46edo: Difference between revisions

Line 782:

{| class="wikitable center-4 center-5 center-6"

! rowspan="2" | [[Subgroup]]

! rowspan="2" | [[Comma list~~|Comma List~~]]

! rowspan="2" | [[Comma list]]

! rowspan="2" | [[Mapping]]

! rowspan="2" | Optimal 8ve ~~Stretch~~ (¢)

! rowspan="2" | Optimal 8ve stretch (¢)

! colspan="2" | Tuning ~~Error~~

! colspan="2" | Tuning error

|-

! [[TE error|Absolute]] (¢)

Line 792:

| 2.3

| {{monzo| 73 -46 }}

| [{{~~val~~| 46 73 }}]

| {{mapping| 46 73 }}

| −0.755

| 0.75

Line 799:

| 2.3.5

| 2048/2025, 78732/78125

| [{{~~val~~| 46 73 107 }}]

| {{mapping| 46 73 107 }}

| −1.219

| 0.90

Line 806:

| 2.3.5.7

| 126/125, 245/243, 1029/1024

| [{{~~val~~| 46 73 107 129 }}]

| {{mapping| 46 73 107 129 }}

| −0.595

| 1.34

Line 813:

| 2.3.5.7.11

| 121/120, 126/125, 176/175, 245/243

| [{{~~val~~| 46 73 107 129 159 }}]

| {{mapping| 46 73 107 129 159 }}

| −0.274

| 1.36

Line 820:

| 2.3.5.7.11.13

| 91/90, 121/120, 169/168, 176/175, 245/243

| [{{~~val~~| 46 73 107 129 159 170 }}]

| {{mapping| 46 73 107 129 159 170 }}

| +0.030

| 1.41

Line 827:

| 2.3.5.7.11.13.17

| 91/90, 121/120, 154/153, 169/168, 176/175, 245/243

| [{{~~val~~| 46 73 107 129 159 170 188 }}]

| {{mapping| 46 73 107 129 159 170 188 }}

| +0.047

| 1.31

Line 834:

| 2.3.5.7.11.13.17.23

| 91/90, 121/120, 154/153, 169/168, 176/175, 208/207, 231/230

| [{{~~val~~| 46 73 107 129 159 170 188 208 }}]

| {{mapping| 46 73 107 129 159 170 188 208 }}

| +0.101

| 1.23

| 4.72

|}

* 46et is lower in relative error than any previous equal temperaments in the 17-, 19-, 23-limit, and others. The next equal temperaments doing better in the aforementioned subgroups are 72, 72, 94, respectively. 46et is even more prominent in the no-19 23-limit, and the next equal temperament doing better in this subgroup is 140.

=== Commas ===

Line 845:

Line 846:

{| class="commatable wikitable center-1 center-2 right-4 center-5"

|-

! [[Harmonic limit|Prime ~~Limit~~]]

! [[Harmonic limit|Prime limit]]

! [[Ratio]]<ref group="note">{{rd}}</ref>

! [[Monzo]]

Line 976:

Line 977:

| 19.13

| Thozogu

| Superleap

| Superleap comma, biome comma

|-

| 13

Line 1,013:

Line 1,014:

| Semitonisma

|}

46et is lower in relative error than any previous equal temperaments in the 17-, 19-, 23-limit, and others. The next equal temperaments doing better in the aforementioned subgroups are 72, 72, 94, respectively. 46et is even more prominent in the no-19 23-limit, and the next equal temperament doing better in this subgroup is 140.

=== Rank-2 temperaments ===

Line 1,036:

Line 1,035:

| 78.261

| [[Valentine]]

| 1L 14s (15-tone) 15L 1s (16-tone) 16L 15s (31-tone)

| 1L 14s (15-tone) 15L 1s (16-tone) 16L 15s (31-tone)

| 4:3 ~ [[Maximal evenness|quasi-equal]] 3:1 2:1 ~ QE

| 4:3 ~ [[Maximal evenness|quasi-equal]] 3:1 2:1 ~ QE

|-

| 5\46

| 130.435

| [[Twothirdtonic]]

| [[1L 8s]] (9-tone) [[9L 1s]] (10-tone) 9L 10s (19-tone) 9L 19s (28-tone) 9L 28s (37-tone)

| [[1L 8s]] (9-tone) [[9L 1s]] (10-tone) 9L 10s (19-tone) 9L 19s (28-tone) 9L 28s (37-tone)

| 6:5 ~ QE 5:1 4:1 3:1 2:1 ~ QE

| 6:5 ~ QE 5:1 4:1 3:1 2:1 ~ QE

|-

| 7\46

| 182.609

| [[Minortone]] / [[mitonic]]

| [[1L 5s]] (6-tone) [[6L 1s]] (7-tone) 7L 6s (13-tone) 13L 7s (20-tone) 13L 20s (33-tone)

| [[1L 5s]] (6-tone) [[6L 1s]] (7-tone) 7L 6s (13-tone) 13L 7s (20-tone) 13L 20s (33-tone)

| 11:7 7:4 4:3 ~ QE 3:1 2:1 ~ QE

| 11:7 7:4 4:3 ~ QE 3:1 2:1 ~ QE

|-

| 9\46

| 234.783

| [[Rodan]]

