p = wanted number of intervals in the octave
x = coarse setting = Morph 1
y = fine setting = Morph 2
Ct = 2.x + (2/127)*y = Cents per interval, calculated based upon
knob settings.
Pw = 1200 / Ct = calculated number intervals per octave (based
upon knob settings)
Qn = quantazation amount for a range of n oktaves = setting for
the note quantizer
Wanted Ct is the wanted cents per interval, Ct is the calculated value. The wanted Ct is calculated as 1200 / n, where n is the number of intervals in the octave, 1200 is used because there are 1200 cents in an octave.
The differences between the Pw and p colums give an indication of the mistuning. You can also compare the colums Ct and Wanted Ct, for an ideal system the values in these columns should be equal.
Please note that I did calculate all the values by hand - then I
copied them - by hand again, there could be a few miscalculations and typo's.
p | x | y | Ct | Pw | wanted Ct | Q1 | Q2 | Q3 | Q4 |
5 | 120 | 0 | 240 | 5 | 240 | 2.5 | 5 | 7.5 | 10 |
6 | 100 | 0 | 200 | 6 | 200 | 3 | 6 | 9 | 12 |
7 | 85 | 91 | 171.43 | 6.9998163 | 171.43 | 3.5 | 7 | 10.5 | 14 |
8 | 75 | 0 | 150 | 8 | 150 | 4 | 8 | 12 | 16 |
9 | 66 | 84 | 133,323 | 9.0007087 | 133.33 | 4.5 | 9 | 13.5 | 18 |
10 | 60 | 0 | 120 | 10 | 120 | 5 | 10 | 15 | 20 |
11 | 54 | 67 | 109.055 | 11.001194 | 109.09 | 5.5 | 11 | 16.5 | 22 |
12 | 50 | 0 | 100 | 12 | 100 | 6 | 12 | 18 | 24 |
13 | 46 | 19 | 92.30 | 13.001194 | 92.31 | 6.5 | 13 | 19.5 | 26 |
14 | 42 | 109 | 85.72 | 13.999633 | 85.71 | 7 | 14 | 21 | 28 |
15 | 40 | 0 | 80 | 15 | 80 | 7.5 | 15 | 22.5 | 30 |
16 | 37 | 63 | 74.99 | 16.00168 | 75 | 8 | 16 | 24 | 32 |
17 | 35 | 37 | 70.58 | 17.001339 | 70.59 | 8.5 | 17 | 25.5 | 34 |
18 | 33 | 42 | 66.66 | 18.001417 | 66.67 | 9 | 18 | 27 | 36 |
19 | 31 | 74 | 63.17 | 18.997756 | 63.16 | 9.5 | 19 | 28.5 | 38 |
20 | 30 | 0 | 60 | 20 | 60 | 10 | 20 | 30 | 40 |
21 | 28 | 72 | 57.13 | 21.003308 | 57.14 | 10.5 | 21 | 31.5 | 42 |
22 | 27 | 34 | 54.54 | 22.004043 | 54.54 | 11 | 22 | 33 | 44 |
23 | 26 | 11 | 52.17 | 23.000302 | 52.17 | 11.5 | 23 | 34.5 | 46 |
24 | 25 | 0 | 50 | 24 | 50 | 12 | 24 | 36 | 48 |
25 | 24 | 0 | 48 | 25 | 48 | 12.5 | 25 | 37.5 | 50 |
26 | 23 | 10 | 46.16 | 25.997953 | 46.15 | 13 | 26 | 39 | 52 |
27 | 22 | 28 | 44.44 | 27.002126 | 44.44 | 13.5 | 27 | 40.5 | 54 |
28 | 21 | 55 | 42.87 | 27.994122 | 42.86 | 14 | 28 | 42 | 56 |
29 | 20 | 88 | 41.39 | 28.995434 | 41.38 | 14.5 | 29 | 43.5 | 58 |
30 | 20 | 0 | 40 | 30 | 40 | 15 | 30 | 45 | 60 |
31 | 19 | 44 | 38.69 | 31.013431 | 38.71 | 15.5 | 31 | 46.5 | 62 |