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==5ED5/4 as tertiaseptal generator==
==5ED5/4 as a generator==
===Tertiaseptal===
Aside from 2100875/2097152, tertiaseptal temperament tempers out 2401/2400, 65625/65536, and 703125/702464 in the 7-limit. It can be described as the 31&171 temperament, and the step interval of 5ED5/4 (tuned between 256/245 and 68/65) can serve as its generator. In the 17-limit, it tempers out 243/242, 375/374, 441/440, 625/624, and 3584/3575.
Aside from 2100875/2097152, tertiaseptal temperament tempers out 2401/2400, 65625/65536, and 703125/702464 in the 7-limit. It can be described as the 31&171 temperament, and the step interval of 5ED5/4 (tuned between 256/245 and 68/65) can serve as its generator. In the 17-limit, it tempers out 243/242, 375/374, 441/440, 625/624, and 3584/3575.


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|-
|-
! | generator
! | generator
! | cents value <sup>a</sup>
! | cents value <sup>a</sup><br>(octave-reduced)
! | ratio<br>(octave-reduced)
! | 17-limit ratio<br>(octave-reduced)
|-
|-
| | 1
| | 1
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| | 2
| | 2
| | 154.4
| | 154.4
| |  
| | [[35/32]]
|-
|-
| | 3
| | 3
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| | 11
| | 11
| | 849.2
| | 849.2
| | [[18/11]]
| | 44/27, [[18/11]]
|-
|-
| | 12
| | 12
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| | 15
| | 15
| | 1158.0
| | 1158.0
| |  
| | 39/20
|-
|-
| | 16
| | 16
| | 35.2
| | 35.2
| |  
| | 55/54, 52/51, 51/50, [[50/49]], [[49/48]], [[45/44]]
|-
|-
| | 17
| | 17
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| | 18
| | 18
| | 189.6
| | 189.6
| |  
| | 39/35
|-
|-
| | 19
| | 19
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| | 20
| | 20
| | 344.0
| | 344.0
| |  
| | 39/32
|-
|-
| | 21
| | 21
| | 421.2
| | 421.2
| |  
| | [[51/40]]
|-
|-
| | 22
| | 22
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| | 23
| | 23
| | 575.6
| | 575.6
| |  
| | 39/28
|-
|-
| | 24
| | 24
| | 652.8
| | 652.8
| |  
| | [[35/24]]
|-
|-
| | 25
| | 25
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| | 26
| | 26
| | 807.2
| | 807.2
| |  
| | 51/32
|-
|-
| | 27
| | 27
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| | 28
| | 28
| | 961.6
| | 961.6
| |  
| | 68/39
|-
|-
| | 29
| | 29
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| | 39
| | 39
| | 610.9
| | 610.9
| |  
| | [[64/45]]
|-
|-
| | 40
| | 40
| | 688.1
| | 688.1
| |  
| | 52/35
|-
|-
| | 41
| | 41
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| | 46
| | 46
| | 1151.3
| | 1151.3
| |  
| | 68/35, [[35/18]]
|-
|-
| | 47
| | 47
| | 28.5
| | 28.5
| |  
| | [[65/64]], [[64/63]], [[56/55]]
|-
|-
| | 48
| | 48
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| | 50
| | 50
| | 260.1
| | 260.1
| |  
| | [[64/55]]
|-
|-
| | 51
| | 51
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| | 57
| | 57
| | 800.5
| | 800.5
| |  
| | 35/22
|-
|-
| | 58
| | 58
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| | 63
| | 63
| | 63.7
| | 63.7
| |  
| | [[28/27]]
|-
|-
| | 64
| | 64
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| | 66
| | 66
| | 295.3
| | 295.3
| |  
| | [[32/27]]
|-
|-
| | 67
| | 67
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| | 68
| | 68
| | 449.7
| | 449.7
| |  
| | [[35/27]]
|-
|-
| | 69
| | 69
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| | 71
| | 71
| | 681.3
| | 681.3
| |  
| | [[40/27]]
|-
|-
| | 72
| | 72
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| | 74
| | 74
| | 912.9
| | 912.9
| |  
| | 56/33
|-
|-
| | 75
| | 75
| | 990.1
| | 990.1
| |  
| | 39/22
|-
|-
| | 76
| | 76
| | 1067.3
| | 1067.3
| |  
| | 50/27
|-
|-
| | 77
| | 77
| | 1144.5
| | 1144.5
| |  
| | 64/33
|-
|-
| | 78
| | 78
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| | 79
| | 79
| | 98.9
| | 98.9
| |  
| | 35/33
|-
|-
| | 80
| | 80
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| | 81
| | 81
| | 253.3
| | 253.3
| |  
| | 52/45
|-
|-
| | 82
| | 82
| | 330.5
| | 330.5
| |  
| | 40/33
|-
|-
| | 83
| | 83
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| | 87
| | 87
| | 716.5
| | 716.5
| |  
| | 68/45, 50/33
|-
|-
| | 88
| | 88
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| | 751.7
| | 751.7
| | [[17/11]]
| | [[17/11]]
|-
| | 104
| | 828.9
| |
|-
| | 105
| | 906.1
| |
|-
| | 106
| | 983.3
| |
|-
| | 107
| | 1060.5
| |
|-
| | 108
| | 1137.8
| | 52/27
|-
| | 109
| | 15.0
| |
|-
| | 110
| | 92.2
| |
|-
| | 111
| | 169.4
| |
|-
| | 112
| | 246.6
| |
|-
| | 113
| | 323.8
| |
|-
| | 114
| | 401.0
| | 34/27
|-
| | 115
| | 478.2
| |
|-
| | 116
| | 555.4
| |
|-
| | 117
| | 632.6
| |
|-
| | 118
| | 709.8
| |
|-
| | 119
| | 787.0
| | 52/33
|-
| | 120
| | 864.2
| |
|-
| | 121
| | 941.4
| |
|-
| | 122
| | 1018.6
| |
|-
| | 123
| | 1095.8
| |
|-
| | 124
| | 1173.0
| | 65/33
|-
| | 125
| | 50.2
| | 34/33
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<sup>a</sup> in 17-limit POTE tuning
<sup>a</sup> in 17-limit POTE tuning
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