| [[1L 4s]] (5-tone) [[1L 5s]] (6-tone) [[5L 6s]] (11-tone) 5L 11s (16-tone) 5L 16s (21-tone) 5L 21s (26-tone) 5L 26s (31-tone) 5L 31s (36-tone) 5L 36s (41-tone)

| [[1L 4s]] (5-tone) [[1L 5s]] (6-tone) [[5L 6s]] (11-tone) 5L 11s (16-tone) 5L 16s (21-tone) 5L 21s (26-tone) 5L 26s (31-tone) 5L 31s (36-tone) 5L 36s (41-tone)

| 10:9 ~QE 9:1 8:1 7:1 6:1 5:1 4:1 3:1 2:1 ~ QE, Pathological

| 10:9 ~QE 9:1 8:1 7:1 6:1 5:1 4:1 3:1 2:1 ~ QE, Pathological

|-

| 11\46

| 286.957

| [[Amity_family#Gamity|Gamity]]

| [[4L 1s]] (5-tone) [[4L 5s]] (9-tone) 4L 9s (13-tone) 4L 13s (17-tone) 4L 17s (21-tone) 21L 4s (25-tone)

| [[4L 1s]] (5-tone) [[4L 5s]] (9-tone) 4L 9s (13-tone) 4L 13s (17-tone) 4L 17s (21-tone) 21L 4s (25-tone)

| 11:2 9:2 7:2 5:2 3:2 ~ QE, Golden 2:1 ~ QE

| 11:2 9:2 7:2 5:2 3:2 ~ QE, Golden 2:1 ~ QE

|-

| 13\46

| 339.130

| [[Amity]] / [[hitchcock]]

| [[4L 3s]] (7-tone) [[7L 4s]] (11-tone) 7L 11s (18-tone) 7L 18s (25-tone) 7L 25s (32-tone) 7L 32s (39-tone)

| [[4L 3s]] (7-tone) [[7L 4s]] (11-tone) 7L 11s (18-tone) 7L 18s (25-tone) 7L 25s (32-tone) 7L 32s (39-tone)

| 7:6 ~ QE 6:1 5:1 4:1 3:1 2:1 ~ QE! Pathological

| 7:6 ~ QE 6:1 5:1 4:1 3:1 2:1 ~ QE! Pathological

|-

| 15\46

| 391.304

| [[Magus]] / [[amigo]]

| [[1L 2s]] (3-tone) [[3L 1s]] (4-tone) [[3L 4s]] (7-tone) [[3L 7s]] (10-tone) 3L 10s (13-tone) 3L 13s (16-tone) 3L 16s (19-tone) 3L 19s (21-tone) 3L 21s (24-tone) 3L 24s (27-tone) 3L 27s (30-tone) 3L 30s (33-tone) 3L 33s (36-tone) 3L 36s (39-tone) 3L 39s (42-tone)

| [[1L 2s]] (3-tone) [[3L 1s]] (4-tone) [[3L 4s]] (7-tone) [[3L 7s]] (10-tone) 3L 10s (13-tone) 3L 13s (16-tone) 3L 16s (19-tone) 3L 19s (21-tone) 3L 21s (24-tone) 3L 24s (27-tone) 3L 27s (30-tone) 3L 30s (33-tone) 3L 33s (36-tone) 3L 36s (39-tone) 3L 39s (42-tone)

| 16:15 ~ QE 15:1 14:1 13:1 12:1 11:1 10:1 9:1 8:1 7:1 6:1 5:1 4:1 3:1 ~ Pathological 2:1 ~ QE, Pathological

| 16:15 ~ QE 15:1 14:1 13:1 12:1 11:1 10:1 9:1 8:1 7:1 6:1 5:1 4:1 3:1 ~ Pathological 2:1 ~ QE, Pathological

|-

| 17\46

| 443.478

| [[Sensi]]

| [[3L 2s]] (5-tone) [[3L 5s]] (8-tone) [[8L 3s]] (11-tone) 8L 11s (19-tone) 19L 8s (27-tone)

| [[3L 2s]] (5-tone) [[3L 5s]] (8-tone) [[8L 3s]] (11-tone) 8L 11s (19-tone) 19L 8s (27-tone)

| 12:5 7:5 5:2 3:2 ~ QE, Golden 2:1

| 12:5 7:5 5:2 3:2 ~ QE, Golden 2:1

|-

| 19\46

| 495.652

| [[Leapday]]

| [[2L 3s]] (5-tone) [[5L 2s]] (7-tone) [[5L 7s]] (12-tone) 12L 5s (17-tone) 17L 12s (29-tone)

| [[2L 3s]] (5-tone) [[5L 2s]] (7-tone) [[5L 7s]] (12-tone) 12L 5s (17-tone) 17L 12s (29-tone)

| 11:8 8:3 5:3 ~ Golden 3:2 ~ QE, Golden 2:1 ~ QE

| 11:8 8:3 5:3 ~ Golden 3:2 ~ QE, Golden 2:1 ~ QE

|-

| 21\46

| 547.826

| [[Heinz]]

| [[2L 3s]] (5-tone) [[2L 5s]] (7-tone) [[2L 7s]] (9-tone) [[2L 9s]] (11-tone) 11L 2s (13-tone) 11L 13s (24-tone) 11L 24s (35-tone)

| [[2L 3s]] (5-tone) [[2L 5s]] (7-tone) [[2L 7s]] (9-tone) [[2L 9s]] (11-tone) 11L 2s (13-tone) 11L 13s (24-tone) 11L 24s (35-tone)

| 17:4 13:4 9:4 5:4 ~ QE 4:1 3:1 2:1 ~ QE

| 17:4 13:4 9:4 5:4 ~ QE 4:1 3:1 2:1 ~ QE

|-

| rowspan="11" | 2

Line 1,103:

