Scala analysis: Greece_Second_Plagal
Second Plagal (Voice), Greece
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 111.000 cents 111.000000 2: 389.000 cents 389.000000 3: 505.000 cents 505.000000 4: 711.000 cents 711.000000 5: 801.000 cents 801.000000 6: 995.000 cents 995.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 205.0000 cents 205.0000 1: 111.0000 cents 111.0000 2: 278.0000 cents 278.0000 3: 116.0000 cents 116.0000 4: 206.0000 cents 206.0000 5: 90.0000 cents 90.0000 6: 194.0000 cents 194.0000 7: 205.0000 cents 205.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 90.00000 cents 1: 1 111.00000 cents 1: 1 116.00000 cents 1: 1 194.00000 cents 1: 1 205.00000 cents 1: 1 206.00000 cents 1: 1 278.00000 cents 2: 1 284.00000 cents 2: 1 296.00000 cents 2: 1 316.00000 cents 2: 1 322.00000 cents 2: 1 389.00000 cents 2: 1 394.00000 cents 2: 1 399.00000 cents 3: 1 412.00000 cents 3: 1 489.00000 cents 3: 1 490.00000 cents 3: 1 505.00000 cents 3: 1 510.00000 cents 3: 1 594.00000 cents 3: 1 600.00000 cents 4: 1 600.00000 cents 4: 1 606.00000 cents 4: 1 690.00000 cents 4: 1 695.00000 cents 4: 1 710.00000 cents 4: 1 711.00000 cents 4: 1 788.00000 cents 5: 1 801.00000 cents 5: 1 806.00000 cents 5: 1 811.00000 cents 5: 1 878.00000 cents 5: 1 884.00000 cents 5: 1 904.00000 cents 5: 1 916.00000 cents 6: 1 922.00000 cents 6: 1 994.00000 cents 6: 1 995.00000 cents 6: 1 1006.00000 cents 6: 1 1084.00000 cents 6: 1 1089.00000 cents 6: 1 1110.00000 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 : 111.0 389.0 505.0 711.0 801.0 995.0 1200.0 111.0 : 278.0 394.0 600.0 690.0 884.0 1089.0 1200.0 389.0 : 116.0 322.0 412.0 606.0 811.0 922.0 1200.0 505.0 : 206.0 296.0 490.0 695.0 806.0 1084.0 1200.0 711.0 : 90.0 284.0 489.0 600.0 878.0 994.0 1200.0 801.0 : 194.0 399.0 510.0 788.0 904.0 1110.0 1200.0 995.0 : 205.0 316.0 594.0 710.0 916.0 1006.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 90.0000 .. 278.0000 cents 188.00000 cents 90.00000 cents 2: 284.0000 .. 399.0000 cents 115.00000 cents 6.00000 cents 3: 412.0000 .. 600.0000 cents 188.00000 cents 13.00000 cents 4: 600.0000 .. 788.0000 cents 188.00000 cents 1/1, 0.0000 cents 5: 801.0000 .. 916.0000 cents 115.00000 cents 13.00000 cents 6: 922.0000 .. 1110.0000 cents 188.00000 cents 6.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 90.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 278.00000 cents Average / Smallest step : 1.904762 Largest / Average step : 1.621667 Largest / Smallest step : 3.088889 Median interval of one step : 194.00000 cents, amount: 1 Least squares average step : 168.73571 cents, oct.: 1181.15000 cents Scale is proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 111 389 505 711 801 995 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 623 of 623.000 cents and inv. generated superset size: 601 = 594 more = 8585.