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{{Harmonics in equal|39|3|1|intervals=prime}}
{{Harmonics in equal|39|3|1|intervals=prime}}


==Intervals==
== Intervals ==
{| class="wikitable"
{| class="wikitable center-all right-2 right-3"
|-
|-
! |Degree
! Steps
! | Cents
! [[Cent]]s
! |Cents<br>([[octave reduction|octave-reduced]])
! [[Hekt]]s
! |Hekts
! [[4L 5s (3/1-equivalent)|Enneatonic]] degree
! |Degree of [[Bohlen-Pierce|BP]]
! Corresponding
! |Comments
3.5.7.11.13 subgroup <br>
intervals
! [[Lambda ups and downs notation|Lambda]]  
(sLsLsLsLs, <br>
J = 1/1)
! Mintaka[7]
(E macro-Phrygian)
|-
|-
| | 0
| 0
| |0
| 0
| |
| 0
| |0
| P1
| | 0
| [[1/1]]
| |1/1
| J
| E
|-
|-
| |1
| 1
| | 48.768
| 48.8
| |
| 33.3
|33.333
| SP1
| |
| [[77/75]] (+3.2c); [[65/63]] (-5.3c)
| |39th root of 3
| ^J
| ^E, vF
|-
|-
| |2
| 2
| |97.536
| 97.5
| |
| 66.7
|66.667
| sA1/sm2
| |
| [[35/33]] (-4.3c); [[81/77]] (+9.9c)
| |
| vK
| F
|-
|-
| |3
| 3
| |146.304
| 146.3
| |
| 100
|100
| A1/m2
| |1
| [[49/45]] (-1.1c); [[27/25]] (+13.1c)
| |13th root of 3
| K
| ^F, vGb
|-
|-
| | 4
| 4
| |195.072
| 195.1
| |
| 133.3
|133.333
| SA1/Sm2
| |
| [[55/49]] (-4.9c); [[39/35]] (+7.7c)
| |
| ^K
| Gb, vE#
|-
|-
| | 5
| 5
| |243.840
| 243.8
| |
| 166.7
|166.667
| sM2/sd3
| |
| [[15/13]] (-3.9c); [[63/55]] (+8.7c)
| |
| vK#, vLb
| ^Gb, E#
|-
|-
| |6
| 6
| | 292.608
| 292.6
| |
| 200
|200
| M2/d3
| |2
| [[13/11]] (+3.4c); [[25/21]] (-9.2c)
| |
| K#, Lb
| vF#, ^E#
|-
|-
| |7
| 7
| | 341.377
| 341.4
| |
| 233.3
|233.333
| SM2/Sd3
| |
| [[11/9]] (-6.0c)
| |
| ^K#, ^Lb
| F#
|-
|-
| |8
| 8
| |390.145
| 390.1
| |
| 266.7
|266.667
| sA2/sP3/sd4
| |
| [[49/39]] (-5.0c); [[81/65]] (+9.2c)
| |
| vL
| ^F#, vG
|-
|-
| | 9
| 9
| |438.913
| 438.9
| |
| 300
| 300
| |3
| A2/P3/d4
| |
| [[9/7]] (+3.8c), [[35/27]] (-10.3c)
| L
| G
|-
|-
| |10
| 10
| | 487.681
| 487.7
| |
| 333.3
|333.333
| SA2/SP3/Sd4
| |
| [[65/49]] (-1.5c), [[33/25]] (+7.0c)
| |
| ^L
| ^G, vAb
|-
|-
| | 11
| 11
| |536.449
| 536.4
| |
| 366.7
| 366.667
| sA3/sm4/sd5
| |
| [[15/11]] (-0.5c)
| |
| vM
| Ab
|-
|-
| |12
| 12
| |585.217
| 585.2
| |
| 400
| 400
| |4
| A3/m4/d5
| |
| [[7/5]] (+2.7c)
| M
| ^Ab, Fx
|-
|-
| |13
| 13
| | 633.985
| 634.0
| |
| 433.3
|433.333
| SA3/Sm4/Sd5
| |
| [[13/9]] (-2.6c)
| |cube root of 3
| ^M
| vG#
|-
|-
| |14
| 14
| |682.753
| 682.7
| |
| 466.7
|466.667
| sM4/sm5
| |
| [[49/33]] (-1.6c), [[81/55]] (+12.6c)
| |
| vM#, vNb
| G#
|-
|-
| |15
| 15
| |731.521
| 731.5
| |
| 500
|500
| M4/m5
| |5
| [[75/49]] (-5.4c), [[117/77]] (+7.2c)
| |  
| M#, Nb
| ^G#, vA
|-