Line 1,102:

| 52.174

| [[Shrutar]]

| 2L 2s (4-tone) [[2L 4s]] (6-tone) [[2L 6s]] (8-tone) [[2L 8s]] (10-tone) [[2L 10s]] (12-tone) 2L 12s (14-tone) 2L 14s (16-tone) 2L 16s (18-tone) 2L 18s (20-tone) 2L 20s (22-tone) 22L 2s (24-tone)

| 2L 2s (4-tone) [[2L 4s]] (6-tone) [[2L 6s]] (8-tone) [[2L 8s]] (10-tone) [[2L 10s]] (12-tone) 2L 12s (14-tone) 2L 14s (16-tone) 2L 16s (18-tone) 2L 18s (20-tone) 2L 20s (22-tone) 22L 2s (24-tone)

| 21:2 19:2 17:2 15:2 13:2 11:2 9:2 7:2 5:2 3:2 ~ QE, Golden 2:1 ~ QE

| 21:2 19:2 17:2 15:2 13:2 11:2 9:2 7:2 5:2 3:2 ~ QE, Golden 2:1 ~ QE

|-

| 3\46

| 78.261

| [[Semivalentine]]

| 2L 2s (4-tone) [[2L 4s]] (6-tone) [[2L 6s]] (8-tone) [[2L 8s]] (10-tone) [[2L 10s]] (12-tone) 2L 12s (14-tone) 14L 2s (16-tone) 16L 14s (30-tone)

| 2L 2s (4-tone) [[2L 4s]] (6-tone) [[2L 6s]] (8-tone) [[2L 8s]] (10-tone) [[2L 10s]] (12-tone) 2L 12s (14-tone) 14L 2s (16-tone) 16L 14s (30-tone)

| 20:3 17:3 14:3 11:3 8:3 5:3 ~ Golden 3:2 ~ QE, Golden 2:1 ~ QE

| 20:3 17:3 14:3 11:3 8:3 5:3 ~ Golden 3:2 ~ QE, Golden 2:1 ~ QE

|-

| 4\46

| 104.348

| [[Srutal]] / [[diaschismic]]

| 2L 2s (4-tone) [[2L 4s]] (6-tone) [[2L 6s]] (8-tone) [[2L 8s]] (10-tone) [[10L 2s]] (12-tone) 12L 10s (22-tone) 12L 22s (34-tone)

| 2L 2s (4-tone) [[2L 4s]] (6-tone) [[2L 6s]] (8-tone) [[2L 8s]] (10-tone) [[10L 2s]] (12-tone) 12L 10s (22-tone) 12L 22s (34-tone)

| 19:4 15:4 11:4 7:4 4:3 ~ QE 3:1 2:1 ~ QE

| 19:4 15:4 11:4 7:4 4:3 ~ QE 3:1 2:1 ~ QE

|-

| 5\46

| 130.435

|

| 2L 2s (4-tone) [[2L 4s]] (6-tone) [[2L 6s]] (8-tone) [[8L 2s]] (10-tone) 8L 10s (18-tone) 18L 10s (28-tone)

| 2L 2s (4-tone) [[2L 4s]] (6-tone) [[2L 6s]] (8-tone) [[8L 2s]] (10-tone) 8L 10s (18-tone) 18L 10s (28-tone)

| 18:5 13:5 8:5 ~ Golden 5:3 ~ Golden 3:2 ~ QE, Golden 2:1 ~ QE

| 18:5 13:5 8:5 ~ Golden 5:3 ~ Golden 3:2 ~ QE, Golden 2:1 ~ QE

|-

| 6\46

| 156.522

| [[Bison]]

| 2L 2s (4-tone) [[2L 4s]] (6-tone) [[6L 2s]] (8-tone) 8L 6s (14-tone) 8L 14s (22-tone) 8L 22s (30-tone) 8L 30s (38-tone

| 2L 2s (4-tone) [[2L 4s]] (6-tone) [[6L 2s]] (8-tone) 8L 6s (14-tone) 8L 14s (22-tone) 8L 22s (30-tone) 8L 30s (38-tone

| 17:6 11:6 6:5 ~ QE 5:1 4:1 3:1 2:1 ~ QE, Pathological

| 17:6 11:6 6:5 ~ QE 5:1 4:1 3:1 2:1 ~ QE, Pathological

|-

| 7\46

| 182.609

| [[Unidec]] / [[hendec]]

| 2L 2s (4-tone) [[2L 4s]] (6-tone) [[6L 2s]] (8-tone) 6L 8s (14-tone) 6L 14s (20-tone) 20L 6s (26-tone)

| 2L 2s (4-tone) [[2L 4s]] (6-tone) [[6L 2s]] (8-tone) 6L 8s (14-tone) 6L 14s (20-tone) 20L 6s (26-tone)

