Below are listed the dyadic chords of 11-limit meanpop temperament. Meanpop is one of the two extensions of septimal meantone, which itself is the main extension of 5-limit meantone; this is the temperament tempering out 81/80, 126/125 and 385/384. Typing the chords requires consideration of the fact that meanpop conflates 9/8 and 10/9; if a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/8 and 16/9.
Chords requiring tempering only by 81/80 are labeled didymic, by 126/125 starling, by 225/224 marvel, by 385/384 keenanismic and by 540/539 swetismic. Chords which require any two of 81/80, 126/125 or 225/224 are labeled erato, and any two of 225/224, 385/384 or 540/539 unimarv (undecimal marvel). A chord requiring both of 81/80 and 540/539 is labeled terpsichore, and a chord requiring any three independent commas from those discussed above is labeled meanpop.
Meanpop has MOS of size 5, 7, 12, 19, 31, 50 and 81. While 5-limit meantone has been thoroughly explored, the same is not true of meanpop. The 19 note MOS would seem to be a good place to start such explorations.
Triads
| Number
|
Chord
|
Transversal
|
Type
|
| 1
|
0-1-2
|
1-3/2-9/8
|
ambitonal
|
| 2
|
0-1-3
|
1-3/2-5/3
|
otonal
|
| 3
|
0-2-3
|
1-10/9-5/3
|
utonal
|
| 4
|
0-1-4
|
1-3/2-5/4
|
otonal
|
| 5
|
0-2-4
|
1-9/8-5/4
|
otonal
|
| 6
|
0-3-4
|
1-5/3-5/4
|
utonal
|
| 7
|
0-2-6
|
1-9/8-7/5
|
marvel
|
| 8
|
0-3-6
|
1-5/3-7/5
|
starling
|
| 9
|
0-4-6
|
1-5/4-7/5
|
marvel
|
| 10
|
0-2-8
|
1-10/9-14/9
|
otonal
|
| 11
|
0-4-8
|
1-5/4-14/9
|
marvel
|
| 12
|
0-6-8
|
1-7/5-14/9
|
utonal
|
| 13
|
0-1-9
|
1-3/2-7/6
|
otonal
|
| 14
|
0-3-9
|
1-5/3-7/6
|
otonal
|
| 15
|
0-6-9
|
1-7/5-7/6
|
utonal
|
| 16
|
0-8-9
|
1-14/9-7/6
|
utonal
|
| 17
|
0-1-10
|
1-3/2-7/4
|
otonal
|
| 18
|
0-2-10
|
1-9/8-7/4
|
otonal
|
| 19
|
0-4-10
|
1-5/4-7/4
|
otonal
|
| 20
|
0-6-10
|
1-7/5-7/4
|
utonal
|
| 21
|
0-8-10
|
1-14/9-7/4
|
utonal
|
| 22
|
0-9-10
|
1-7/6-7/4
|
utonal
|
| 23
|
0-3-13
|
1-5/3-16/11
|
keenanismic
|
| 24
|
0-4-13
|
1-5/4-16/11
|
keenanismic
|
| 25
|