|-
| | 16
| 16
| |780.289
| 780.3
| |
| 533.3
| 533.333
| SM4/Sm5
| |
| [[11/7]] (-2.2c), [[39/25]] (+10.4c)
| |
| ^M#, ^Nb
| A
|-
|-
| | 17
| 17
| |829.057
| 829.0
| |
| 566.7
|566.667
| sA4/sM5
| |
| [[21/13]] (-1.2c)
| |
| vN
| ^A, vBb
|-
|-
| | 18
| 18
| | 877.825
| 877.8
| |
| 600
|600
| A4/M5
| |6
| [[5/3]] (-6.5c), [[81/49]] (+9.5c)
| |
| N
| Bb
|-
|-
| | 19
| 19
| |926.593
| 926.6
| |  
| 633.3
|633.333
| SA4/SM5
| |
| [[77/45]] (-3.3c)
| |
| ^N
| ^Bb, vCb, Gx
|-
|-
| | 20
| 20
| |975.362
| 975.3
| |  
| 666.7
|666.667
| sA5/sm6/sd7
| |
| [[135/77]] (+3.3c)
| |
| vO
| vA#, Cb
|-
|-
| |21
| 21
| |1024.13
| 1024.1
| |
| 700
|700
| A5/m6/d7
| |7
| [[9/5]] (+6.5c), [[49/27]] (-9.5c)
| |
| O
| A#, ^Cb
|-
|-
| | 22
| 22
| |1072.898
| 1072.9
| |
| 733.3
|733.333
| SA5/Sm6/Sd7
| |
| [[13/7]] (+1.2c)
| |
| ^O
| ^A#, vB
|-
|-
| | 23
| 23
| | 1121.666
| 1121.6
| |
| 766.7
|766.667
| sM6/sm7
| |
| [[21/11]] (+2.2c), [[25/13]] (-10.4c)
| |
| vO#, vPb
| B
|-
|-
| |24
| 24
| |1170.434
| 1170.4
| |
| 800
|800
| M6/m7
| |8
| [[49/25]] (+5.4c), [[77/39]] (-7.2c)
| |
| O#, Pb
| ^B, vC
|-
|-
| | 25
| 25
| | 1219.202
| 1219.2
| |19.202
| 833.3
|833.333
| SM6/Sm7
| |
| [[99/49]] (+1.6c), [[55/27]] (-12.6c)
| |
| ^O#, ^Pb
| C
|-
|-
| |26
| 26
| | 1267.97
| 1267.9
| |67.97
| 866.7
| 866.667
| sA6/sM7/sd8
| |
| [[27/13]] (+2.6c)
| |
| vP
| ^C, vDb
|-
|-
| |27
| 27
| |1316.738
| 1316.7
| |116.738
| 900
|900
| A6/M7/d8
| |9
| [[15/7]] (-2.7c)
| |
| P
| Db, vB#
|-
|-
| |28
| 28
| |1365.506
| 1365.5
| |165.506
| 933.3
|933.333
| SA6/SM7/Sd8
| |
| [[11/5]] (+0.5c)
| |
| ^P
| ^Db, B#
|-
|-
| |29
| 29
| |1414.274
| 1414.2
| | 214.274
| 966.7
|966.667
| sP8/sd9
| |
| [[147/65]] (+1.5c), [[25/11]] (-7.0c)
| |
| vQ
| vC#, ^B#
|-
|-
| |30
| 30
| |1463.042
| 1463.0
| |263.042
| 1000
|1000
| P8/d9
| |10
| [[7/3]] (-3.8c), [[81/35]] (+10.3c)
| |
| Q
| C#
|-
|-
| | 31
| 31
| |1511.81
| 1511.8
| |311.81
| 1033.3
| 1033.333
| SP8/Sd9
| |
| [[117/49]] (+5.0c); [[65/27]] (-9.2c)
| |
| ^Q
| ^C#, vD
|-
|-
| | 32
| 32
| |1560.578
| 1560.5
| |360.578
| 1066.7
|1066.667
| sA8/sm9
| |
| [[27/11]] (+6.0c)
| |
| vQ#, vRb
| D
|-
|-
| |33
| 33
| |1609.347
| 1609.3
| |409.347
| 1100
|1100
| A8/m9
| | 11
| [[33/13]] (-3.4c), [[63/25]] (+9.2c)
| |
| Q#, Rb
| ^D, vEb
|-
|-
| |34
| 34
| |1658.115
| 1658.1
| | 458.115
| 1133.3
|1133.333
| SA8/Sm9
| |
| [[13/5]] (+3.9c); [[55/21]] (-8.7c)
| |
| ^Q#, ^Rb
| Eb
|-
|-
| |35
| 35
| |1706.883
| 1706.9
| | 506.883
| 1166.7
|1166.667
| sM9/sd10
| |
| [[147/55]] (+4.9c); [[35/13]] (-7.7c)
| |
| vR
| ^Eb, vFb, Cx
|-