| 16:7 9:7 7:2 5:2 3:2 ~ QE, Golden 2:1 ~ QE

| 16:7 9:7 7:2 5:2 3:2 ~ QE, Golden 2:1 ~ QE

|-

| 8\46

| 208.696

| [[Abigail]]

| 2L 2s (4-tone) [[4L 2s]] (6-tone) [[6L 2s]] (8-tone) 6L 8s (14-tone) 6L 14s (20-tone) 6L 20s (26-tone) 6L 26s (32-tone) 6L 32s (38-tone) 6L 38s (44-tone)

| 2L 2s (4-tone) [[4L 2s]] (6-tone) [[6L 2s]] (8-tone) 6L 8s (14-tone) 6L 14s (20-tone) 6L 20s (26-tone) 6L 26s (32-tone) 6L 32s (38-tone) 6L 38s (44-tone)

| 15:8 8:7 ~ QE 8:1 7:1 6:1 5:1 4:1 3:1 ~ Pathological 2:1 ~ QE, Pathological

| 15:8 8:7 ~ QE 8:1 7:1 6:1 5:1 4:1 3:1 ~ Pathological 2:1 ~ QE, Pathological

|-

| 9\46

| 234.783

| [[Echidnic]]

| 2L 2s (4-tone) [[4L 2s]] (6-tone) [[6L 4s]] (10-tone) 10L 6s (16-tone) 10L 16s (26-tone) 10L 26s (36-tone)

| 2L 2s (4-tone) [[4L 2s]] (6-tone) [[6L 4s]] (10-tone) 10L 6s (16-tone) 10L 16s (26-tone) 10L 26s (36-tone)

| 14:9 9:5 5:4 ~ QE 4:1 3:1 2:1 ~ QE

| 14:9 9:5 5:4 ~ QE 4:1 3:1 2:1 ~ QE

|-

| 10\46

| 260.87

| [[Bamity]]

| 2L 2s (4-tone) [[4L 2s]] (6-tone) [[4L 6s]] (10-tone) 4L 10s (14-tone) 14L 4s (18-tone) 14L 18s (32-tone)

| 2L 2s (4-tone) [[4L 2s]] (6-tone) [[4L 6s]] (10-tone) 4L 10s (14-tone) 14L 4s (18-tone) 14L 18s (32-tone)

| 13:10 10:3 7:3 4:3 ~ QE 3:1 2:1 ~ QE

| 13:10 10:3 7:3 4:3 ~ QE 3:1 2:1 ~ QE

|-

| 11\46

| 286.957

| [[Vines]]

| 2L 2s (4-tone) [[4L 2s]] (6-tone) [[4L 6s]] (10-tone) 4L 10s (14-tone) 4L 14s (18-tone) 4L 18s (22-tone) 4L 22s (26-tone) 4L 26s (30-tone) 4L 30s (34-tone) 4L 34s (38-tone) 4L 38s (42-tone)

| 2L 2s (4-tone) [[4L 2s]] (6-tone) [[4L 6s]] (10-tone) 4L 10s (14-tone) 4L 14s (18-tone) 4L 18s (22-tone) 4L 22s (26-tone) 4L 26s (30-tone) 4L 30s (34-tone) 4L 34s (38-tone) 4L 38s (42-tone)

| 12:11 ~ QE 11:1 10:1 9:1 8:1 7:1 6:1 5:1 4:1 3:1 ~ Pathological 2:1 ~ QE, Pathological

| 12:11 ~ QE 11:1 10:1 9:1 8:1 7:1 6:1 5:1 4:1 3:1 ~ Pathological 2:1 ~ QE, Pathological

