: 7.0151 cents 16:18:20:22:24:27:30:32 S SD: 5.8147 cents 20:23:25:27:30:34:37:40 SD: 3.6921 cents 23:26:29:31:35:39:43:46 SD: 3.4091 cents 28:32:35:38:42:48:52:56 SD: 3.1620 cents 31:35:39:42:47:53:58:62 SD: 3.0965 cents 36:41:45:49:54:61:67:72 SD: 2.5863 cents 37:42:46:50:56:63:69:74 SD: 2.4064 cents 43:49:54:58:65:73:80:86 SD: 1.3999 cents 51:58:64:69:77:87:95:102 SD: 1.2031 cents 87:99:109:118:132:148:162:174 SD: 1.0264 cents 107:122:134:145:162:182:199:214 SD: 0.7127 cents 150:171:188:203:227:255:279:299 SD: 0.6686 cents 158:180:198:214:239:269:294:315 SD: 0.5693 cents 166:189:208:225:251:282:309:331 SD: 0.4847 cents 209:238:262:283:316:355:389:417 SD: 0.4432 cents 217:247:272:294:328:369:404:433 SD: 0.3512 cents 256:292:321:347:387:435:477:511 SD: 0.3498 cents 264:301:331:358:399:449:492:527 SD: 0.3169 cents 273:311:342:370:413:464:509:545 SD: 0.2995 cents 287:327:360:389:434:488:535:573 SD: 0.2641 cents 293:334:367:397:443:498:546:585 SD: 0.2401 cents 307:350:385:416:464:522:572:613 SD: 0.2388 cents 324:369:406:439:490:551:604:647 SD: 0.2352 cents 344:392:431:466:520:585:641:687 SD: 0.1861 cents 394:449:494:534:596:670:734:787 SD: 0.1746 cents 474:540:594:642:717:806:883:946 SD: 0.1742 cents 510:581:639:691:771:867:950:1018 SD: 0.1497 cents 560:638:702:759:847:952:1043:1118 SD: 0.1132 cents