Scala analysis: Greece_First_Plagal
First Plagal (Voice), Greece
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 195.000 cents 195.000000 2: 295.000 cents 295.000000 3: 500.000 cents 500.000000 4: 706.000 cents 706.000000 5: 818.000 cents 818.000000 6: 1001.000 cents 1001.000000 7: 1201.000 cents 1201.000000
SHOW/INTERVAL
0: 200.0000 cents 200.0000 1: 195.0000 cents 195.0000 2: 100.0000 cents 100.0000 3: 205.0000 cents 205.0000 4: 206.0000 cents 206.0000 5: 112.0000 cents 112.0000 6: 183.0000 cents 183.0000 7: 200.0000 cents 200.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 100.00000 cents 1: 1 112.00000 cents 1: 1 183.00000 cents 1: 1 195.00000 cents 1: 1 200.00000 cents 1: 1 205.00000 cents 1: 1 206.00000 cents 2: 2 295.00000 cents 2: 1 305.00000 cents 2: 1 318.00000 cents 2: 1 383.00000 cents 2: 1 395.00000 cents 2: 1 411.00000 cents 3: 2 495.00000 cents 3: 1 500.00000 cents 3: 1 501.00000 cents 3: 1 511.00000 cents 3: 1 523.00000 cents 3: 1 578.00000 cents 4: 1 623.00000 cents 4: 1 678.00000 cents 4: 1 690.00000 cents 4: 1 700.00000 cents 4: 1 701.00000 cents 4: 2 706.00000 cents 5: 1 790.00000 cents 5: 1 806.00000 cents 5: 1 818.00000 cents 5: 1 883.00000 cents 5: 1 896.00000 cents 5: 2 906.00000 cents 6: 1 995.00000 cents 6: 1 996.00000 cents 6: 1 1001.00000 cents 6: 1 1006.00000 cents 6: 1 1018.00000 cents 6: 1 1089.00000 cents 6: 1 1101.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.33333 = 19/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 195.0 295.0 500.0 706.0 818.0 1001.0 1201.0 195.0 : 100.0 305.0 511.0 623.0 806.0 1006.0 1201.0 295.0 : 205.0 411.0 523.0 706.0 906.0 1101.0 1201.0 500.0 : 206.0 318.0 501.0 701.0 896.0 996.0 1201.0 706.0 : 112.0 295.0 495.0 690.0 790.0 995.0 1201.0 818.0 : 183.0 383.0 578.0 678.0 883.0 1089.0 1201.0 1001.0: 200.0 395.0 495.0 700.0 906.0 1018.0 1201.0 1201.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 100.0000 .. 206.0000 cents 106.00000 cents 100.00000 cents 2: 295.0000 .. 411.0000 cents 116.00000 cents 89.00000 cents 3: 495.0000 .. 578.0000 cents 83.00000 cents 84.00000 cents 4: 623.0000 .. 706.0000 cents 83.00000 cents 45.00000 cents 5: 790.0000 .. 906.0000 cents 116.00000 cents 84.00000 cents 6: 995.0000 .. 1101.0000 cents 106.00000 cents 89.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 100.00000 cents, class 1 Average step (divided formal octave): 171.5714 cents Largest one step interval : 206.00000 cents Average / Smallest step : 1.715714 Largest / Average step : 1.200666 Largest / Smallest step : 2.060000 Median interval of one step : 195.00000 cents, amount: 1 Least squares average step : 168.65714 cents, oct.: 1180.60000 cents Scale is strictly proper