|-

| 23

@@ Line 782: / Line 782: @@
 {| class="wikitable center-4 center-5 center-6"
 ! rowspan="2" | [[Subgroup]]
-! rowspan="2" | [[Comma list|Comma List]]
+! rowspan="2" | [[Comma list]]
 ! rowspan="2" | [[Mapping]]
-! rowspan="2" | Optimal<br />8ve Stretch (¢)
+! rowspan="2" | Optimal<br>8ve stretch (¢)
-! colspan="2" | Tuning Error
+! colspan="2" | Tuning error
 |-
 ! [[TE error|Absolute]] (¢)
@@ Line 792: / Line 792: @@
 | 2.3
 | {{monzo| 73 -46 }}
-| [{{val| 46 73 }}]
+| {{mapping| 46 73 }}
 | −0.755
 | 0.75
@@ Line 799: / Line 799: @@
 | 2.3.5
 | 2048/2025, 78732/78125
-| [{{val| 46 73 107 }}]
+| {{mapping| 46 73 107 }}
 | −1.219
 | 0.90
@@ Line 806: / Line 806: @@
 | 2.3.5.7
 | 126/125, 245/243, 1029/1024
-| [{{val| 46 73 107 129 }}]
+| {{mapping| 46 73 107 129 }}
 | −0.595
 | 1.34
@@ Line 813: / Line 813: @@
 | 2.3.5.7.11
 | 121/120, 126/125, 176/175, 245/243
-| [{{val| 46 73 107 129 159 }}]
+| {{mapping| 46 73 107 129 159 }}
 | −0.274
 | 1.36
@@ Line 820: / Line 820: @@
 | 2.3.5.7.11.13
 | 91/90, 121/120, 169/168, 176/175, 245/243
-| [{{val| 46 73 107 129 159 170 }}]
+| {{mapping| 46 73 107 129 159 170 }}
 | +0.030
 | 1.41
@@ Line 827: / Line 827: @@
 | 2.3.5.7.11.13.17
 | 91/90, 121/120, 154/153, 169/168, 176/175, 245/243
-| [{{val| 46 73 107 129 159 170 188 }}]
+| {{mapping| 46 73 107 129 159 170 188 }}
 | +0.047
 | 1.31
@@ Line 834: / Line 834: @@
 | 2.3.5.7.11.13.17.23
 | 91/90, 121/120, 154/153, 169/168, 176/175, 208/207, 231/230
-| [{{val| 46 73 107 129 159 170 188 208 }}]
+| {{mapping| 46 73 107 129 159 170 188 208 }}
 | +0.101
 | 1.23
 | 4.72
 |}
+* 46et is lower in relative error than any previous equal temperaments in the 17-, 19-, 23-limit, and others. The next equal temperaments doing better in the aforementioned subgroups are 72, 72, 94, respectively. 46et is even more prominent in the no-19 23-limit, and the next equal temperament doing better in this subgroup is 140.
 === Commas ===
@@ Line 845: / Line 846: @@
 {| class="commatable wikitable center-1 center-2 right-4 center-5"
 |-
-! [[Harmonic limit|Prime<br />Limit]]
+! [[Harmonic limit|Prime<br>limit]]
 ! [[Ratio]]<ref group="note">{{rd}}</ref>
 ! [[Monzo]]
@@ Line 976: / Line 977: @@
 | 19.13
 | Thozogu
-| Superleap
+| Superleap comma, biome comma
 |-
 | 13
@@ Line 1,013: / Line 1,014: @@
 | Semitonisma
 |}
-et is lower in relative error than any previous equal temperaments in the 17-, 19-, 23-limit, and others. The next equal temperaments doing better in the aforementioned subgroups are 72, 72, 94, respectively. 46et is even more prominent in the no-19 23-limit, and the next equal temperament doing better in this subgroup is 140.
 === Rank-2 temperaments ===
@@ Line 1,036: / Line 1,035: @@
 | 78.261
 | [[Valentine]]
-| 1L 14s (15-tone)<br />15L 1s (16-tone)<br />16L 15s (31-tone)
+| 1L 14s (15-tone)<br>15L 1s (16-tone)<br>16L 15s (31-tone)
-| 4:3 ~ [[Maximal evenness|quasi-equal]]<br />3:1<br />2:1 ~ QE
+| 4:3 ~ [[Maximal evenness|quasi-equal]]<br>3:1<br>2:1 ~ QE
 |-
 | 5\46
 | 130.435
 | [[Twothirdtonic]]
-| [[1L 8s]] (9-tone)<br />[[9L 1s]] (10-tone)<br />9L 10s (19-tone)<br />9L 19s (28-tone)<br />9L 28s (37-tone)
+| [[1L 8s]] (9-tone)<br>[[9L 1s]] (10-tone)<br>9L 10s (19-tone)<br>9L 19s (28-tone)<br>9L 28s (37-tone)
