Scala analysis: Georgia_GVM204-M

GVM204-M (Voice), Georgia

Generated by Scala: https://www.huygens-fokker.org/scala/

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        202.000 cents     202.000000
  2:        380.000 cents     380.000000
  3:        562.000 cents     562.000000
  4:        751.000 cents     751.000000
  5:        931.000 cents     931.000000
  6:       1099.000 cents    1099.000000
  7:       1265.000 cents    1265.000000
  8:       1412.000 cents    1412.000000
SHOW/INTERVAL
  0:        147.0000 cents    147.0000
  1:        202.0000 cents    202.0000
  2:        178.0000 cents    178.0000
  3:        182.0000 cents    182.0000
  4:        189.0000 cents    189.0000
  5:        180.0000 cents    180.0000
  6:        168.0000 cents    168.0000
  7:        166.0000 cents    166.0000
  8:        147.0000 cents    147.0000
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 147.00000 cents
  1:   1 166.00000 cents
  1:   1 168.00000 cents
  1:   1 178.00000 cents
  1:   1 180.00000 cents
  1:   1 182.00000 cents
  1:   1 189.00000 cents
  1:   1 202.00000 cents
  2:   1 313.00000 cents
  2:   1 334.00000 cents
  2:   1 348.00000 cents
  2:   1 349.00000 cents
  2:   1 360.00000 cents
  2:   1 369.00000 cents
  2:   1 371.00000 cents
  2:   1 380.00000 cents
  3:   1 481.00000 cents
  3:   1 514.00000 cents
  3:   1 515.00000 cents
  3:   1 527.00000 cents
  3:   1 537.00000 cents
  3:   1 549.00000 cents
  3:   1 551.00000 cents
  3:   1 562.00000 cents
  4:   1 661.00000 cents
  4:   1 683.00000 cents
  4:   1 693.00000 cents
  4:   1 703.00000 cents
  4:   1 709.00000 cents
  4:   1 719.00000 cents
  4:   1 729.00000 cents
  4:   1 751.00000 cents
  5:   1 850.00000 cents
  5:   1 861.00000 cents
  5:   1 863.00000 cents
  5:   1 875.00000 cents
  5:   1 885.00000 cents
  5:   1 897.00000 cents
  5:   1 898.00000 cents
  5:   1 931.00000 cents
  6:   1 1032.00000 cents
  6:   1 1041.00000 cents
  6:   1 1043.00000 cents
  6:   1 1052.00000 cents
  6:   1 1063.00000 cents
  6:   1 1064.00000 cents
  6:   1 1078.00000 cents
  6:   1 1099.00000 cents
  7:   1 1210.00000 cents
  7:   1 1223.00000 cents
  7:   1 1230.00000 cents
  7:   1 1232.00000 cents
  7:   1 1234.00000 cents
  7:   1 1244.00000 cents
  7:   1 1246.00000 cents
  7:   1 1265.00000 cents
Highest number of different intervals for one interval class: 8
Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6      7      8     
 0.0   : 202.0 380.0 562.0 751.0 931.0 1099.0 1265.0 1412.0
 202.0 : 178.0 360.0 549.0 729.0 897.0 1063.0 1210.0 1412.0
 380.0 : 182.0 371.0 551.0 719.0 885.0 1032.0 1234.0 1412.0
 562.0 : 189.0 369.0 537.0 703.0 850.0 1052.0 1230.0 1412.0
 751.0 : 180.0 348.0 514.0 661.0 863.0 1041.0 1223.0 1412.0
 931.0 : 168.0 334.0 481.0 683.0 861.0 1043.0 1232.0 1412.0
 1099.0: 166.0 313.0 515.0 693.0 875.0 1064.0 1244.0 1412.0
 1265.0: 147.0 349.0 527.0 709.0 898.0 1078.0 1246.0 1412.0
 1412.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  147.0000  .. 202.0000 cents      55.00000 cents                     147.00000 cents
  2:  313.0000  .. 380.0000 cents      67.00000 cents                     111.00000 cents
  3:  481.0000  .. 562.0000 cents      81.00000 cents                     101.00000 cents
  4:  661.0000  .. 751.0000 cents      90.00000 cents                     99.00000 cents
  5:  850.0000  .. 931.0000 cents      81.00000 cents                     99.00000 cents
  6:  1032.0000 .. 1099.0000 cents     67.00000 cents                     101.00000 cents
  7:  1210.0000 .. 1265.0000 cents     55.00000 cents                     111.00000 cents
SHOW DATA
Number of notes                     : 8
-- Interval properties --
Smallest interval                   : 147.00000 cents, class 1
Average step (divided formal octave): 176.5000 cents
Largest one step interval           : 202.00000 cents
Average / Smallest step             : 1.200680
Largest / Average step              : 1.144476
Largest / Smallest step             : 1.374150
Median interval of one step         : 179.00000 cents, amount: 0
Least squares average step          : 181.62745 cents, oct.:  1453.01961 cents
Scale is strictly proper
Scale is a mode of a 1412-tone equal temperament with octave  1412.000 cents
  degrees: 202 380 562 751 931 1099 1265 1412
Least number of segments generator  : 707 of 707.000 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 1357 of 1357.000 cents and inv.