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : BGCFADE Scale is sum-free (all different intervals) Scale is not a Constant Structure Scale diversity : 1.504305 Rothenberg stability : 0.952381 = 20/21 Lumma stability : 0.181667 Rothenberg efficiency : 0.292517 redundancy: 0.707483 Efficiency x scale size : 2.047619 Number of different interval sizes : 41 = 6.83333 / 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 Most common intervals : 600.00000 cents & inv., amount: 2 Number of recognisable fifths : 4, average 701.5000 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 39.2527 c. M:-60.4286 c. Lebeng 9: 1 2 1 1 1 1 2 N D3 S SD: 32.0530 c. M: 61.6667 c. 10: 1 2 1 2 1 1 2 P M ME S SD: 24.9971 c. M:-39.0000 c. 12: 1 3 1 2 1 2 2 P D3 SD: 7.6904 c. M: 11.0000 c. Phrygian Dominant, Phrygian Major, Mela Vakulabharanam, Raga Ahiri, Basant Mukhari, Jogiya, Vativasantabhairavi, Zilof, Ahava Rabba, Freygish: Jewish, Maqam Hijaz-Nahawand, Humayun, Spanish Gipsy, Dorico Flamenco: Spain, Hitzaz: Greece, Harmonic Major inverse, Mixolydian flat 2 flat 6 30: 3 7 3 5 2 5 5 P SD: 8.7342 c. M:-15.0000 c. 31: 3 7 3 5 3 5 5 SP D3 SD: 8.5212 c. M: 14.2258 c. 34: 3 8 3 6 3 5 6 P SD: 6.8975 c. M: 10.8824 c. 40: 4 9 4 7 3 6 7 P SD: 6.4807 c. M:-9.0000 c. 42: 4 10 4 7 3 7 7 P SD: 6.0334 c. M:-11.0000 c. 46: 4 11 4 8 4 7 8 P SD: 6.0247 c. M: 9.3478 c. 47: 4 11 5 8 3 8 8 N SD: 6.0111 c. M: 9.5106 c. 52: 5 12 5 9 4 8 9 P SD: 3.9402 c. M:-6.6923 c. 64: 6 15 6 11 5 10 11 P SD: 2.8723 c. M:-5.2500 c. 76: 7 18 7 13 6 12 13 P SD: 2.7170 c. M:-5.7368 c. 78: 7 18 8 13 6 13 13 P SD: 3.2592 c. M:-5.0000 c. 83: 8 19 8 14 6 14 14 P SD: 3.2027 c. M: 5.8193 c. 86: 8 20 8 15 6 14 15 P SD: 2.9585 c. M: 5.6512 c. 93: 9 21 9 16 7 15 16 SP SD: 2.3279 c. M:-5.1290 c. 99: 9 23 10 17 7 16 17 N SD: 2.4201 c. M:-4.1515 c. 105: 10 24 10 18 8 17 18 SP SD: 1.8118 c. M:-3.2857 c. 111: 10 26 11 19 8 18 19 N SD: 1.9102 c. M:-3.1081 c. 117: 11 27 11 20 9 19 20 SP SD: 1.7630 c. M: 3.3077 c. 130: 12 30 13 22 10 21 22 P SD: 1.5619 c. M:-2.6923 c. 142: 13 33 14 24 11 23 24 P SD: 1.4596 c. M:-2.1831 c. 152: 14 35 15 26 11 25 26 P SD: 1.6227 c. M: 3.6316 c. 154: 14 36 15 26 12 25 26 P SD: 1.6132 c. M:-2.4026 c. 164: 15 38 16 28 12 27 28 P SD: 1.5297 c. M: 3.4390 c. 169: 16 39 16 29 13 27 29 SP SD: 1.3882 c. M:-2.6095 c. 174: 16 40 17 30 13 28 30 P SD: 1.4959 c. M: 2.7931 c. 181: 17 42 17 31 14 29 31 SP SD: 1.3726 c. M:-2.1602 c. 186: 17 43 18 32 14 30 32 P SD: 1.3823 c. M: 1.9032 c. 192: 18 44 19 33 14 31 33 P SD: 1.2464 c. M:-1.5000 c. 204: 19 47 20 35 15 33 35 P SD: 0.7848 c. M: 1.0000 c. 216: 20 50 21 37 16 35 37 P SD: 0.4861 c. M: 1.0000 c. 228: 21 53 22 39 17 37 39 P SD: 0.5087 c. M: 1.0000 c. 268: 25 62 26 46 20 43 46 P SD: 0.7744 c. M: 0.9701 c. 280: 26 65 27 48 21 45 48 P SD: 0.6061 c. M:-1.0000 c. 346: 32 80 34 59 26 56 59 P SD: 0.5764 c. M:-1.3584 c. 358: 33 83 35 61 27 58 61 P SD: 0.5257 c. M:-1.1453 c. 370: 34 86 36 63 28 60 63 P SD: 0.5927 c. M:-0.9459 c. 376: 35 87 36 65 28 61 64 P SD: 0.5644 c. M: 0.7447 c. 380: 35 88 37 65 29 61 65 P SD: 0.5534 c. M:-1.1053 c. 444: 41 103 43 76 33 72 76 P SD: 0.4529 c. M: 1.0000 c. 463: 43 107 45 79 35 75 79 SP SD: 0.4164 c. M: 0.8488 c. 466: 43 108 45 80 35 75 80 P SD: 0.4287 c. M: 1.0086 c. 496: 46 115 48 85 37 80 85 P SD: 0.4318 c. M: 0.6452 c. 508: 47 118 49 87 38 82 87 P SD: 0.4060 c. M:-0.7638 c. 527: 49 122 51 90 40 85 90 SP SD: 0.4332 c. M:-0.5750 c. 574: 53 133 56 98 43 93 98 P SD: 0.3893 c. M:-0.9233 c. 584: 54 135 57 100 