-| 6:5 ~ QE<br />5:1<br />4:1<br />3:1<br />2:1 ~ QE
+| 6:5 ~ QE<br>5:1<br>4:1<br>3:1<br>2:1 ~ QE
 |-
 | 7\46
 | 182.609
 | [[Minortone]] / [[mitonic]]
-| [[1L 5s]] (6-tone)<br />[[6L 1s]] (7-tone)<br />7L 6s (13-tone)<br />13L 7s (20-tone)<br />13L 20s (33-tone)
+| [[1L 5s]] (6-tone)<br>[[6L 1s]] (7-tone)<br>7L 6s (13-tone)<br>13L 7s (20-tone)<br>13L 20s (33-tone)
-| 11:7<br />7:4<br />4:3 ~ QE<br />3:1<br />2:1 ~ QE
+| 11:7<br>7:4<br>4:3 ~ QE<br>3:1<br>2:1 ~ QE
 |-
 | 9\46
 | 234.783
 | [[Rodan]]
-| [[1L 4s]] (5-tone)<br />[[1L 5s]] (6-tone)<br />[[5L 6s]] (11-tone)<br />5L 11s (16-tone)<br />5L 16s (21-tone)<br />5L 21s (26-tone)<br />5L 26s (31-tone)<br />5L 31s (36-tone)<br />5L 36s (41-tone)
+| [[1L 4s]] (5-tone)<br>[[1L 5s]] (6-tone)<br>[[5L 6s]] (11-tone)<br>5L 11s (16-tone)<br>5L 16s (21-tone)<br>5L 21s (26-tone)<br>5L 26s (31-tone)<br>5L 31s (36-tone)<br>5L 36s (41-tone)
-| 10:9 ~QE<br />9:1<br />8:1<br />7:1<br />6:1<br />5:1<br />4:1<br />3:1<br />2:1 ~ QE, Pathological
+| 10:9 ~QE<br>9:1<br>8:1<br>7:1<br>6:1<br>5:1<br>4:1<br>3:1<br>2:1 ~ QE, Pathological
 |-
 | 11\46
 | 286.957
 | [[Amity_family#Gamity|Gamity]]
-| [[4L 1s]] (5-tone)<br />[[4L 5s]] (9-tone)<br />4L 9s (13-tone)<br />4L 13s (17-tone)<br />4L 17s (21-tone)<br />21L 4s (25-tone)
+| [[4L 1s]] (5-tone)<br>[[4L 5s]] (9-tone)<br>4L 9s (13-tone)<br>4L 13s (17-tone)<br>4L 17s (21-tone)<br>21L 4s (25-tone)
-| 11:2<br />9:2<br />7:2<br />5:2<br />3:2 ~ QE, Golden<br />2:1 ~ QE
+| 11:2<br>9:2<br>7:2<br>5:2<br>3:2 ~ QE, Golden<br>2:1 ~ QE
 |-
 | 13\46
 | 339.130
 | [[Amity]] / [[hitchcock]]
-| [[4L 3s]] (7-tone)<br />[[7L 4s]] (11-tone)<br />7L 11s (18-tone)<br />7L 18s (25-tone)<br />7L 25s (32-tone)<br />7L 32s (39-tone)
+| [[4L 3s]] (7-tone)<br>[[7L 4s]] (11-tone)<br>7L 11s (18-tone)<br>7L 18s (25-tone)<br>7L 25s (32-tone)<br>7L 32s (39-tone)
-| 7:6 ~ QE<br />6:1<br />5:1<br />4:1<br />3:1<br />2:1 ~ QE! Pathological
+| 7:6 ~ QE<br>6:1<br>5:1<br>4:1<br>3:1<br>2:1 ~ QE! Pathological
 |-
 | 15\46
 | 391.304
 | [[Magus]] / [[amigo]]
-| [[1L 2s]] (3-tone)<br />[[3L 1s]] (4-tone)<br />[[3L 4s]] (7-tone)<br />[[3L 7s]] (10-tone)<br />3L 10s (13-tone)<br />3L 13s (16-tone)<br />3L 16s (19-tone)<br />3L 19s (21-tone)<br />3L 21s (24-tone)<br />3L 24s (27-tone)<br />3L 27s (30-tone)<br />3L 30s (33-tone)<br />3L 33s (36-tone)<br />3L 36s (39-tone)<br />3L 39s (42-tone)
+| [[1L 2s]] (3-tone)<br>[[3L 1s]] (4-tone)<br>[[3L 4s]] (7-tone)<br>[[3L 7s]] (10-tone)<br>3L 10s (13-tone)<br>3L 13s (16-tone)<br>3L 16s (19-tone)<br>3L 19s (21-tone)<br>3L 21s (24-tone)<br>3L 24s (27-tone)<br>3L 27s (30-tone)<br>3L 30s (33-tone)<br>3L 33s (36-tone)<br>3L 36s (39-tone)<br>3L 39s (42-tone)
-| 16:15 ~ QE<br />15:1<br />14:1<br />13:1<br />12:1<br />11:1<br />10:1<br />9:1<br />8:1<br />7:1<br />6:1<br />5:1<br />4:1<br />3:1 ~ Pathological<br />2:1 ~ QE, Pathological
+| 16:15 ~ QE<br>15:1<br>14:1<br>13:1<br>12:1<br>11:1<br>10:1<br>9:1<br>8:1<br>7:1<br>6:1<br>5:1<br>4:1<br>3:1 ~ Pathological<br>2:1 ~ QE, Pathological
 |-
 | 17\46
 | 443.478
 | [[Sensi]]
-| [[3L 2s]] (5-tone)<br />[[3L 5s]] (8-tone)<br />[[8L 3s]] (11-tone)<br />8L 11s (19-tone)<br />19L 8s (27-tone)
+| [[3L 2s]] (5-tone)<br>[[3L 5s]] (8-tone)<br>[[8L 3s]] (11-tone)<br>8L 11s (19-tone)<br>19L 8s (27-tone)
