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Divides the seventh harmonics into 49 equal steps. It is similar to every second step of [[35edo|35edo]].
'''49ED7''' is the [[Ed7|equal division of the 7th harmonic]] into 49 parts of 68.7515 [[cent|cents]] each. It is similar to every second step of [[35edo]].


49
{| class="wikitable"
 
|-
!
! | degree
 
! | cents value
68.75155
! | corresponding <br>JI intervals
 
! | comments
137.50310
|-
 
| | 0
206.25465
| | 0.0000
 
| | '''exact [[1/1]]'''
275.00620
| |
 
|-
343.75775
| | 1
 
| | 68.75155
412.50929
| | [[26/25]] ~ [[25/24]]
 
| |
481.26084
|-
 
| | 2
550.01239
| | 137.50310
 
| | [[13/12]]
618.76394
| |
 
|-
687.51549
| | 3
 
| | 206.25465
756.26704
| | [[9/8]]
 
| |
825.01859
|-
 
| | 4
893.77014
| | 275.00620
 
| | 27/23
962.52169
| |
 
|-
1031.27324
| | 5
 
| | 343.75775
1100.02479
| | 39/32
 
| |
1168.77633
|-
 
| | 6
1237.52788
| | 412.50929
 
| |
1306.27943
| |
 
|-
1375.03098
| | 7
 
| | 481.26084
1443.78253
| |
 
| |
1512.53408
|-
 
| | 8
1581.28563
| | 550.01239
 
| | [[11/8]]
1650.03718
| |
 
|-
1718.78873
| | 9
 
| | 618.76394
1787.54028
| | [[10/7]]
 
| |
1856.29183
|-
 
| | 10
1925.04338
| | 687.51549
 
| |
1993.79492
| |
 
|-
2062.54647
| | 11
 
| | 756.26704
2131.29802
| |
 
| |
2200.04957
|-
 
| | 12
2268.80112
| | 825.01859
 
| |
2337.55267
| |
 
|-
2406.30422
| | 13
 
| | 893.77014
2475.05577
| |
 
| |
2543.80732
|-
 
| | 14
2612.55887
| | 962.52169
 
| |
2681.31042
| |
 
|-
2750.06196
| | 15
 
| | 1031.27324
2818.81351
| | 49/27
 
| |
2887.56506
|-
 
| | 16
2956.31661
| | 1100.02479
 
| | [[17/9]]
3025.06816
| |
 
|-
3093.81971
| | 17
 
| | 1168.77633
3162.57126
| | 100/51 ~ 51/26 ~ 108/55 ~ 55/28 ~ 112/57
 
| |
3231.32281
|-
 
| | 18
3300.07436
| | 1237.52788
 
| | [[50/49|100/49]] ~ [[49/48|49/24]] ~ [[45/44|45/22]]
7/1
| |
|-
| | 19
| | 1306.27943
| | [[17/16|17/8]]
| |
|-
| | 20
| | 1375.03098
| |
| |
|-
| | 21
| | 1443.78253
| | 23/10
| |
|-
| | 22
| | 1512.53408
| | [[12/5]]
| |
|-
| | 23
| | 1581.28563
| |
| |
|-
| | 24
| | 1650.03718
| | 70/27
| |
|-
| | 25
| | 1718.78873
| | [[27/20|27/10]]
| |
|-
| | 26
| | 1787.54028
| |
| |
|-
| | 27
| | 1856.29183
| |
| |
|-
| | 28
| | 1925.04338
| |
| |
|-
| | 29
| | 1993.79492
| | [[30/19|60/19]]
| |
|-
| | 30
| | 2062.54647
| | 23/7
| |
|-
| | 31
| | 2131.29802
| | [[12/7|24/7]]
| |
|-
| | 32
| | 2200.04957
| | 57/16
| |
|-
| | 33
| | 2268.80112
| |
| |
|-
| | 34
| | 2337.55267
| | 27/7
| |
|-
| | 35
| | 2406.30422
| |
| |
|-
| | 36
| | 2475.05577
| | 96/23 ~ 46/11
| |
|-
| | 37
| | 2543.80732
| | 100/23
| |
|-
| | 38
| | 2612.55887
| | 104/23
| |
|-
| | 39
| | 2681.31042
| |
| |
|-
| | 40
| | 2750.06196
| | [[49/40|49/10]]
| |
|-
| | 41
| | 2818.81351
| | [[14/11|56/11]]
| |
|-
| | 42
| | 2887.56506
| |
| |
|-
| | 43
| | 2956.31661
| |
| |
|-
| | 44
| | 3025.06816
| |
| |
|-
| | 45
| | 3093.81971
| |
| |
|-
| | 46
| | 3162.57126
| | [[14/9|56/9]]
| |
|-
| | 47
| | 3231.32281
| | [[21/13|84/13]]
| |
|-
| | 48
| | 3300.07436
| | [[42/25|168/25]] ~ 175/26
| |
|-
| | 49
| | 3368.82591
| | '''exact [[7/1]]'''
| | [[7/4|harmonic seventh]] plus two octaves
|}


== Music ==
== Music ==
Line 107: Line 263:


[[Category:Ed7]]
[[Category:Ed7]]
[[Category:Edonoi]]
[[Category:Listening]]
[[Category:Listening]]

Revision as of 14:30, 9 January 2019

49ED7 is the equal division of the 7th harmonic into 49 parts of 68.7515 cents each. It is similar to every second step of 35edo.

degree cents value corresponding
JI intervals 		comments
0 0.0000 exact 1/1
1 68.75155 26/25 ~ 25/24
2 137.50310 13/12
3 206.25465 9/8
4 275.00620 27/23
5 343.75775 39/32
6 412.50929
7 481.26084
8 550.01239 11/8
9 618.76394 10/7
10 687.51549
11 756.26704
12 825.01859
13 893.77014
14 962.52169
15 1031.27324 49/27
16 1100.02479 17/9
17 1168.77633 100/51 ~ 51/26 ~ 108/55 ~ 55/28 ~ 112/57
18 1237.52788 100/49 ~ 49/24 ~ 45/22
19 1306.27943 17/8
20 1375.03098
21 1443.78253 23/10
22 1512.53408 12/5
23 1581.28563
24 1650.03718 70/27
25 1718.78873 27/10
26 1787.54028
27 1856.29183
28 1925.04338
29 1993.79492 60/19
30 2062.54647 23/7
31 2131.29802 24/7
32 2200.04957 57/16
33 2268.80112
34 2337.55267 27/7
35 2406.30422
36 2475.05577 96/23 ~ 46/11
37 2543.80732 100/23
38 2612.55887 104/23
39 2681.31042
40 2750.06196 49/10
41 2818.81351 56/11
42 2887.56506
43 2956.31661
44 3025.06816
45 3093.81971
46 3162.57126 56/9
47 3231.32281 84/13
48 3300.07436 168/25 ~ 175/26
49 3368.82591 exact 7/1 harmonic seventh plus two octaves

Music

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