Heartland
The heartland is the name given to the collection of temperaments that are children of or related to the heartland temperament, the 2.3.7.11.19 subgroup temperament tempering out both 243/242 and 1083/1078, and its full 19-limit extension, heartsphere. The term "heartland" loosely means "interior part."
For extending the heartland temperament to the 2.3.5.7.11.19 subgroup, it is natural to temper out 361/360, 441/440 or 540/539, which makes a weak extension of the jove temperament. For extending to the 2.3.5.7.11.13.19 subgroup, tempering out 364/363 gives an excellent tuning.
Temperament data
Parent temperaments
Heartland
Subgroup: 2.3.7.11.19
Comma list: 243/242, 1083/1078
Mapping: [⟨1 1 0 2 1], ⟨0 4 0 10 3], ⟨0 0 1 0 1]]
Optimal tuning (POTE): ~2 = 1＼1, ~21/19 = 175.2713, ~7/4 = 969.3784
Optimal ET sequence: 7, 14, 27e, 34dh, 41, 89, 130
Heartsphere
Subgroup: Full 19-limit
Comma list: 243/242, 1083/1078
Mapping: [⟨1 1 0 0 2 0 0 1], ⟨0 4 0 0 10 0 0 3], ⟨0 0 1 0 0 0 0 0], ⟨0 0 0 1 0 0 0 1], ⟨0 0 0 0 0 1 0 0], ⟨0 0 0 0 0 0 1 0]]
Optimal tuning (POTE): ~2 = 1＼1, ~21/19 = 175.2713, ~5/4 = 386.0840, ~7/4 = 969.3784, ~13/8 = 840.1616, ~17/16 = 104.5510
2.3.7.11.19 subgroup temperaments
Hearts
Subgroup: 2.3.7.11.19
Comma list: 243/242, 513/512, 1083/1078
Mapping: [⟨1 1 5 2 6], ⟨0 4 -15 10 -12]]
Optimal tuning (POTE): ~2 = 1＼1, ~21/19 = 175.3413
Optimal ET sequence: 7, 27deh, 34, 41, 89, 130, 219
Badness: 0.010707
Heartful
Subgroup: 2.3.7.11.19
Comma list: 243/242, 896/891, 1083/1078
Mapping: [⟨1 1 -1 2 0], ⟨0 4 26 10 29]]
Optimal tuning (POTE): ~2 = 1＼1, ~21/19 = 175.8042
Optimal ET sequence: 34dh, 41, 116e, 157e
Badness: 0.019908
Doublehearted
Subgroup: 2.3.7.11.19
Comma list: 133/132, 243/242, 343/342
Mapping: [⟨1 1 2 2 3], ⟨0 8 11 20 17]]
Optimal tuning (POTE): ~2 = 1＼1, ~19/18 = 87.6684
Optimal ET sequence: 14, 27e, 41
Badness: 0.011318
Byhearted
Subgroup: 2.3.7.11.19
Comma list: 99/98, 243/242, 363/361
Mapping: [⟨2 2 3 4 5], ⟨0 4 9 10 12]]
Optimal tuning (POTE): ~27/19 = 1＼2, ~21/19 = 174.7347
Optimal ET sequence: 14, 34dh, 48, 110e, 158e
Badness: 0.018062
Full 19-limit temperaments
Heartlandia (rank 3)
Subgroup: Full 19-limit
Comma list: 171/170, 243/242, 324/323, 364/363, 441/440
Mapping: [⟨1 1 1 2 2 1 3 3], ⟨0 4 0 1 10 23 12 4], ⟨0 0 2 1 0 -1 -1 1]]
Optimal tuning (POTE): ~2 = 1＼1, ~21/19 = 175.3862, ~19/12 = 793.9558
Optimal ET sequence: 14cf, 27effg, 41, 89, 130g
Monkey
Subgroup: Full 19-limit
Comma list: 100/99, 105/104, 144/143, 154/153, 170/169, 171/169
Mapping: [⟨1 1 1 5 2 4 6 6], ⟨0 4 9 -15 10 -2 -13 -12]]
Optimal tuning (POTE): ~2 = 1＼1, ~10/9 = 175.6890
Optimal ET sequence: 7, 27deh, 34, 41
Badness: 0.022158
Sesquartia
Subgroup: Full 19-limit