0-9-13
|
1-7/6-16/11
|
keenanismic
|
| 26
|
0-10-13
|
1-7/4-16/11
|
keenanismic
|
| 27
|
0-1-14
|
1-3/2-12/11
|
utonal
|
| 28
|
0-4-14
|
1-5/4-12/11
|
keenanismic
|
| 29
|
0-6-14
|
1-7/5-12/11
|
swetismic
|
| 30
|
0-8-14
|
1-14/9-12/11
|
swetismic
|
| 31
|
0-10-14
|
1-7/4-12/11
|
keenanismic
|
| 32
|
0-13-14
|
1-16/11-12/11
|
otonal
|
| 33
|
0-1-15
|
1-3/2-18/11
|
utonal
|
| 34
|
0-2-15
|
1-9/8-18/11
|
utonal
|
| 35
|
0-6-15
|
1-7/5-18/11
|
swetismic
|
| 36
|
0-9-15
|
1-7/6-18/11
|
swetismic
|
| 37
|
0-13-15
|
1-16/11-18/11
|
otonal
|
| 38
|
0-14-15
|
1-12/11-18/11
|
otonal
|
| 39
|
0-2-17
|
1-10/9-20/11
|
utonal
|
| 40
|
0-3-17
|
1-5/3-20/11
|
utonal
|
| 41
|
0-4-17
|
1-5/4-20/11
|
utonal
|
| 42
|
0-8-17
|
1-14/9-20/11
|
swetismic
|
| 43
|
0-9-17
|
1-7/6-20/11
|
swetismic
|
| 44
|
0-13-17
|
1-16/11-20/11
|
otonal
|
| 45
|
0-14-17
|
1-12/11-20/11
|
otonal
|
| 46
|
0-15-17
|
1-18/11-20/11
|
otonal
|
| 47
|
0-6-23
|
1-7/5-14/11
|
utonal
|
| 48
|
0-8-23
|
1-14/9-14/11
|
utonal
|
| 49
|
0-9-23
|
1-7/6-14/11
|
utonal
|
| 50
|
0-10-23
|
1-7/4-14/11
|
utonal
|
| 51
|
0-13-23
|
1-16/11-14/11
|
otonal
|
| 52
|
0-14-23
|
1-12/11-14/11
|
otonal
|
| 53
|
0-15-23
|
1-18/11-14/11
|
otonal
|
| 54
|
0-17-23
|
1-20/11-14/11
|
otonal
|
Tetrads
| Number
|
Chord
|
Transversal
|
Type
|
| 1
|
0-1-2-3
|
1-3/2-9/8-5/3
|
didymic
|
| 2
|
0-1-2-4
|
1-3/2-9/8-5/4
|
otonal
|
| 3
|
0-1-3-4
|
1-3/2-5/3-5/4
|
ambitonal
|
| 4
|
0-2-3-4
|
1-10/9-5/3-5/4
|
utonal
|
| 5
|
0-2-3-6
|
1-9/8-5/3-7/5
|
erato
|
| 6
|
0-2-4-6
|
1-9/8-5/4-7/5
|
erato
|
| 7
|
0-3-4-6
|
1-5/3-5/4-7/5
|
erato
|
| 8
|
0-2-4-8
|
1-9/8-5/4-14/9
|
erato
|
| 9
|
0-2-6-8
|
1-9/8-7/5-14/9
|
erato
|
| 10
|
0-4-6-8
|
1-5/4-7/5-14/9
|
erato
|
| 11
|
0-1-3-9
|
1-3/2-5/3-7/6
|
otonal
|
| 12
|
0-3-6-9
|
1-5/3-7/5-7/6
|
starling
|
| 13
|
0-6-8-9
|
1-7/5-14/9-7/6
|
utonal
|
| 14
|
0-1-2-10
|
1-3/2-9/8-7/4
|
otonal
|
| 15
|
0-1-4-10
|
1-3/2-5/4-7/4
|
otonal
|
| 16
|
0-2-4-10
|
1-9/8-5/4-7/4
|
otonal
|
| 17
|
0-2-6-10
|
1-9/8-7/5-7/4
|
marvel
|
| 18
|
0-4-6-10
|
1-5/4-7/5-7/4
|
