Scala analysis: Greece_First
First (Voice), Greece
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 150.000 cents 150.000000 2: 311.000 cents 311.000000 3: 510.000 cents 510.000000 4: 700.000 cents 700.000000 5: 822.000 cents 822.000000 6: 1005.000 cents 1005.000000 7: 1199.000 cents 1199.000000
SHOW/INTERVAL
0: 194.0000 cents 194.0000 1: 150.0000 cents 150.0000 2: 161.0000 cents 161.0000 3: 199.0000 cents 199.0000 4: 190.0000 cents 190.0000 5: 122.0000 cents 122.0000 6: 183.0000 cents 183.0000 7: 194.0000 cents 194.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 122.00000 cents 1: 1 150.00000 cents 1: 1 161.00000 cents 1: 1 183.00000 cents 1: 1 190.00000 cents 1: 1 194.00000 cents 1: 1 199.00000 cents 2: 1 305.00000 cents 2: 1 311.00000 cents 2: 1 312.00000 cents 2: 1 344.00000 cents 2: 1 360.00000 cents 2: 1 377.00000 cents 2: 1 389.00000 cents 3: 1 495.00000 cents 3: 1 499.00000 cents 3: 1 505.00000 cents 3: 1 510.00000 cents 3: 1 511.00000 cents 3: 1 527.00000 cents 3: 1 550.00000 cents 4: 1 649.00000 cents 4: 1 672.00000 cents 4: 1 688.00000 cents 4: 1 689.00000 cents 4: 1 694.00000 cents 4: 1 700.00000 cents 4: 1 704.00000 cents 5: 1 810.00000 cents 5: 1 822.00000 cents 5: 1 839.00000 cents 5: 1 855.00000 cents 5: 1 887.00000 cents 5: 1 888.00000 cents 5: 1 894.00000 cents 6: 1 1000.00000 cents 6: 1 1005.00000 cents 6: 1 1009.00000 cents 6: 1 1016.00000 cents 6: 1 1038.00000 cents 6: 1 1049.00000 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 : 150.0 311.0 510.0 700.0 822.0 1005.0 1199.0 150.0 : 161.0 360.0 550.0 672.0 855.0 1049.0 1199.0 311.0 : 199.0 389.0 511.0 694.0 888.0 1038.0 1199.0 510.0 : 190.0 312.0 495.0 689.0 839.0 1000.0 1199.0 700.0 : 122.0 305.0 499.0 649.0 810.0 1009.0 1199.0 822.0 : 183.0 377.0 527.0 688.0 887.0 1077.0 1199.0 1005.0: 194.0 344.0 505.0 704.0 894.0 1016.0 1199.0 1199.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 122.0000 .. 199.0000 cents 77.00000 cents 122.00000 cents 2: 305.0000 .. 389.0000 cents 84.00000 cents 106.00000 cents 3: 495.0000 .. 550.0000 cents 55.00000 cents 106.00000 cents 4: 649.0000 .. 704.0000 cents 55.00000 cents 99.00000 cents 5: 810.0000 .. 894.0000 cents 84.00000 cents 106.00000 cents 6: 1000.0000 .. 1077.0000 cents 77.00000 cents 106.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 122.00000 cents, class 1 Average step (divided formal octave): 171.2857 cents Largest one step interval : 199.00000 cents Average / Smallest step : 1.403981 Largest / Average step : 1.161802 Largest / Smallest step : 1.631148 Median interval of one step : 183.00000 cents, amount: 1 Least squares average step : 168.82143 cents, oct.: 1181.75000 cents Scale is strictly proper Scale is a mode of a 1199-tone equal temperament with octave 1199.000 cents degrees: 150 311 510 700 822 1005 1199 Least number of segments generator : 600 of 600.