-| 12:5<br />7:5<br />5:2<br />3:2 ~ QE, Golden<br />2:1
+| 12:5<br>7:5<br>5:2<br>3:2 ~ QE, Golden<br>2:1
 |-
 | 19\46
 | 495.652
 | [[Leapday]]
-| [[2L 3s]] (5-tone)<br />[[5L 2s]] (7-tone)<br />[[5L 7s]] (12-tone)<br />12L 5s (17-tone)<br />17L 12s (29-tone)
+| [[2L 3s]] (5-tone)<br>[[5L 2s]] (7-tone)<br>[[5L 7s]] (12-tone)<br>12L 5s (17-tone)<br>17L 12s (29-tone)
-| 11:8<br />8:3<br />5:3 ~ Golden<br />3:2 ~ QE, Golden<br />2:1 ~ QE
+| 11:8<br>8:3<br>5:3 ~ Golden<br>3:2 ~ QE, Golden<br>2:1 ~ QE
 |-
 | 21\46
 | 547.826
 | [[Heinz]]
-| [[2L 3s]] (5-tone)<br />[[2L 5s]] (7-tone)<br />[[2L 7s]] (9-tone)<br />[[2L 9s]] (11-tone)<br />11L 2s (13-tone)<br />11L 13s (24-tone)<br />11L 24s (35-tone)
+| [[2L 3s]] (5-tone)<br>[[2L 5s]] (7-tone)<br>[[2L 7s]] (9-tone)<br>[[2L 9s]] (11-tone)<br>11L 2s (13-tone)<br>11L 13s (24-tone)<br>11L 24s (35-tone)
-| 17:4<br />13:4<br />9:4<br />5:4 ~ QE<br />4:1<br />3:1<br />2:1 ~ QE
+| 17:4<br>13:4<br>9:4<br>5:4 ~ QE<br>4:1<br>3:1<br>2:1 ~ QE
 |-
 | rowspan="11" | 2
@@ Line 1,103: / Line 1,102: @@
 | 52.174
 | [[Shrutar]]
-| 2L 2s (4-tone)<br />[[2L 4s]] (6-tone)<br />[[2L 6s]] (8-tone)<br />[[2L 8s]] (10-tone)<br />[[2L 10s]] (12-tone)<br />2L 12s (14-tone)<br />2L 14s (16-tone)<br />2L 16s (18-tone)<br />2L 18s (20-tone)<br />2L 20s (22-tone)<br />22L 2s (24-tone)
+| 2L 2s (4-tone)<br>[[2L 4s]] (6-tone)<br>[[2L 6s]] (8-tone)<br>[[2L 8s]] (10-tone)<br>[[2L 10s]] (12-tone)<br>2L 12s (14-tone)<br>2L 14s (16-tone)<br>2L 16s (18-tone)<br>2L 18s (20-tone)<br>2L 20s (22-tone)<br>22L 2s (24-tone)
-| 21:2<br />19:2<br />17:2<br />15:2<br />13:2<br />11:2<br />9:2<br />7:2<br />5:2<br />3:2 ~ QE, Golden<br />2:1 ~ QE
+| 21:2<br>19:2<br>17:2<br>15:2<br>13:2<br>11:2<br>9:2<br>7:2<br>5:2<br>3:2 ~ QE, Golden<br>2:1 ~ QE
 |-
 | 3\46
 | 78.261
 | [[Semivalentine]]
-| 2L 2s (4-tone)<br />[[2L 4s]] (6-tone)<br />[[2L 6s]] (8-tone)<br />[[2L 8s]] (10-tone)<br />[[2L 10s]] (12-tone)<br />2L 12s (14-tone)<br />14L 2s (16-tone)<br />16L 14s (30-tone)
+| 2L 2s (4-tone)<br>[[2L 4s]] (6-tone)<br>[[2L 6s]] (8-tone)<br>[[2L 8s]] (10-tone)<br>[[2L 10s]] (12-tone)<br>2L 12s (14-tone)<br>14L 2s (16-tone)<br>16L 14s (30-tone)
-| 20:3<br />17:3<br />14:3<br />11:3<br />8:3<br />5:3 ~ Golden<br />3:2 ~ QE, Golden<br />2:1 ~ QE
+| 20:3<br>17:3<br>14:3<br>11:3<br>8:3<br>5:3 ~ Golden<br>3:2 ~ QE, Golden<br>2:1 ~ QE
 |-
 | 4\46
 | 104.348
 | [[Srutal]] / [[diaschismic]]
-| 2L 2s (4-tone)<br />[[2L 4s]] (6-tone)<br />[[2L 6s]] (8-tone)<br />[[2L 8s]] (10-tone)<br />[[10L 2s]] (12-tone)<br />12L 10s (22-tone)<br />12L 22s (34-tone)
+| 2L 2s (4-tone)<br>[[2L 4s]] (6-tone)<br>[[2L 6s]] (8-tone)<br>[[2L 8s]] (10-tone)<br>[[10L 2s]] (12-tone)<br>12L 10s (22-tone)<br>12L 22s (34-tone)
-| 19:4<br />15:4<br />11:4<br />7:4<br />4:3 ~ QE<br />3:1<br />2:1 ~ QE
+| 19:4<br>15:4<br>11:4<br>7:4<br>4:3 ~ QE<br>3:1<br>2:1 ~ QE
 |-
 | 5\46
 | 130.435
 |
-| 2L 2s (4-tone)<br />[[2L 4s]] (6-tone)<br />[[2L 6s]] (8-tone)<br />[[8L 2s]] (10-tone)<br />8L 10s (18-tone)<br />18L 10s (28-tone)
+| 2L 2s (4-tone)<br>[[2L 4s]] (6-tone)<br>[[2L 6s]] (8-tone)<br>[[8L 2s]] (10-tone)<br>8L 10s (18-tone)<br>18L 10s (28-tone)
-| 18:5<br />13:5<br />8:5 ~ Golden<br />5:3 ~ Golden<br />3:2 ~ QE, Golden<br />2:1 ~ QE