|-
| |36
| 36
| |1755.651
| 1755.7
| |555.651
| 1200
|1200
| M9/d10
| | 12
| [[135/49]] (+1.1c); [[25/9]] (-13.1c)
| |
| R
| vD#, Fb
|-
|-
| |37
| 37
| |1804.419
| 1804.5
| | 604.419
| 1233.3
|1233.333
| SM9/Sd10
| |
| [[99/35]] (+4.3c); [[77/27]] (-9.9c)
| |
| ^R
| D#, ^Fb, Dx
|-
|-
| |38
| 38
| |1853.187
| 1853.2
| | 653.187
| 1266.7
|1266.667
| sA9/sP10
| |
| [[225/77]] (-3.2c); [[189/65]] (+5.3c)
| |
| vJ
| ^D#
|-
|-
| |39
| 39
| |1901.955
| 1902.0
| |701.955
| 1300
|1300
| A9/P10
| | 13
| [[3/1]]
| | 3/1 (tritave)
| J
|-
| E
| | 40
| |1950.723
| |750.723
| 1333.333
| |
| |
|-
| |41
| |1999.491
| |799.491
|1366.667
| |
| |
|-
| | 42
| |2048.259
| | 848.259
| 1400
| |14
| |
|-
| |43
| |2097.027
| |897.027
| 1433.333
| |
| |
|-
| |44
| |2145.795
| | 945.795
|1466.667
| |
| |
|-
| |45
| |2194.563
| |994.563
|1500
| |15
| |
|-
| |46
| |2243.332
| |1043.332
|1533.333
| |
| |
|-
| |47
| |2292.100
| |1092.100
| 1566.667
| |
| |
|-
| |48
| |2340.868
| |1140.868
|1600
| |16
| |
|-
| |49
| |2389.636
| |1189.636
| 1633.333
| |
| |
|-
| | 50
| |2438.404
| | 38.404
|1666.667
| |
| |
|-
| |51
| | 2487.172
| |87.172
|1700
| |17
| |
|-
| | 52
| |2535.940
| | 135.940
|1733.333
| |
| |
|-
| | 53
| |2584.708
| | 184.708
|1766.667
| |
| |
|-
| |54
| |2633.476
| |233.476
|1800
| |18
| |
|-
| | 55
| |2682.244
| | 282.244
|1833.333
| |
| |
|-
| | 56
| |2731.012
| | 331.012
|1866.667
| |
| |
|-
| |57
| |2779.78
| |379.78
|1900
| |19
| |
|-
| | 58
| |2828.548
| |428.548
|1933.333
| |
| |
|-
| | 59
| |2877.317
| |477.317
|1966.667
| |
| |
|-
| |60
| |2926.085
| |526.085
|2000
| |20
| |
|-
| | 61
| |2974.853
| |574.853
|2033.333
| |
| |
|-
| | 62
| |3023.621
| |623.621
|2066.667
| |
| |
|-
| |63
| |3072.389
| |672.389
|2100
| |21
| |
|-
| | 64
| |3121.157
| |721.157
| 2133.333
| |
| |
|-
| |65
| |3169.925
| |769.925
|2166.667
| |
| |
|-
| | 66
| |3218.693
| | 818.693
| 2200
| |22
| |
|-
| |67
| |3267.461
| |867.461
|2233.333
| |
| |
|-
| |68
| |3316.229
| |916.229
|2266.667
| |
| |
|-
| |69
| | 3364.997
| |964.997
|2300
| |23
| |
|-
| |70
| |3413.765
| |1013.765
| 2333.333
| |
| |
|-
| | 71
| |3462.533
| | 1062.533
|2366.667
| |
| |
|-
| |72
| |3511.302
| |1111.302
|2400
| |24
| |
|-
| |73
| |3560.07
| |1160.07
|2433.333
| |
| |
|-
| |74
| |3608.838
| |8.838
|2466.667
| |
| |
|-
| |75
| |3657.606
| |57.606
|2500
| |25
| |
|-
| |76
| |3706.374
| |106.374
|2533.333
| |
| |
|-
| |77
| |3755.142
| |155.142
|2566.667
| |
| |
|-
| |78
| |3803.91
| |203.91
|2600
| |26
| |9/1
|}
|}
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