Comma list: 243/242, 361/360, 364/363, 441/440, 456/455, 595/594
Mapping: [⟨1 1 7 5 2 -2 -6 6], ⟨0 4 -32 -15 10 39 69 -12]]
Optimal tuning (POTE): ~2 = 1＼1, ~21/19 = 175.4189
Optimal ET sequence: 41, 89g, 130, 171, 301eh
Badness: 0.020466
Heartia
Subgroup: Full 19-limit
Comma list: 171/170, 243/242, 256/255, 273/272, 324/323, 441/440
Mapping: [⟨1 1 7 5 2 -2 0 6], ⟨0 4 -32 -15 10 39 28 -12]]
Optimal tuning (POTE): ~2 = 1＼1, ~21/19 = 175.3798
Optimal ET sequence: 41, 89, 130g
Badness: 0.023059
Hearty
Subgroup: Full 19-limit
Comma list: 221/220, 243/242, 361/360, 364/363, 441/440, 456/455
Mapping: [⟨1 1 7 5 2 -2 13 6], ⟨0 4 -32 -15 10 39 -61 -12]]
Optimal tuning (POTE): ~2 = 1＼1, ~21/19 = 175.3766
Optimal ET sequence: 41g, 89, 130, 609ceefggh
Badness: 0.022816
Bunya
Subgroup: Full 19-limit
Comma list: 100/99, 120/119, 144/143, 170/169, 190/189, 225/224
Mapping: [⟨1 1 1 -1 2 4 6 0], ⟨0 4 9 26 10 -2 -13 29]]
Optimal tuning (POTE): ~2 = 1＼1, ~10/9 = 175.9529
Optimal ET sequence: 34dh, 41, 75e
Badness: 0.019460
Octacot
Subgroup: Full 19-limit
Comma list: 100/99, 120/119, 133/132, 144/143, 154/153, 189/187
Mapping: [⟨1 1 1 2 2 4 3 3], ⟨0 8 18 11 20 -4 15 17]]
Optimal tuning (POTE): ~2 = 1＼1, ~18/17 = 88.1109
Optimal ET sequence: 14c, 27eg, 41, 68egg, 109efgg
Badness: 0.016652
Byhearted
Subgroup: Full 19-limit
Comma list: 50/49, 78/77, 85/84, 99/98, 135/133, 243/242
Mapping: [⟨2 2 2 3 4 3 7 5], ⟨0 4 9 9 10 15 4 12]]
Optimal tuning (POTE): ~7/5 = 1＼2, ~21/19 = 175.6965
Optimal ET sequence: 14cf, 34dh, 48f, 82dh
Badness: 0.021029
Interval lattice
740.3¢ |
915.6¢ |
1090.9¢ |
66.1¢ |
241.4¢ |
14/11 416.7¢ |
591.9¢ |
14/9 767.2¢ |
19/11 942.5¢ |
21/11 1117.8¢ |
19/18 93.0¢ |
7/6 268.3¢ |
443.6¢ |
618.8¢ |
19/12 794.1¢ |
7/4 969.4¢ |
1144.6¢ |
119.9¢ |
19/16 295.2¢ |
21/16 470.5¢ |
||||||||||||||||||||||
| 16/11 647.3¢ |
822.6¢ |
16/9 997.8¢ |
1173.1¢ |
12/11 148.4¢ |
323.6¢ |
4/3 498.9¢ |
28/19 674.2¢ |
18/11 849.5¢ |
38/21 1024.7¢ |
1/1 0.0¢ |
21/19 175.3¢ |
11/9 350.5¢ |
19/14 525.8¢ |
3/2 701.1¢ |
876.4¢ |
11/6 1051.6¢ |
26.9¢ |
9/8 202.2¢ |
377.4¢ |
11/8 552.7¢ | |||||||||||||||||||||
| 32/21 729.5¢ |
32/19 904.8¢ |
1080.1¢ |
55.4¢ |
8/7 230.6¢ |
24/19 405.9¢ |
581.2¢ |
756.4¢ |
12/7 931.7¢ |
36/19 1107.0¢ |
22/21 82.2¢ |
22/19 257.5¢ |
9/7 432.8¢ |
608.1¢ |
11/7 783.3¢ |
958.6¢ |
1133.9¢ |
109.1¢ |
284.4¢ |
459.7¢ |
||||||||||||||||||||||
Scales
Heartland has 13, 27 and 41-tone MV3 scales, with 1L6m6s, 7L7m13s and 7L7m27s respectively.
Chords
Below are listed 21-odd-limit essentially tempered chords of the heartland temperament. Chords requiring tempering only by 243/242 are labeled rastmic, by 1083/1078 bihendrix, and by 3971/3969 heartlandismic. Those requiring any two of these commas are labeled heartland.