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 927 of 927.000 cents and inv. generated superset size: 275 = 268 more = 3928.571% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : BCGEADF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 99.00000 cents Scale diversity : 1.410146 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.639700 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 : 1.00000 cents Number of recognisable fifths : 5, average 695.0000 cents Number of appreciable fifths : 4, average 696.7500 cents Number of recognisable fourths : 5, average 504.0000 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% Limited inverse transpositions with margin 78.0000 cents: 2 5 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 21.9958 c. M:-34.4286 c. Lebeng 12: 1 2 2 2 1 2 2 P M ME S SD: 21.6846 c. M: 50.0833 c. G.Dorian, M.Phrygian, G.M.Hypoaeolian, Bhairavi That, Mela Hanumatodi, Raga Asavari (Asaveri), Bilashkhani Todi, Ghanta, Makam Kurd, Gregorian nr.3, In, Zokuso: Japan, Ousak: Greece, Major inverse 15: 2 2 2 3 1 3 2 SP D3 S SD: 21.2233 c. M:-34.1333 c. 16: 2 2 3 2 2 2 3 SP M ME S SD: 16.6769 c. M: 30.8125 c. Pseudo Pelog, Pelogic-7, Antiionian 19: 2 3 3 3 2 3 3 SP M ME S SD: 9.7962 c. M: 23.7895 c. Nineteen-tone Phrygian 23: 3 3 4 3 3 3 4 SP M ME S SD: 12.1083 c. M: 22.3043 c. 24: 3 3 4 4 2 4 4 SP D3 S SD: 10.5778 c. M: 22.6667 c. Maqam 'Ushshaq Turki, Urfa, Isfahan, Dastgah-e Shur 26: 3 4 4 4 3 4 4 SP M ME S SD: 8.5129 c. M:-11.8077 c. 31: 4 4 5 5 3 5 5 SP D3 S SD: 5.1662 c. M: 9.7742 c. 38: 5 5 6 6 4 6 6 SP D3 S SD: 4.8711 c. M:-7.7632 c. 50: 6 7 8 8 5 8 8 SP SD: 4.6211 c. M: 6.6800 c. 57: 7 8 9 9 6 9 9 SP SD: 4.0251 c. M: 5.8421 c. 61: 8 8 10 10 6 9 10 SP SD: 4.5156 c. M:-7.6066 c. 63: 8 8 11 10 6 10 10 SP SD: 3.8970 c. M: 6.4921 c. 70: 9 9 12 11 7 11 11 SP SD: 3.2898 c. M:-5.5857 c. 73: 9 10 12 12 7 11 12 SP SD: 2.8271 c. M:-6.2603 c. 80: 10 11 13 13 8 12 13 SP SD: 2.3810 c. M:-4.4125 c. 82: 10 11 14 13 8 13 13 SP SD: 2.9701 c. M: 3.9390 c. 89: 11 12 15 14 9 14 14 SP SD: 2.3221 c. M:-5.3933 c. 104: 13 14 17 17 10 16 17 SP SD: 2.2056 c. M: 3.4519 c. 111: 14 15 18 18 11 17 18 SP SD: 1.5917 c. M: 2.3153 c. 146: 18 20 24 23 15 22 24 SP SD: 1.7141 c. M: 3.0959 c. 150: 19 20 25 24 15 23 24 SP SD: 1.8736 c. M:-3.4133 c. 153: 19 21 25 24 16 23 25 SP SD: 1.6265 c. M: 2.5425 c. 159: 20 21 27 25 16 24 26 SP SD: 1.5890 c. M:-2.7799 c. 162: 20 22 27 26 16 25 26 SP SD: 1.5484 c. M:-3.1173 c. 166: 21 22 28 26 17 25 27 SP SD: 1.4337 c. M:-2.8253 c. 178: 22 24 30 28 18 27 29 SP SD: 1.2224 c. M:-1.9326 c. 185: 23 25 31 29 19 28 30 SP SD: 0.9485 