Scale is a mode of a 1201-tone equal temperament with octave 1201.000 cents degrees: 195 295 500 706 818 1001 1201 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1062 of 1062.000 cents and inv. generated superset size: 232 = 225 more = 3314.286% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : DAFGBCE Scale is a Constant Structure, by a margin of 45.00000 cents Scale diversity : 1.490612 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.492090 Rothenberg efficiency : 0.312925 redundancy: 0.687075 Efficiency x scale size : 2.190476 Number of different interval sizes : 38 = 6.33333 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 6.33333 = 19/3 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 5, average 700.6000 cents Number of recognisable fourths : 5, average 500.4000 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 116.0000 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 28.9546 c. M:-48.1429 c. Lebeng 12: 2 1 2 2 1 2 2 P M ME S SD: 7.4089 c. M: 17.3333 c. G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia 29: 5 2 5 5 3 4 5 SP SD: 6.9728 c. M:-12.0690 c. 36: 6 3 6 6 4 5 6 SP SD: 6.9764 c. M:-16.0278 c. Dastgah-e Nava 37: 6 3 6 7 3 6 6 SP SD: 6.7162 c. M: 13.1081 c. 38: 6 3 7 6 4 6 6 SP SD: 7.6355 c. M: 10.6842 c. 41: 7 3 7 7 4 6 7 SP SD: 4.6065 c. M:-10.0488 c. 44: 7 4 7 8 4 7 7 SP SD: 5.5094 c. M:-8.9318 c. 48: 8 4 8 8 5 7 8 SP SD: 4.5182 c. M:-7.6875 c. 53: 9 4 9 9 5 8 9 SP SD: 4.0581 c. M:-8.9434 c. 56: 9 5 9 10 5 9 9 SP SD: 4.4365 c. M:-6.9821 c. 60: 10 5 10 10 6 9 10 SP SD: 3.6055 c. M: 5.4167 c. 72: 12 6 12 12 7 11 12 SP SD: 3.4687 c. M: 5.4167 c. 73: 12 6 12 13 7 11 12 SP SD: 3.3490 c. M: 6.4384 c. 82: 13 7 14 14 8 12 14 SP SD: 3.1327 c. M: 5.0488 c. 85: 14 7 14 15 8 13 14 SP SD: 2.6203 c. M: 5.4706 c. 94: 15 8 16 16 9 14 16 SP SD: 2.5618 c. M: 4.4255 c. 97: 16 8 16 17 9 15 16 SP SD: 2.4233 c. M: 4.7423 c. 106: 17 9 18 18 10 16 18 SP SD: 2.4199 c. M: 3.9434 c. 110: 18 9 19 19 10 17 18 SP SD: 2.1954 c. M:-3.6818 c. 122: 20 10 21 21 11 19 20 SP SD: 1.9354 c. M:-3.1148 c. 134: 22 11 23 23 12 21 22 SP SD: 1.9602 c. M:-2.8209 c. 150: 24 13 25 26 14 23 25 SP SD: 1.9366 c. M: 3.5867 c. 151: 25 12 26 26 14 23 25 SP SD: 1.8043 c. M:-3.8411 c. 156: 25 13 27 27 14 24 26 SP SD: 1.7552 c. M: 2.5321 c. 158: 26 13 27 27 15 24 26 SP SD: 1.9617 c. M:-2.9367 c. 160: 26 13 28 27 15 24 27 SP SD: 1.7305 c. M:-2.9187 c. 163: 26 14 28 28 15 25 27 SP SD: 1.5040 c. M: 3.4294 c. 170: 28 14 29 29 16 26 28 SP SD: 1.7186 c. M:-2.8118 c. 173: 28 14 30 30 16 26 29 SP SD: 1.6788 c. M: 3.4277 c. 175: 28 15 30 30 16 27 29 SP SD: 1.3371 c. M: 2.8400 c. 178: 29 15 30 31 16 27 30 SP SD: 1.6414 c. M:-2.4551 c. 179: 29 15 31 30 17 27 30 