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Ranking Intervals by (A+B) / AB: Analysis of Consonance and Harmonic Entropy Graphs
1.
Ranking Intervals by (A+B) / AB: Analysis of Consonance and Harmonic Entropy Graphs
1
Recommend
Roshan Kakiya
Posted 01-06-2020 10:16
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view attached
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Ranking Intervals by (A+B) / AB: Analysis of Consonance and Harmonic Entropy Graphs
Compare the rankings below with the following graph on Consonance
Source:
http://www.huygens-fokker.org/bpsite/consonance.html
Rank
Ratio (A/B)
A
B
(A+B) / AB
1
1/1
1
1
2.000
2
2/1
2
1
1.500
3
3/1
3
1
1.333
4
3/2
3
2
0.833
5
5/2
5
2
0.700
6
4/3
4
3
0.583
7
5/3
5
3
0.533
8
7/3
7
3
0.476
9
8/3
8
3
0.458
10
5/4
5
4
0.450
11
7/4
7
4
0.393
12
6/5
6
5
0.367
13
9/4
9
4
0.361
14
7/5
7
5
0.343
15
11/4
11
4
0.341
16
8/5
8
5
0.325
17
9/5
9
5
0.311
18
7/6
7
6
0.310
19
11/5
11
5
0.291
20
9/7
9
7
0.254
Compare the rankings below with the following graph on Harmonic Entropy
Source:
http://tonalsoft.com/enc/h/harmonic-entropy.aspx
Rank
Ratio (A/B)
A
B
(A+B) / AB
1
1/1
1
1
2.000
2
2/1
2
1
1.500
3
3/1
3
1
1.333
4
4/1
4
1
1.250
5
3/2
3
2
0.833
6
5/2
5
2
0.700
7
7/2
7
2
0.643
8
4/3
4
3
0.583
9
5/3
5
3
0.533
10
7/3
7
3
0.476
11
8/3
8
3
0.458
12
5/4
5
4
0.450
13
10/3
10
3
0.433
14
11/3
11
3
0.424
15
7/4
7
4
0.393
16
6/5
6
5
0.367
17
9/4
9
4
0.361
18
7/5
7
5
0.343
19
11/4
11
4
0.341
20
13/4
13
4
0.327
21
8/5
8
5
0.325
22
15/4
15
4
0.317
23
9/5
9
5
0.311
24
7/6
7
6
0.310
25
11/5
11
5
0.291
26
12/5
12
5
0.283
27
13/5
13
5
0.277
28
14/5
14
5
0.271
29
8/7
8
7
0.268
30
11/6
11
6
0.258
31
9/7
9
7
0.254
32
10/7
10
7
0.243
------------------------------
Roshan Kakiya
------------------------------
Attachment(s)
Ranking Intervals by (A+B) ÷ AB - Analysis of Consonance ...xlsx
13 KB
1 version
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