  generated superset size: 521 = 513 more = 6512.500%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABCDEFGH
Step pattern size order : HDFGECBA
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 99.00000 cents
Scale diversity                     : 0.996052
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.648725
Rothenberg efficiency               : 0.250000   redundancy: 0.750000
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 56 = 8.00000 / class
Number of one step interval sizes   : 8
Highest interval variety            : 8
Mean interval variety               : 8.00000 = 8
Median interval variety             : 8
Lowest interval variety             : 8
Smallest interval difference        : 1.00000 cents
Number of recognisable fifths       : 4, average 706.0000 cents
Number of appreciable fifths        : 3, average 701.6667 cents
Number of recognisable fourths      : 2, average 497.5000 cents
Number of appreciable fourths       : 0
Formal octave complements present   : 1 = 12.5000%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions with margin 70.0000 cents:
 5
-- Rational properties --
FIT/MODE
  8:  1 1 1 1 1 1 1 1  SP B ME I SD: 34.0643 c. M: 48.5000 c. 
 12:  2 1 2 1 2 1 2 1  SP B ME   SD: 29.8450 c. M: 45.0000 c.  Diminished, Modus conjunctus, Messiaen mode 2 inverse, Whole-Half step scale
 15:  2 2 2 2 2 2 1 2  SP M ME   SD: 19.2315 c. M: 41.2667 c. 
 18:  3 2 2 3 2 2 2 2  SP   D3 S SD: 18.5416 c. M:-33.4444 c. 
 20:  3 2 3 3 2 3 2 2  SP   D3 S SD: 18.1400 c. M:-30.6000 c. 
 21:  3 3 2 3 3 2 3 2  SP M ME   SD: 16.0488 c. M: 24.0952 c. 
 22:  3 3 3 3 3 2 3 2  SP   D3   SD: 16.3716 c. M:-31.7273 c. 
 23:  3 3 3 3 3 3 2 3  SP M ME   SD: 16.8413 c. M: 37.1739 c. 
 26:  4 3 3 4 3 3 3 3  SP   D3 S SD: 12.0190 c. M: 18.9231 c. 
 27:  4 3 4 3 4 3 3 3  SP   D3   SD: 11.0789 c. M: 18.8519 c. 
 30:  4 4 4 4 4 3 4 3  SP   D3   SD: 8.8339 c. M: 16.4667 c. 
 36:  5 5 4 5 5 4 4 4  SP   D3   SD: 8.5786 c. M: 12.8889 c. 
 40:  6 5 5 5 5 5 5 4  SP   T3   SD: 7.8806 c. M: 13.2000 c. 
 41:  6 5 5 6 5 5 5 4  SP        SD: 5.9551 c. M: 10.9756 c. 
 49:  7 6 6 7 6 6 6 5  SP        SD: 6.5706 c. M: 14.4898 c. 
 55:  8 7 7 7 7 7 6 6  SP        SD: 5.0881 c. M: 7.0364 c. 
 64:  9 8 8 9 8 8 7 7  SP        SD: 5.4472 c. M: 10.4375 c. 
 67:  10 8 9 9 8 8 8 7  SP        SD: 5.1117 c. M:-8.7463 c. 
 68:  10 8 9 9 9 8 8 7  SP        SD: 3.5591 c. M: 6.2353 c. 
 77:  11 10 10 10 10 9 9 8  SP        SD: 3.3172 c. M:-6.4675 c. 
 85:  12 11 11 11 11 10 10 9  SP        SD: 2.3705 c. M: 3.4706 c. 
 118: 17 15 15 16 15 14 14 12  SP        SD: 2.2246 c. M:-3.4068 c. 
 126: 18 16 16 17 16 15 15 13  SP        SD: 0.9406 c. M: 1.6825 c. 
 211: 30 27 27 28 27 25 25 22  SP        SD: 1.0563 c. M: 1.5213 c. 
 231: 33 29 30 31 29 28 27 24  SP        SD: 0.9499 c. M: 1.8918 c. 
 267: 38 34 34 36 34 32 31 28  SP        SD: 0.8589 c. M: 1.4307 c. 
 271: 39 34 35 36 35 32 32 28  SP        SD: 0.9145 c. M:-1.6494 c. 