marvel
|
| 19
|
0-2-8-10
|
1-9/8-14/9-7/4
|
didymic
|
| 20
|
0-4-8-10
|
1-5/4-14/9-7/4
|
marvel
|
| 21
|
0-6-8-10
|
1-7/5-14/9-7/4
|
utonal
|
| 22
|
0-1-9-10
|
1-3/2-7/6-7/4
|
ambitonal
|
| 23
|
0-6-9-10
|
1-7/5-7/6-7/4
|
utonal
|
| 24
|
0-8-9-10
|
1-14/9-7/6-7/4
|
utonal
|
| 25
|
0-3-4-13
|
1-5/3-5/4-16/11
|
keenanismic
|
| 26
|
0-3-9-13
|
1-5/3-7/6-16/11
|
keenanismic
|
| 27
|
0-4-10-13
|
1-5/4-7/4-16/11
|
keenanismic
|
| 28
|
0-9-10-13
|
1-7/6-7/4-16/11
|
keenanismic
|
| 29
|
0-1-4-14
|
1-3/2-5/4-12/11
|
keenanismic
|
| 30
|
0-4-6-14
|
1-5/4-7/5-12/11
|
unimarv
|
| 31
|
0-4-8-14
|
1-5/4-14/9-12/11
|
unimarv
|
| 32
|
0-6-8-14
|
1-7/5-14/9-12/11
|
terpsichore
|
| 33
|
0-1-10-14
|
1-3/2-7/4-12/11
|
keenanismic
|
| 34
|
0-4-10-14
|
1-5/4-7/4-12/11
|
keenanismic
|
| 35
|
0-6-10-14
|
1-7/5-7/4-12/11
|
unimarv
|
| 36
|
0-8-10-14
|
1-14/9-7/4-12/11
|
unimarv
|
| 37
|
0-4-13-14
|
1-5/4-16/11-12/11
|
keenanismic
|
| 38
|
0-10-13-14
|
1-7/4-16/11-12/11
|
keenanismic
|
| 39
|
0-1-2-15
|
1-3/2-9/8-18/11
|
utonal
|
| 40
|
0-2-6-15
|
1-9/8-7/5-18/11
|
unimarv
|
| 41
|
0-1-9-15
|
1-3/2-7/6-18/11
|
swetismic
|
| 42
|
0-6-9-15
|
1-7/5-7/6-18/11
|
swetismic
|
| 43
|
0-9-13-15
|
1-7/6-16/11-18/11
|
unimarv
|
| 44
|
0-1-14-15
|
1-3/2-12/11-18/11
|
ambitonal
|
| 45
|
0-6-14-15
|
1-7/5-12/11-18/11
|
swetismic
|
| 46
|
0-13-14-15
|
1-16/11-12/11-18/11
|
otonal
|
| 47
|
0-2-3-17
|
1-10/9-5/3-20/11
|
utonal
|
| 48
|
0-2-4-17
|
1-10/9-5/4-20/11
|
utonal
|
| 49
|
0-3-4-17
|
1-5/3-5/4-20/11
|
utonal
|
| 50
|
0-2-8-17
|
1-9/8-14/9-20/11
|
terpsichore
|
| 51
|
0-4-8-17
|
1-5/4-14/9-20/11
|
unimarv
|
| 52
|
0-3-9-17
|
1-5/3-7/6-20/11
|
swetismic
|
| 53
|
0-8-9-17
|
1-14/9-7/6-20/11
|
swetismic
|
| 54
|
0-3-13-17
|
1-5/3-16/11-20/11
|
keenanismic
|
| 55
|
0-4-13-17
|
1-5/4-16/11-20/11
|
keenanismic
|
| 56
|
0-9-13-17
|
1-7/6-16/11-20/11
|
unimarv
|
| 57
|
0-4-14-17
|
1-5/4-12/11-20/11
|
keenanismic
|
| 58
|
0-8-14-17
|
1-14/9-12/11-20/11
|
swetismic
|
| 59
|
0-13-14-17
|
1-16/11-12/11-20/11
|
otonal
|
| 60
|
0-2-15-17
|