Triads
| # | Transversal | Steps | Type | Odd limit |
|---|---|---|---|---|
| 1 | 1-11/9-3/2 | 11/9-11/9-4/3 | rastmic | 11-odd-limit |
| 2 | 1-9/8-11/9 | 9/8-12/11-18/11 | rastmic | 11-odd-limit |
| 3 | 1-12/11-11/9 | 12/11-9/8-18/11 | rastmic | 11-odd-limit |
| 4 | 1-19/14-11/6 | 19/14-19/14-12/11 | bihendrix | 19-odd-limit |
| 5 | 1-7/6-19/14 | 7/6-22/19-28/19 | bihendrix | 19-odd-limit |
| 6 | 1-22/19-19/14 | 22/19-7/6-28/19 | bihendrix | 19-odd-limit |
| 7 | 1-11/9-9/7 | 11/9-22/21-14/9 | rastmic | 21-odd-limit |
| 8 | 1-22/21-9/7 | 22/21-11/9-14/9 | rastmic | 21-odd-limit |
| 9 | 1-11/9-19/14 | 11/9-21/19-28/19 | bihendrix | 21-odd-limit |
| 10 | 1-21/19-19/14 | 21/19-11/9-28/19 | bihendrix | 21-odd-limit |
| 11 | 1-22/19-9/7 | 22/19-21/19-14/9 | bihendrix | 21-odd-limit |
| 12 | 1-21/19-9/7 | 21/19-22/19-14/9 | bihendrix | 21-odd-limit |
| 13 | 1-21/19-11/9 | 21/19-21/19-18/11 | heartlandismic | 21-odd-limit |
| 14 | 1-19/18-21/19 | 19/18-22/21-38/21 | heartlandismic | 21-odd-limit |
| 15 | 1-22/21-21/19 | 22/21-19/18-38/21 | heartlandismic | 21-odd-limit |
Tetrads
| # | Transversal | Steps | Type | Odd limit |
|---|---|---|---|---|
| 1 | 1-11/9-3/2-11/6 | 11/9-11/9-11/9-12/11 | rastmic | 11-odd-limit |
| 2 | 1-9/8-3/2-11/6 | 9/8-4/3-11/9-12/11 | rastmic | 11-odd-limit |
| 3 | 1-9/8-11/9-11/6 | 9/8-12/11-3/2-12/11 | rastmic | 11-odd-limit |
| 4 | 1-9/8-11/9-3/2 | 9/8-12/11-11/9-4/3 | rastmic | 11-odd-limit |
| 5 | 1-11/9-11/8-3/2 | 11/9-9/8-12/11-4/3 | rastmic | 11-odd-limit |
| 6 | 1-12/11-11/9-3/2 | 12/11-9/8-11/9-4/3 | rastmic | 11-odd-limit |
| 7 | 1-9/8-11/9-11/8 | 9/8-12/11-9/8-16/11 | rastmic | 11-odd-limit |
| 8 | 1-19/14-19/12-11/6 | 19/14-7/6-22/19-12/11 | bihendrix | 19-odd-limit |
| 9 | 1-22/19-19/14-11/6 | 22/19-7/6-19/14-12/11 | bihendrix | 19-odd-limit |
| 10 | 1-19/14-11/7-11/6 | 19/14-22/19-7/6-12/11 | bihendrix | 19-odd-limit |
| 11 | 1-7/6-19/14-11/6 | 7/6-22/19-19/14-12/11 | bihendrix | 19-odd-limit |
| 12 | 1-7/6-19/14-19/12 | 7/6-22/19-7/6-24/19 | bihendrix | 19-odd-limit |
| 13 | 1-22/19-19/14-11/7 | 22/19-7/6-22/19-14/11 | bihendrix | 19-odd-limit |
| 14 | 1-11/9-3/2-11/7 | 11/9-11/9-22/21-14/11 | rastmic | 21-odd-limit |
| 15 | 1-11/9-9/7-11/7 | 11/9-22/21-11/9-14/11 | rastmic | 21-odd-limit |
| 16 | 1-22/21-9/7-11/7 | 22/21-11/9-11/9-14/11 | rastmic | 21-odd-limit |
| 17 | 1-11/9-9/7-3/2 | 11/9-22/21-7/6-4/3 | rastmic | 21-odd-limit |
| 18 | 1-7/6-11/9-3/2 | 7/6-22/21-11/9-4/3 | rastmic | 21-odd-limit |
| 19 | 1-9/8-11/9-9/7 | 9/8-12/11-22/21-14/9 | rastmic | 21-odd-limit |