 279: 40 35 36 37 36 33 33 29  SP        SD: 0.7957 c. M: 1.9821 c. 
 316: 45 40 41 42 40 38 37 33  SP        SD: 0.7724 c. M: 1.5823 c. 
 335: 48 42 43 45 43 40 39 35  SP        SD: 0.7752 c. M: 1.4149 c. 
 337: 48 43 43 45 43 40 40 35  SP        SD: 0.8745 c. M:-1.2819 c. 
 349: 50 44 45 47 44 42 41 36  SP        SD: 0.9248 c. M:-1.5272 c. 
 352: 50 45 45 47 45 42 41 37  SP        SD: 0.8882 c. M: 1.4318 c. 
 356: 51 45 46 47 46 42 42 37  SP        SD: 0.8180 c. M: 1.3708 c. 
 357: 51 45 46 48 45 43 42 37  SP        SD: 0.6721 c. M: 1.5322 c. 
 376: 54 47 49 50 48 45 44 39  SP        SD: 0.7846 c. M:-1.3085 c. 
 384: 55 48 50 51 49 46 45 40  SP        SD: 0.6575 c. M: 1.2604 c. 
 397: 57 50 51 53 51 47 47 41  SP        SD: 0.6376 c. M:-1.1763 c. 
 412: 59 52 53 55 53 49 48 43  SP        SD: 0.6373 c. M:-1.1942 c. 
 420: 60 53 54 56 54 50 49 44  SP        SD: 0.6243 c. M: 1.2952 c. 
 432: 62 54 56 58 55 51 51 45  SP        SD: 0.5752 c. M: 0.8519 c. 
 434: 62 55 56 58 55 52 51 45  SP        SD: 0.5691 c. M:-0.8479 c. 
 487: 70 61 63 65 62 58 57 51  SP        SD: 0.5054 c. M:-0.9569 c. 
 502: 72 63 65 67 64 60 59 52  SP        SD: 0.4754 c. M:-0.7849 c. 
 510: 73 64 66 68 65 61 60 53  SP        SD: 0.4517 c. M: 0.7412 c. 
 538: 77 68 69 72 69 64 63 56  SP        SD: 0.4409 c. M:-0.7100 c. 
 558: 80 70 72 75 71 66 66 58  SP        SD: 0.4238 c. M: 0.7778 c. 
 587: 84 74 76 78 75 70 69 61  SP        SD: 0.3853 c. M:-0.8756 c. 
 613: 88 77 79 82 78 73 72 64  SP        SD: 0.3399 c. M:-0.7015 c. 
 628: 90 79 81 84 80 75 74 65  SP        SD: 0.3733 c. M:-0.8535 c. 
 635: 91 80 82 85 81 75 75 66  SP        SD: 0.4582 c. M:-0.6976 c. 
 636: 91 80 82 85 81 76 75 66  SP        SD: 0.4175 c. M: 0.7673 c. 
 643: 92 81 83 86 82 76 76 67  SP        SD: 0.3718 c. M: 1.0218 c. 
 651: 93 82 84 87 83 78 76 68  SP        SD: 0.4413 c. M:-0.6682 c. 
 658: 94 83 85 88 84 78 77 69  SP        SD: 0.4327 c. M: 1.0669 c. 
 664: 95 84 85 89 85 79 78 69  SP        SD: 0.4032 c. M:-0.6446 c. 
 673: 96 85 87 90 86 80 79 70  SP        SD: 0.3463 c. M: 0.5854 c. 
 681: 97 86 88 91 87 81 80 71  SP        SD: 0.4079 c. M: 0.8781 c. 
 699: 100 88 90 94 89 83 82 73  SP        SD: 0.3008 c. M: 0.4621 c. 
 713: 102 90 92 95 91 85 84 74  SP        SD: 0.2948 c. M:-0.4530 c. 
 784: 112 99 101 105 100 93 92 82  SP        SD: 0.2990 c. M: 0.6837 c. 
 799: 114 101 103 107 102 95 94 83  SP        SD: 0.2607 c. M: 0.5382 c. 
 874: 125 110 113 117 111 104 103 91  SP        SD: 0.2714 c. M: 0.4371 c. 
 902: 129 114 116 121 115 107 106 94  SP        SD: 0.2554 c. M:-0.4191 c. 
 910: 130 115 117 122 116 108 107 95  SP        SD: 0.2622 c. M: 0.4330 c. 
 970: 139 122 125 130 124 115 114 101  SP        SD: 0.2609 c. M:-0.6289 c. 
 978: 140 123 126 131 125 116 115 102  SP        SD: 0.2526 c. M: 0.3763 c. 
 980: 140 124 126 131 125 117 115 102  SP        SD: 0.2536 c. M:-0.3755 c. 