1-9/8-18/11-20/11
|
didymic
|
| 61
|
0-9-15-17
|
1-7/6-18/11-20/11
|
terpsichore
|
| 62
|
0-13-15-17
|
1-16/11-18/11-20/11
|
otonal
|
| 63
|
0-14-15-17
|
1-12/11-18/11-20/11
|
otonal
|
| 64
|
0-6-8-23
|
1-7/5-14/9-14/11
|
utonal
|
| 65
|
0-6-9-23
|
1-7/5-7/6-14/11
|
utonal
|
| 66
|
0-8-9-23
|
1-14/9-7/6-14/11
|
utonal
|
| 67
|
0-6-10-23
|
1-7/5-7/4-14/11
|
utonal
|
| 68
|
0-8-10-23
|
1-14/9-7/4-14/11
|
utonal
|
| 69
|
0-9-10-23
|
1-7/6-7/4-14/11
|
utonal
|
| 70
|
0-9-13-23
|
1-7/6-16/11-14/11
|
keenanismic
|
| 71
|
0-10-13-23
|
1-7/4-16/11-14/11
|
keenanismic
|
| 72
|
0-6-14-23
|
1-7/5-12/11-14/11
|
swetismic
|
| 73
|
0-8-14-23
|
1-14/9-12/11-14/11
|
swetismic
|
| 74
|
0-10-14-23
|
1-7/4-12/11-14/11
|
keenanismic
|
| 75
|
0-13-14-23
|
1-16/11-12/11-14/11
|
otonal
|
| 76
|
0-6-15-23
|
1-7/5-18/11-14/11
|
swetismic
|
| 77
|
0-9-15-23
|
1-7/6-18/11-14/11
|
swetismic
|
| 78
|
0-13-15-23
|
1-16/11-18/11-14/11
|
otonal
|
| 79
|
0-14-15-23
|
1-12/11-18/11-14/11
|
otonal
|
| 80
|
0-8-17-23
|
1-14/9-20/11-14/11
|
swetismic
|
| 81
|
0-9-17-23
|
1-7/6-20/11-14/11
|
swetismic
|
| 82
|
0-13-17-23
|
1-16/11-20/11-14/11
|
otonal
|
| 83
|
0-14-17-23
|
1-12/11-20/11-14/11
|
otonal
|
| 84
|
0-15-17-23
|
1-18/11-20/11-14/11
|
otonal
|
Pentads
| Number
|
Chord
|
Transversal
|
Type
|
| 1
|
0-1-2-3-4
|
1-3/2-9/8-5/3-5/4
|
didymic
|
| 2
|
0-2-3-4-6
|
1-9/8-5/3-5/4-7/5
|
erato
|
| 3
|
0-2-4-6-8
|
1-9/8-5/4-7/5-14/9
|
erato
|
| 4
|
0-1-2-4-10
|
1-3/2-9/8-5/4-7/4
|
otonal
|
| 5
|
0-2-4-6-10
|
1-9/8-5/4-7/5-7/4
|
erato
|
| 6
|
0-2-4-8-10
|
1-9/8-5/4-14/9-7/4
|
erato
|
| 7
|
0-2-6-8-10
|
1-9/8-7/5-14/9-7/4
|
erato
|
| 8
|
0-4-6-8-10
|
1-5/4-7/5-14/9-7/4
|
erato
|
| 9
|
0-6-8-9-10
|
1-7/5-14/9-7/6-7/4
|
utonal
|
| 10
|
0-4-6-8-14
|
1-5/4-7/5-14/9-12/11
|
meanpop
|
| 11
|
0-1-4-10-14
|
1-3/2-5/4-7/4-12/11
|
keenanismic
|
| 12
|
0-4-6-10-14
|
1-5/4-7/5-7/4-12/11
|
unimarv
|
| 13
|
0-4-8-10-14
|
1-5/4-14/9-7/4-12/11
|
unimarv
|
| 14
|
0-6-8-10-14
|
1-7/5-14/9-7/4-12/11
|
meanpop
|
| 15
|
0-4-10-13-14
|
1-5/4-7/4-16/11-12/11
|
keenanismic