+| 18:5<br>13:5<br>8:5 ~ Golden<br>5:3 ~ Golden<br>3:2 ~ QE, Golden<br>2:1 ~ QE
 |-
 | 6\46
 | 156.522
 | [[Bison]]
-| 2L 2s (4-tone)<br />[[2L 4s]] (6-tone)<br />[[6L 2s]] (8-tone)<br />8L 6s (14-tone)<br />8L 14s (22-tone)<br />8L 22s (30-tone)<br />8L 30s (38-tone
+| 2L 2s (4-tone)<br>[[2L 4s]] (6-tone)<br>[[6L 2s]] (8-tone)<br>8L 6s (14-tone)<br>8L 14s (22-tone)<br>8L 22s (30-tone)<br>8L 30s (38-tone
-| 17:6<br />11:6<br />6:5 ~ QE<br />5:1<br />4:1<br />3:1<br />2:1 ~ QE, Pathological
+| 17:6<br>11:6<br>6:5 ~ QE<br>5:1<br>4:1<br>3:1<br>2:1 ~ QE, Pathological
 |-
 | 7\46
 | 182.609
 | [[Unidec]] / [[hendec]]
-| 2L 2s (4-tone)<br />[[2L 4s]] (6-tone)<br />[[6L 2s]] (8-tone)<br />6L 8s (14-tone)<br />6L 14s (20-tone)<br />20L 6s (26-tone)
+| 2L 2s (4-tone)<br>[[2L 4s]] (6-tone)<br>[[6L 2s]] (8-tone)<br>6L 8s (14-tone)<br>6L 14s (20-tone)<br>20L 6s (26-tone)
-| 16:7<br />9:7<br />7:2<br />5:2<br />3:2 ~ QE, Golden<br />2:1 ~ QE
+| 16:7<br>9:7<br>7:2<br>5:2<br>3:2 ~ QE, Golden<br>2:1 ~ QE
 |-
 | 8\46
 | 208.696
 | [[Abigail]]
-| 2L 2s (4-tone)<br />[[4L 2s]] (6-tone)<br />[[6L 2s]] (8-tone)<br />6L 8s (14-tone)<br />6L 14s (20-tone)<br />6L 20s (26-tone)<br />6L 26s (32-tone)<br />6L 32s (38-tone)<br />6L 38s (44-tone)
+| 2L 2s (4-tone)<br>[[4L 2s]] (6-tone)<br>[[6L 2s]] (8-tone)<br>6L 8s (14-tone)<br>6L 14s (20-tone)<br>6L 20s (26-tone)<br>6L 26s (32-tone)<br>6L 32s (38-tone)<br>6L 38s (44-tone)
-| 15:8<br />8:7 ~ QE<br />8:1<br />7:1<br />6:1<br />5:1<br />4:1<br />3:1 ~ Pathological<br />2:1 ~ QE, Pathological
+| 15:8<br>8:7 ~ QE<br>8:1<br>7:1<br>6:1<br>5:1<br>4:1<br>3:1 ~ Pathological<br>2:1 ~ QE, Pathological
 |-
 | 9\46
 | 234.783
 | [[Echidnic]]
-| 2L 2s (4-tone)<br />[[4L 2s]] (6-tone)<br />[[6L 4s]] (10-tone)<br />10L 6s (16-tone)<br />10L 16s (26-tone)<br />10L 26s (36-tone)
+| 2L 2s (4-tone)<br>[[4L 2s]] (6-tone)<br>[[6L 4s]] (10-tone)<br>10L 6s (16-tone)<br>10L 16s (26-tone)<br>10L 26s (36-tone)
-| 14:9<br />9:5<br />5:4 ~ QE<br />4:1<br />3:1<br />2:1 ~ QE
+| 14:9<br>9:5<br>5:4 ~ QE<br>4:1<br>3:1<br>2:1 ~ QE
 |-
 | 10\46
 | 260.87
 | [[Bamity]]
-| 2L 2s (4-tone)<br />[[4L 2s]] (6-tone)<br />[[4L 6s]] (10-tone)<br />4L 10s (14-tone)<br />14L 4s (18-tone)<br />14L 18s (32-tone)
+| 2L 2s (4-tone)<br>[[4L 2s]] (6-tone)<br>[[4L 6s]] (10-tone)<br>4L 10s (14-tone)<br>14L 4s (18-tone)<br>14L 18s (32-tone)
-| 13:10<br />10:3<br />7:3<br />4:3 ~ QE<br />3:1<br />2:1 ~ QE
+| 13:10<br>10:3<br>7:3<br>4:3 ~ QE<br>3:1<br>2:1 ~ QE
 |-
 | 11\46
 | 286.957
 | [[Vines]]
-| 2L 2s (4-tone)<br />[[4L 2s]] (6-tone)<br />[[4L 6s]] (10-tone)<br />4L 10s (14-tone)<br />4L 14s (18-tone)<br />4L 18s (22-tone)<br />4L 22s (26-tone)<br />4L 26s (30-tone)<br />4L 30s (34-tone)<br />4L 34s (38-tone)<br />4L 38s (42-tone)
+| 2L 2s (4-tone)<br>[[4L 2s]] (6-tone)<br>[[4L 6s]] (10-tone)<br>4L 10s (14-tone)<br>4L 14s (18-tone)<br>4L 18s (22-tone)<br>4L 22s (26-tone)<br>4L 26s (30-tone)<br>4L 30s (34-tone)<br>4L 34s (38-tone)<br>4L 38s (42-tone)
-| 12:11 ~ QE<br />11:1<br />10:1<br />9:1<br />8:1<br />7:1<br />6:1<br />5:1<br />4:1<br />3:1 ~ Pathological<br />2:1 ~ QE, Pathological
+| 12:11 ~ QE<br>11:1<br>10:1<br>9:1<br>8:1<br>7:1<br>6:1<br>5:1<br>4:1<br>3:1 ~ Pathological<br>2:1 ~ QE, Pathological
 |-
 | 23