| 20 | 1-22/21-11/9-9/7 | 22/21-7/6-22/21-14/9 | rastmic | 21-odd-limit |
| 21 | 1-22/21-8/7-9/7 | 22/21-12/11-9/8-14/9 | rastmic | 21-odd-limit |
| 22 | 1-19/14-3/2-11/6 | 19/14-21/19-11/9-12/11 | bihendrix | 21-odd-limit |
| 23 | 1-11/9-19/14-11/6 | 11/9-21/19-19/14-12/11 | bihendrix | 21-odd-limit |
| 24 | 1-11/9-19/14-11/7 | 11/9-21/19-22/19-14/11 | bihendrix | 21-odd-limit |
| 25 | 1-22/19-9/7-11/7 | 22/19-21/19-11/9-14/11 | bihendrix | 21-odd-limit |
| 26 | 1-7/6-19/14-3/2 | 7/6-22/19-21/19-4/3 | bihendrix | 21-odd-limit |
| 27 | 1-21/19-19/14-3/2 | 21/19-11/9-21/19-4/3 | bihendrix | 21-odd-limit |
| 28 | 1-21/19-9/7-3/2 | 21/19-22/19-7/6-4/3 | bihendrix | 21-odd-limit |
| 29 | 1-22/19-9/7-19/14 | 22/19-21/19-19/18-28/19 | bihendrix | 21-odd-limit |
| 30 | 1-21/19-9/7-19/14 | 21/19-22/19-19/18-28/19 | bihendrix | 21-odd-limit |
| 31 | 1-7/6-11/9-19/14 | 7/6-22/21-21/19-28/19 | bihendrix | 21-odd-limit |
| 32 | 1-22/19-11/9-19/14 | 22/19-19/18-21/19-28/19 | bihendrix | 21-odd-limit |
| 33 | 1-19/18-11/9-19/14 | 19/18-22/19-21/19-28/19 | bihendrix | 21-odd-limit |
| 34 | 1-19/18-7/6-19/14 | 19/18-21/19-22/19-28/19 | bihendrix | 21-odd-limit |
| 35 | 1-21/19-7/6-19/14 | 21/19-19/18-22/19-28/19 | bihendrix | 21-odd-limit |
| 36 | 1-21/19-22/19-19/14 | 21/19-22/21-7/6-28/19 | bihendrix | 21-odd-limit |
| 37 | 1-21/19-22/19-9/7 | 21/19-22/21-21/19-14/9 | bihendrix | 21-odd-limit |
| 38 | 1-21/19-7/6-11/9 | 21/19-19/18-22/21-18/11 | heartlandismic | 21-odd-limit |
| 39 | 1-21/19-22/19-11/9 | 21/19-22/21-19/18-18/11 | heartlandismic | 21-odd-limit |
| 40 | 1-19/18-21/19-11/9 | 19/18-22/21-21/19-18/11 | heartlandismic | 21-odd-limit |
| 41 | 1-22/21-21/19-11/9 | 22/21-19/18-21/19-18/11 | heartlandismic | 21-odd-limit |
| 42 | 1-19/18-21/19-7/6 | 19/18-22/21-19/18-12/7 | heartlandismic | 21-odd-limit |
| 43 | 1-22/21-21/19-22/19 | 22/21-19/18-22/21-19/11 | heartlandismic | 21-odd-limit |
| 44 | 1-11/9-19/14-3/2 | 11/9-21/19-21/19-4/3 | heartland | 21-odd-limit |
| 45 | 1-21/19-11/9-3/2 | 21/19-21/19-11/9-4/3 | heartland | 21-odd-limit |
| 46 | 1-11/9-9/7-19/14 | 11/9-22/21-19/18-28/19 | heartland | 21-odd-limit |
| 47 | 1-21/19-11/9-19/14 | 21/19-21/19-21/19-28/19 | heartland | 21-odd-limit |
| 48 | 1-19/18-21/19-19/14 | 19/18-22/21-11/9-28/19 | heartland | 21-odd-limit |
| 49 | 1-22/19-11/9-9/7 | 22/19-19/18-22/21-14/9 | heartland | 21-odd-limit |
| 50 | 1-21/19-11/9-9/7 | 21/19-21/19-22/21-14/9 | heartland | 21-odd-limit |