c. M:-2.0054 c. 190: 24 25 32 30 19 29 31 SP SD: 1.3174 c. M: 1.7842 c. 192: 24 26 32 30 20 29 31 SP SD: 1.2932 c. M:-2.3125 c. 193: 24 26 32 31 19 30 31 SP SD: 1.2621 c. M:-2.0052 c. 197: 25 26 33 31 20 30 32 SP SD: 1.0198 c. M:-2.1574 c. 209: 26 28 35 33 21 32 34 SP SD: 0.9480 c. M: 1.6316 c. 216: 27 29 36 34 22 33 35 SP SD: 0.4038 c. M:-0.6852 c. 327: 41 44 54 52 33 50 53 SP SD: 0.4364 c. M:-0.6667 c. 471: 59 63 78 75 48 72 76 SP SD: 0.4351 c. M: 0.8705 c. 505: 63 68 84 80 51 77 82 SP SD: 0.4296 c. M: 0.6891 c. 512: 64 69 85 81 52 78 83 SP SD: 0.3080 c. M:-0.5117 c. 543: 68 73 90 86 55 83 88 SP SD: 0.2896 c. M: 0.5856 c. 649: 81 87 108 103 66 99 105 SP SD: 0.2877 c. M: 0.6271 c. 656: 82 88 109 104 67 100 106 SP SD: 0.2398 c. M:-0.4848 c. 687: 86 92 114 109 70 105 111 SP SD: 0.2296 c. M: 0.3814 c. 767: 96 103 127 122 78 117 124 SP SD: 0.2274 c. M: 0.3859 c. 865: 108 116 144 137 88 132 140 SP SD: 0.2267 c. M: 0.5075 c. 872: 109 117 145 138 89 133 141 SP SD: 0.1637 c. M: 0.2500 c. 903: 113 121 150 143 92 138 146 SP SD: 0.1678 c. M: 0.2957 c. 976: 122 131 162 155 99 149 158 SP SD: 0.1566 c. M:-0.2357 c. 983: 123 132 163 156 100 150 159 SP SD: 0.0887 c. M: 0.1506 c. 1199: 150 161 199 190 122 183 194 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 1.0000 cents 2 x x x 3 x x 4 S SD: 1.0980 cents 3 x x 4 x 5 x 6 S SD: 21.1674 cents 4 x 5 x 6 x 7:8 S SD: 20.8949 cents 5 x 6:7 x 8:9:10 S SD: 14.8436 cents 6 x 7:8:9:10:11:12 S SD: 14.8621 cents 7 x 8:9 x 11:13:14 SD: 26.8295 cents 8:9:10:11:12:13:14:16 S SD: 15.6115 cents 9:10:11:12:13:14:16:18 S SD: 14.1960 cents 10:11:12:13:15:16:18:20 SD: 8.5611 cents 14:15:17:19:21:23:25:28 SD: 8.2352 cents 15:16:18:20:22:24:27:30 S SD: 8.1103 cents 18:20:22:24:27:29:32:36 SD: 7.3069 cents 20:22:24:27:30:32:36:40 S SD: 3.4122 cents 32:35:38:43:48:51:57:64 SD: 3.1094 cents 36:39:43:48:54:58:64:72 SD: 2.7946 cents 41:45:49:55:61:66:73:82 SD: 2.5792 cents 44:48:53:59:66:71:79:88 SD: 2.2279 cents 46:50:55:62:69:74:82:92 SD: 1.4569 cents 56:61:67:75:84:90:100:112 SD: 0.7649 cents 76:83:91:102:114:122:136:152 SD: 0.7170 cents 122:133:146:164:183:196:218:244 SD: 0.4822 cents 178:194:213:239:267:286:318:356 SD: 0.3811 cents 219:239:262:294:328:352:391:438 SD: 0.3512 cents 245:267:293:329:367:394:438:490 SD: 0.3197 cents 295:322:353:396:442:474:527:590 SD: 0.3185 cents 301:328:360:404:451:484:538:602 SD: 0.2994 cents 309:337:370:415:463:497:552:618 SD: 0.2508 cents 365:398:437:490:547:587:652:730 SD: 0.2193 cents 441:481:528:592:661:709:788:881 SD: 0.2023 cents 487:531:583:654:730:783:870:973 SD: 0.1993 cents 508:554:608:682:761:817:908:1015 SD: 0.1550 cents 540:589:646:725:809:868:965:1079 SD: 0.1531 cents 564:615:675:757:845:907:1008:1127 SD: 0.1325 cents