SP SD: 1.4525 c. M:-3.2123 c. 180: 29 15 31 31 17 27 30 SP SD: 1.3767 c. M:-2.6833 c. 185: 30 15 32 32 17 28 31 SP SD: 1.3338 c. M: 2.8649 c. 187: 30 16 32 32 17 29 31 SP SD: 1.3656 c. M: 2.3476 c. 192: 31 16 33 33 18 29 32 SP SD: 0.8579 c. M:-1.4323 c. 204: 33 17 35 35 19 31 34 SP SD: 0.4561 c. M: 0.7206 c. 216: 35 18 37 37 20 33 36 SP SD: 0.3584 c. M: 0.6528 c. 420: 68 35 72 72 39 64 70 SP SD: 0.3483 c. M: 0.5524 c. 468: 76 39 80 80 44 71 78 SP SD: 0.3150 c. M:-0.6303 c. 480: 78 40 82 82 45 73 80 SP SD: 0.2649 c. M:-0.4167 c. 684: 111 57 117 117 64 104 114 SP SD: 0.2017 c. M:-0.4167 c. 696: 113 58 119 119 65 106 116 SP SD: 0.1966 c. M:-0.4167 c. 709: 115 59 121 122 66 108 118 SP SD: 0.2292 c. M:-0.3709 c. 721: 117 60 123 124 67 110 120 SP SD: 0.1764 c. M: 0.2774 c. 937: 152 78 160 161 87 143 156 SP SD: 0.1708 c. M:-0.2444 c. 973: 158 81 166 167 91 148 162 SP SD: 0.1422 c. M:-0.3587 c. 985: 160 82 168 169 92 150 164 SP SD: 0.0786 c. M:-0.1431 c. 1189: 193 99 203 204 111 181 198 SP SD: 0.0748 c. M:-0.1749 c. 1201: 195 100 205 206 112 183 200 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: 2.0834 cents 3 x x 4 x 5 x 6 S SD: 22.1317 cents 4 x 5 x 6 x 7:8 S SD: 24.2264 cents 5 x 6:7 x 8:9:10 S SD: 17.3544 cents 6 x 7:8:9:10:11:12 S SD: 14.4865 cents 7:8 x 9 x 11:12:14 SD: 21.3456 cents 8:9 x 11:12:13:14:16 SD: 10.8946 cents 9:10:11:12 x 14:16:18 S SD: 12.6404 cents 10:11:12:13:15:16:18:20 SD: 8.7290 cents 13 x 15:17:20:21:23:26 SD: 12.2571 cents 14:16:17:19:21:22:25:28 SD: 10.2112 cents 15:17:18:20:23:24:27:30 SD: 6.9277 cents 16:18:19:21:24:26:29:32 SD: 6.8228 cents 17:19:20:23:26:27:30:34 SD: 6.7253 cents 18:20:21:24:27:29:32:36 SD: 4.6379 cents 26:29:31:35:39:42:46:52 SD: 3.7320 cents 27:30:32:36:41:43:48:54 SD: 3.6043 cents 32:36:38:43:48:51:57:64 SD: 2.7145 cents 33:37:39:44:50:53:59:66 SD: 2.2817 cents 42:47:50:56:63:67:75:84 SD: 1.8391 cents 50:56:59:67:75:80:89:100 SD: 1.8131 cents 59:66:70:79:89:95:105:118 SD: 1.5510 cents 60:67:71:80:90:96:107:120 SD: 1.1823 cents 75:84:89:100:113:120:134:150 SD: 1.0461 cents 92:103:109:123:138:148:164:184 SD: 1.0402 cents 93:104:110:124:140:149:166:186 SD: 0.8894 cents 101:113:120:135:152:162:180:202 SD: 0.6643 cents 119:133:141:159:179:191:212:238 SD: 0.5546 cents 161:180:191:215:242:258:287:322 SD: 0.4196 cents 167:187:198:223:251:268:298:334 SD: 0.3397 cents 268:300:318:358:403:430:478:536 SD: 0.3162 cents 286:320:339:382:430:459:510:572 SD: 0.2849 cents 328:367:389:438:493:526:585:656 SD: 0.2340 cents 409:458:485:546:615:656:729:818 SD: 0.2045 cents 469:525:556:626:705:752:836:939 SD: 0.1793 cents 528:591:626:705:794:847:941:1057 SD: 0.1602 cents 538:602:638:718:809:863:959:1077 SD: 0.1303 cents