| 51 | 1-22/21-22/19-9/7 | 22/21-21/19-21/19-14/9 | heartland | 21-odd-limit |
| 52 | 1-22/21-21/19-9/7 | 22/21-19/18-22/19-14/9 | heartland | 21-odd-limit |
Pentads
| # | Transversal | Steps | Type | Odd limit |
|---|---|---|---|---|
| 1 | 1-11/9-11/8-3/2-11/6 | 11/9-9/8-12/11-11/9-12/11 | rastmic | 11-odd-limit |
| 2 | 1-9/8-11/8-3/2-11/6 | 9/8-11/9-12/11-11/9-12/11 | rastmic | 11-odd-limit |
| 3 | 1-9/8-11/9-3/2-11/6 | 9/8-12/11-11/9-11/9-12/11 | rastmic | 11-odd-limit |
| 4 | 1-9/8-11/9-11/8-11/6 | 9/8-12/11-9/8-4/3-12/11 | rastmic | 11-odd-limit |
| 5 | 1-9/8-11/9-11/8-3/2 | 9/8-12/11-9/8-12/11-4/3 | rastmic | 11-odd-limit |
| 6 | 1-7/6-19/14-19/12-11/6 | 7/6-22/19-7/6-22/19-12/11 | bihendrix | 19-odd-limit |
| 7 | 1-22/19-19/14-11/7-11/6 | 22/19-7/6-22/19-7/6-12/11 | bihendrix | 19-odd-limit |
| 8 | 1-11/9-3/2-11/7-11/6 | 11/9-11/9-22/21-7/6-12/11 | rastmic | 21-odd-limit |
| 9 | 1-7/6-11/9-3/2-11/6 | 7/6-22/21-11/9-11/9-12/11 | rastmic | 21-odd-limit |
| 10 | 1-11/9-11/8-3/2-11/7 | 1/1-1/1-1/1-1/1-14/11 | rastmic | 21-odd-limit |
| 11 | 1-22/19-9/7-19/14-11/7 | 22/19-21/19-19/18-22/19-14/11 | rastmic | 21-odd-limit |
| 12 | 1-22/19-11/9-19/14-11/7 | 22/19-19/18-21/19-22/19-14/11 | rastmic | 21-odd-limit |
| 13 | 1-22/21-8/7-9/7-11/7 | 1/1-1/1-1/1-1/1-14/11 | rastmic | 21-odd-limit |
| 14 | 1-7/6-11/9-4/3-3/2 | 7/6-22/21-12/11-9/8-4/3 | rastmic | 21-odd-limit |
| 15 | 1-9/8-11/9-9/7-3/2 | 9/8-12/11-22/21-7/6-4/3 | rastmic | 21-odd-limit |
| 16 | 1-19/14-3/2-19/12-11/6 | 19/14-21/19-19/18-22/19-12/11 | bihendrix | 21-odd-limit |
| 17 | 1-19/14-3/2-11/7-11/6 | 19/14-21/19-22/21-7/6-12/11 | bihendrix | 21-odd-limit |
| 18 | 1-11/9-19/14-11/7-11/6 | 11/9-21/19-22/19-7/6-12/11 | bihendrix | 21-odd-limit |
| 19 | 1-7/6-19/14-3/2-11/6 | 7/6-22/19-21/19-11/9-12/11 | bihendrix | 21-odd-limit |
| 20 | 1-7/6-11/9-19/14-11/6 | 7/6-22/21-21/19-19/14-12/11 | bihendrix | 21-odd-limit |
| 21 | 1-22/19-11/9-19/14-11/6 | 22/19-19/18-21/19-19/14-12/11 | bihendrix | 21-odd-limit |
| 22 | 1-7/6-19/14-3/2-19/12 | 7/6-22/19-21/19-19/18-24/19 | bihendrix | 21-odd-limit |
| 23 | 1-19/18-7/6-19/14-19/12 | 19/18-21/19-22/19-7/6-24/19 | bihendrix | 21-odd-limit |
| 24 | 1-22/19-9/7-19/14-11/7 | 22/19-21/19-19/18-22/19-14/11 | bihendrix | 21-odd-limit |
| 25 | 1-22/19-11/9-19/14-11/7 | 22/19-19/18-21/19-22/19-14/11 | bihendrix | 21-odd-limit |
| 26 | 1-21/19-9/7-19/14-3/2 | 21/19-22/19-19/18-21/19-4/3 | bihendrix | 21-odd-limit |
| 27 | 1-21/19-7/6-19/14-3/2 | 21/19-19/18-22/19-21/19-4/3 | bihendrix | 21-odd-limit |
