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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]]
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