44 94 100 P SD: 0.3807 c. M: 0.6438 c. 592: 55 137 57 102 44 96 101 P SD: 0.3296 c. M:-0.4865 c. 596: 55 138 58 102 45 96 102 P SD: 0.3149 c. M: 0.4094 c. 604: 56 140 58 104 45 98 103 P SD: 0.3108 c. M:-0.4040 c. 608: 56 141 59 104 46 98 104 P SD: 0.3209 c. M: 0.4737 c. 682: 63 158 66 117 51 110 117 P SD: 0.3751 c. M: 0.8651 c. 685: 63 159 66 118 51 111 117 N SD: 0.3525 c. M: 0.6350 c. 691: 64 160 67 118 52 112 118 SP SD: 0.3496 c. M: 0.7250 c. 692: 64 160 67 119 52 112 118 P SD: 0.2980 c. M: 0.5607 c. 722: 67 167 70 124 54 117 123 P SD: 0.3083 c. M:-0.5679 c. 725: 67 168 70 125 54 117 124 N SD: 0.3012 c. M:-0.7241 c. 734: 68 170 71 126 55 119 125 P SD: 0.2722 c. M:-0.6403 c. 737: 68 171 71 127 55 119 126 N SD: 0.2616 c. M:-0.5332 c. 820: 76 190 79 141 61 133 140 P SD: 0.2565 c. M: 0.5122 c. 824: 76 191 80 141 62 133 141 P SD: 0.2575 c. M: 0.3398 c. 842: 78 195 81 145 63 136 144 P SD: 0.2235 c. M: 0.4869 c. 900: 83 209 87 154 68 145 154 P SD: 0.3086 c. M: 0.3333 c. 901: 83 209 87 155 67 146 154 N SD: 0.3009 c. M: 0.5560 c. 906: 84 210 87 156 68 146 155 P SD: 0.2984 c. M:-0.4040 c. 908: 84 210 88 156 68 147 155 P SD: 0.1956 c. M: 0.4537 c. 920: 85 213 89 158 69 149 157 P SD: 0.1845 c. M: 0.3043 c. 932: 86 216 90 160 70 151 159 P SD: 0.2227 c. M: 0.2790 c. 950: 88 220 92 163 71 154 162 P SD: 0.2009 c. M:-0.3684 c. 960: 89 222 93 165 72 155 164 P SD: 0.1890 c. M:-0.2500 c. 972: 90 225 94 167 73 157 166 P SD: 0.1193 c. M:-0.2346 c. 984: 91 228 95 169 74 159 168 P SD: 0.1067 c. M:-0.2195 c. 996: 92 231 96 171 75 161 170 P SD: 0.1607 c. M:-0.2048 c. 1176: 109 272 114 202 88 190 201 P SD: 0.1569 c. M:-0.2245 c. 1188: 110 275 115 204 89 192 203 P SD: 0.0777 c. M:-0.1111 c. 1200: 111 278 116 206 90 194 205 P SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 4.5225 cents 3 x x 4 x 5 x 6 S SD: 27.8828 cents 4 x 5 x 6 x 7:8 S SD: 6.9557 cents 5 x 6:7 x 8:9:10 S SD: 21.9647 cents 6 x x 8:9:10:11:12 S SD: 20.0342 cents 7:8:9 x x 11:12:14 SD: 28.8001 cents 8:9:10:11:12:13:14:16 S SD: 16.3596 cents 9:10:11:12 x 14:16:18 S SD: 15.0739 cents 10:11 x 13:15:16:18:20 SD: 13.1751 cents 11:12:14:15:17 x 20:22 SD: 13.7662 cents 12:13:15:16:18:19:21:24 SD: 5.7363 cents 24:26:30:32:36:38:43:48 SD: 4.8220 cents 27:29:34:36:41:43:48:54 SD: 3.1409 cents 32:34:40:43:48:51:57:64 SD: 2.1330 cents 44:47:55:59:66:70:78:88 SD: 1.6289 cents 59:63:74:79:89:94:105:118 SD: 1.0525 cents 92:98:115:123:139:146:163:184 SD: 1.0314 cents 95:101:119:127:143:151:169:190 SD: 0.9780 cents 103:110:129:138:155:164:183:206 SD: 0.9101 cents 104:111:130:139:157:165:185:208 SD: 0.7897 cents 107:114:134:143:161:170:190:214 SD: 0.7142 cents 124:132:155:166:187:197:220:248 SD: 0.6526 cents 136:145:170:182:205:216:242:272 SD: 0.5553 cents 151:161:189:202:228:240:268:302 SD: 0.4931 cents 183:195:229:245:276:291:325:366 SD: 0.3614 cents 242:258:303:324:365:384:430:484 SD: 0.2544 cents 274:292:343:367:413:435:487:548 SD: 0.2525 cents 286:305:358:383:431:454:508:572 SD: 0.2343 cents 301:321:377:403:454:478:535:602 SD: 0.1839 cents 345:368:432:462:520:548:613:690 SD: 0.1733 cents 408:435:511:546:615:648:725:816 SD: 0.1625 cents 425:453:532:569:641:675:755:850 SD: 0.1115 cents