|
| 16
|
0-2-3-4-17
|
1-10/9-5/3-5/4-20/11
|
utonal
|
| 17
|
0-2-4-8-17
|
1-9/8-5/4-14/9-20/11
|
meanpop
|
| 18
|
0-3-4-13-17
|
1-5/3-5/4-16/11-20/11
|
keenanismic
|
| 19
|
0-3-9-13-17
|
1-5/3-7/6-16/11-20/11
|
unimarv
|
| 20
|
0-4-8-14-17
|
1-5/4-14/9-12/11-20/11
|
unimarv
|
| 21
|
0-4-13-14-17
|
1-5/4-16/11-12/11-20/11
|
keenanismic
|
| 22
|
0-9-13-15-17
|
1-7/6-16/11-18/11-20/11
|
meanpop
|
| 23
|
0-13-14-15-17
|
1-16/11-12/11-18/11-20/11
|
otonal
|
| 24
|
0-6-8-9-23
|
1-7/5-14/9-7/6-14/11
|
utonal
|
| 25
|
0-6-8-10-23
|
1-7/5-14/9-7/4-14/11
|
utonal
|
| 26
|
0-6-9-10-23
|
1-7/5-7/6-7/4-14/11
|
utonal
|
| 27
|
0-8-9-10-23
|
1-14/9-7/6-7/4-14/11
|
utonal
|
| 28
|
0-9-10-13-23
|
1-7/6-7/4-16/11-14/11
|
keenanismic
|
| 29
|
0-6-8-14-23
|
1-7/5-14/9-12/11-14/11
|
terpsichore
|
| 30
|
0-6-10-14-23
|
1-7/5-7/4-12/11-14/11
|
unimarv
|
| 31
|
0-8-10-14-23
|
1-14/9-7/4-12/11-14/11
|
unimarv
|
| 32
|
0-10-13-14-23
|
1-7/4-16/11-12/11-14/11
|
keenanismic
|
| 33
|
0-6-9-15-23
|
1-7/5-7/6-18/11-14/11
|
swetismic
|
| 34
|
0-9-13-15-23
|
1-7/6-16/11-18/11-14/11
|
unimarv
|
| 35
|
0-6-14-15-23
|
1-7/5-12/11-18/11-14/11
|
swetismic
|
| 36
|
0-13-14-15-23
|
1-16/11-12/11-18/11-14/11
|
otonal
|
| 37
|
0-8-9-17-23
|
1-14/9-7/6-20/11-14/11
|
swetismic
|
| 38
|
0-9-13-17-23
|
1-7/6-16/11-20/11-14/11
|
unimarv
|
| 39
|
0-8-14-17-23
|
1-14/9-12/11-20/11-14/11
|
swetismic
|
| 40
|
0-13-14-17-23
|
1-16/11-12/11-20/11-14/11
|
otonal
|
| 41
|
0-9-15-17-23
|
1-7/6-18/11-20/11-14/11
|
terpsichore
|
| 42
|
0-13-15-17-23
|
1-16/11-18/11-20/11-14/11
|
otonal
|
| 43
|
0-14-15-17-23
|
1-12/11-18/11-20/11-14/11
|
otonal
|
Hexads
| Number
|
Chord
|
Transversal
|
Type
|
| 1
|
0-2-4-6-8-10
|
1-9/8-5/4-7/5-14/9-7/4
|
erato
|
| 2
|
0-4-6-8-10-14
|
1-5/4-7/5-14/9-7/4-12/11
|
meanpop
|
| 3
|
0-6-8-9-10-23
|
1-7/5-14/9-7/6-7/4-14/11
|
utonal
|
| 4
|
0-6-8-10-14-23
|
1-7/5-14/9-7/4-12/11-14/11
|
meanpop
|
| 5
|
0-9-13-15-17-23
|
1-7/6-16/11-18/11-20/11-14/11
|
meanpop
|
| 6
|
0-13-14-15-17-23
|
1-16/11-12/11-18/11-20/11-14/11
|
otonal
|