Quantum Arithmetic & Music Scales

[DaleSVP]

hi, some preliminary music calculations from over the weekend. still need to do some more scale programming on the beta version of FTS 3...

my first impressions, is that the keynotes are too low for modern human hearing. hence the 9 note scale i'll experiment with next...

however, it's a bit all speculative since we don't really know what the lemurians could hear or what they did to manipulate the 'overtones' of the individual notes !!!

needless to say fourier fast transforms are too simplistic and bessel functions would be a bit more realistic, but take to long to bother with so i'll try and stick with the music ratio math...

later i can use the function generator and some tables to refine the keynote math and perhaps calculate the 72 (not 49) pitch array (not including duplicates) etc..........

light & love
buzzy^
novosonic@hotmail.com

[DaleSVP]

Here is a scale buzz kimball sent in. Thanks Buzz! Enjoy!

http://www.svpvril.com/forum_images/MoO-3demo.mp3

[buzz kimball]

suspect that this might be more confusing than helpful, as this list of intervals doesn't show the relationship between tones, neither clearly nor simply. Nor does it show the large number of western diatonic scales, indian ragas, and mid east marquams that exist implicitly in the structure of the pitches.


Lambdoma - Quadrant starting at 7 / 1
0: 1/1 0.000 unison, perfect prime
1: 7/4 968.826 harmonic seventh
2: 2/1 1200.000 octave
3: 7/3 1466.871 minimal tenth,
4: 14/5 1782.512 septimal or Huygens' tritone,
5: 7/2 2168.826 harmonic 14th
6: 14/3 2666.871 minimal 17th
7: 7/1 3368.826 harmonic 21st
8: 14/1 4568.826 harmonic 28th
9: 13/8 840.528 tridecimal neutral sixth
10: 13/7 1071.702 16/3-tone
11: 13/6 1338.573 tridecimal 2/3-tone + 1 octave
12: 13/5 1654.214 tridecimal diminished fourth + 1 oct
13: 13/4 2040.528 tridecimal neutral sixth + 1 oct
14: 13/3 2538.573 tridecimal 2/3-tone + 2 octaves
15: 13/2 3240.528 tridecimal neutral sixth + 2 oct
16: 13/1 4440.528 tridecimal neutral sixth + 3 oct
17: 3/2 701.955 perfect fifth
18: 12/7 933.129 septimal major sixth
19: 2/1 1200.000 octave
20: 12/5 1515.641 minor 10th
21: 3/1 1901.955 perfect 12th
22: 4/1 2400.000 2 octaves
23: 6/1 3101.955 perfect 19th
24: 12/1 4301.955 perfect 26th
25: 11/8 551.318 undecimalaugmented fourth
26: 11/7 782.492 undecimal augmented fifth
27: 11/6 1049.363 21/4-tone, neutral seventh
28: 11/5 1365.004 neutral ninth
29: 11/4 1751.318 l augmented fourth + 1 octave
30: 11/3 2249.363 21/4-tone,l neutral seventh + 1 oct
31: 11/2 2951.318 semi-augmented fourth + 2 oct
32: 11/1 4151.318 semi-augmented fourth + 3 oct
33: 5/4 386.314 major third
34: 10/7 617.488 Euler's tritone
35: 5/3 884.359 major sixth,
36: 2/1 1200.000 octave
37: 5/2 1586.314 major 10th
38: 10/3 2084.359 major 13th
39: 5/1 2786.314 major 17th
40: 10/1 3986.314 major 24th
41: 9/8 203.910 major whole tone
42: 9/7 435.084 septimal major third,
43: 3/2 701.955 perfect fifth
44: 9/5 1017.596 just minor seventh,
45: 9/4 1403.910 major ninth
46: 3/1 1901.955 perfect 12th
47: 9/2 2603.910 perfect 16th
48: 9/1 3803.910 perfect 23rd
49: 1/1 0.000 unison, perfect prime
50: 8/7 231.174 septimal whole tone
51: 4/3 498.045 perfect fourth
52: 8/5 813.686 minor sixth
53: 2/1 1200.000 octave
54: 8/3 1698.045 perfect 11th
55: 4/1 2400.000 2 octaves
56: 8/1 3600.000 3 octaves
57: 7/8 -231.174 septimal whole tone
58: 1/1 0.000 unison, perfect prime
59: 7/6 266.871 septimal minor third
60: 7/5 582.512 septimal or Huygens' tritone,
61: 7/4 968.826 harmonic seventh
62: 7/3 1466.871 minimal tenth,
63: 7/2 2168.826 harmonic 14th
64: 7/1 3368.826 harmonic 21st

[buzz kimball]

here is a frequency table for a 1-7 subharmonic lambdoma scale with a keynote frequency of 261 which is a bit higher than the theoretical ones. however, it will have to do for now. mostly, it's show the MoO scale relationships in frequencies, as that may help others see patterns.

i'm not sure that i will ever really understand this scale !!!


0: 261.6256 Hertz
1: 457.8447 Hertz
2: 523.2511 Hertz
3: 610.4597 Hertz
4: 732.5516 Hertz
5: 915.6895 Hertz
6: 1220.9193 Hertz
7: 1831.3790 Hertz
8: 3662.7579 Hertz
9: 425.1415 Hertz
10: 485.8760 Hertz
11: 566.8554 Hertz
12: 680.2265 Hertz
13: 850.2831 Hertz
14: 1133.7108 Hertz
15: 1700.5662 Hertz
16: 3401.1323 Hertz
17: 392.4383 Hertz
18: 448.5010 Hertz
19: 523.2511 Hertz
20: 627.9014 Hertz
21: 784.8767 Hertz
22: 1046.5023 Hertz
23: 1569.7534 Hertz
24: 3139.5068 Hertz
25: 359.7352 Hertz
26: 411.1259 Hertz
27: 479.6469 Hertz
28: 575.5762 Hertz
29: 719.4703 Hertz
30: 959.2937 Hertz
31: 1438.9406 Hertz
32: 2877.8812 Hertz
33: 327.0320 Hertz
34: 373.7508 Hertz
35: 436.0426 Hertz
36: 523.2511 Hertz
37: 654.0639 Hertz
38: 872.0852 Hertz
39: 1308.1278 Hertz
40: 2616.2557 Hertz
41: 294.3288 Hertz
42: 336.3757 Hertz
43: 392.4383 Hertz
44: 470.9260 Hertz
45: 588.6575 Hertz
46: 784.8767 Hertz
47: 1177.3150 Hertz
48: 2354.6301 Hertz
49: 261.6256 Hertz
50: 299.0006 Hertz
51: 348.8341 Hertz
52: 418.6009 Hertz
53: 523.2511 Hertz
54: 697.6682 Hertz
55: 1046.5023 Hertz
56: 2093.0045 Hertz
57: 228.9224 Hertz
58: 261.6256 Hertz
59: 305.2298 Hertz
60: 366.2758 Hertz
61: 457.8447 Hertz
62: 610.4597 Hertz
63: 915.6895 Hertz
64: 1831.3790 Hertz