 1015: 145 128 131 136 129 121 119 106  SP        SD: 0.2494 c. M: 0.4601 c. 
 1028: 147 130 132 138 131 122 121 107  SP        SD: 0.2456 c. M:-0.4708 c. 
 1055: 151 133 136 141 135 125 124 110  SP        SD: 0.2274 c. M:-0.5185 c. 
 1096: 157 138 141 147 140 130 129 114  SP        SD: 0.2227 c. M:-0.4562 c. 
 1104: 158 139 142 148 141 131 130 115  SP        SD: 0.2496 c. M: 0.5254 c. 
 1133: 162 143 146 152 144 135 133 118  SP        SD: 0.1959 c. M:-0.4881 c. 
 1141: 163 144 147 153 145 136 134 119  SP        SD: 0.2172 c. M: 0.3918 c. 
 1145: 164 144 148 153 146 136 135 119  SP        SD: 0.2003 c. M:-0.3336 c. 
 1181: 169 149 152 158 151 140 139 123  SP        SD: 0.1858 c. M:-0.3700 c. 
 1201: 172 151 155 161 153 143 141 125  SP        SD: 0.1856 c. M:-0.2673 c. 
 1209: 173 152 156 162 154 144 142 126  SP        SD: 0.1938 c. M: 0.4301 c. 
 1259: 180 159 162 169 160 150 148 131  SP        SD: 0.1868 c. M:-0.4218 c. 
 1271: 182 160 164 170 162 151 150 132  SP        SD: 0.1826 c. M:-0.3564 c. 
 1286: 184 162 166 172 164 153 151 134  SP        SD: 0.0922 c. M:-0.1649 c. 
 1412: 202 178 182 189 180 168 166 147  SP        SD: 0.0000 c. M:-0.0000 c. 
FIT/HARMONIC
 1 x x x x x x 2 x  S SD: 65.0000 cents
 2 x x x 3 x x 4:5  S SD: 64.1315 cents
 3 x x 4 x 5 x 6:7  S SD: 29.0490 cents
 4 x 5 x 6:7 x 8:9  S SD: 18.0738 cents
 5 x 6:7:8 x 9:10:11  S SD: 24.4680 cents
 6:7 x 8:9:10:11:12:14  S SD: 21.4661 cents
 7:8:9:10:11:12:13:15:16    SD: 13.7144 cents
 8:9:10:11:12:14:15:17:18    SD: 9.4958 cents
 11:12:14:15:17:19:21:23:25    SD: 9.3196 cents
 13:15:16:18:20:22:25:27:29    SD: 8.4535 cents
 15:17:19:21:23:26:28:31:34    SD: 6.2430 cents
 16:18:20:22:25:27:30:33:36    SD: 4.9612 cents
 24:27:30:33:37:41:45:50:54    SD: 2.4627 cents
 41:46:51:57:63:70:77:85:93    SD: 2.0411 cents
 42:47:52:58:65:72:79:87:95    SD: 1.9569 cents
 49:55:61:68:76:84:92:102:111    SD: 1.8434 cents
 57:64:71:79:88:98:108:118:129    SD: 1.5347 cents
 65:73:81:90:100:111:123:135:147    SD: 1.1130 cents
 73:82:91:101:113:125:138:152:165    SD: 1.0203 cents
 81:91:101:112:125:139:153:168:183    SD: 0.6840 cents
 114:128:142:158:176:195:215:237:258    SD: 0.6080 cents
 122:137:152:169:188:209:230:253:276    SD: 0.5857 cents
 138:155:172:191:213:236:260:287:312    SD: 0.5612 cents
 146:164:182:202:225:250:275:303:330    SD: 0.5179 cents
 170:191:212:235:262:291:321:353:384    SD: 0.4983 cents
 184:207:229:255:284:315:347:382:416    SD: 0.4810 cents
 188:211:234:260:290:322:355:390:425    SD: 0.4383 cents
 195:219:243:270:301:334:368:405:441    SD: 0.2964 cents
 219:246:273:303:338:375:413:455:495    SD: 0.2666 cents
 274:308:341:379:423:469:517:569:619    SD: 0.2539 cents
 289:325:360:400:446:495:545:600:653    SD: 0.2472 cents
 326:366:406:451:503:558:615:677:737    SD: 0.2185 cents
 354:398:441:490:546:606:668:735:800    SD: 0.2067 cents
 379:426:472:524:585:649:715:787:857    SD: 0.1795 cents
 396:445:493:548:611:678:747:822:895    SD: 0.1415 cents
 469:527:584:649:724:803:885:974:1060    SD: 0.1228 cents
 574:645:715:794:886:983:1083:1192:1298    SD: 0.1216 cents
 591:664:736:818:912:1012:1115:1227:1336    SD: 0.1135 cents