| 28 | 1-21/19-22/19-9/7-19/14 | 21/19-22/21-21/19-19/18-28/19 | bihendrix | 21-odd-limit |
| 29 | 1-19/18-7/6-11/9-19/14 | 19/18-21/19-22/21-21/19-28/19 | bihendrix | 21-odd-limit |
| 30 | 1-19/18-21/19-7/6-11/9 | 19/18-22/21-19/18-22/21-18/11 | heartlandismic | 21-odd-limit |
| 31 | 1-22/21-21/19-22/19-11/9 | 22/21-19/18-22/21-19/18-18/11 | heartlandismic | 21-odd-limit |
| 32 | 1-11/9-19/14-3/2-11/6 | 11/9-21/19-21/19-11/9-12/11 | heartland | 21-odd-limit |
| 33 | 1-11/9-19/14-3/2-11/7 | 11/9-21/19-21/19-22/21-14/11 | heartland | 21-odd-limit |
| 34 | 1-11/9-9/7-19/14-11/7 | 11/9-22/21-19/18-22/19-14/11 | heartland | 21-odd-limit |
| 35 | 1-22/19-11/9-9/7-11/7 | 22/19-19/18-22/21-11/9-14/11 | heartland | 21-odd-limit |
| 36 | 1-22/21-22/19-9/7-11/7 | 22/21-21/19-21/19-11/9-14/11 | heartland | 21-odd-limit |
| 37 | 1-11/9-9/7-19/14-3/2 | 11/9-22/21-19/18-21/19-4/3 | heartland | 21-odd-limit |
| 38 | 1-7/6-11/9-19/14-3/2 | 7/6-22/21-21/19-21/19-4/3 | heartland | 21-odd-limit |
| 39 | 1-21/19-11/9-19/14-3/2 | 21/19-21/19-21/19-21/19-4/3 | heartland | 21-odd-limit |
| 40 | 1-21/19-11/9-9/7-3/2 | 21/19-21/19-22/21-7/6-4/3 | heartland | 21-odd-limit |
| 41 | 1-21/19-7/6-11/9-3/2 | 21/19-19/18-22/21-11/9-4/3 | heartland | 21-odd-limit |
| 42 | 1-22/19-11/9-9/7-19/14 | 22/19-19/18-22/21-19/18-28/19 | heartland | 21-odd-limit |
| 43 | 1-21/19-11/9-9/7-19/14 | 21/19-21/19-22/21-19/18-28/19 | heartland | 21-odd-limit |
| 44 | 1-21/19-7/6-11/9-19/14 | 21/19-19/18-22/21-21/19-28/19 | heartland | 21-odd-limit |
| 45 | 1-21/19-22/19-11/9-19/14 | 21/19-22/21-19/18-21/19-28/19 | heartland | 21-odd-limit |
| 46 | 1-19/18-21/19-11/9-19/14 | 19/18-22/21-21/19-21/19-28/19 | heartland | 21-odd-limit |
| 47 | 1-19/18-21/19-7/6-19/14 | 19/18-22/21-19/18-22/19-28/19 | heartland | 21-odd-limit |
| 48 | 1-21/19-22/19-11/9-9/7 | 21/19-22/21-19/18-22/21-14/9 | heartland | 21-odd-limit |
| 49 | 1-22/21-22/19-11/9-9/7 | 22/21-21/19-19/18-22/21-14/9 | heartland | 21-odd-limit |
| 50 | 1-22/21-21/19-11/9-9/7 | 22/21-19/18-21/19-22/21-14/9 | heartland | 21-odd-limit |
| 51 | 1-22/21-21/19-22/19-9/7 | 22/21-19/18-22/21-21/19-14/9 | heartland | 21-odd-limit |
Hexads
| # | Transversal | Steps | Type | Odd limit |
|---|---|---|---|---|
| 1 | 1-9/8-11/9-11/8-3/2-11/6 | 9/8-12/11-9/8-12/11-11/9-12/11 | rastmic | 11-odd-limit |
| 2 | 1-11/9-11/8-3/2-11/7-11/6 | 11/9-9/8-12/11-22/21-7/6-12/11 | rastmic | 21-odd-limit |
| 3 | 1-9/8-11/8-3/2-7/4-11/6 | 9/8-11/9-12/11-7/6-22/21-12/11 | rastmic | 21-odd-limit |
| 4 | 1-7/6-19/14-3/2-19/12-11/6 | 7/6-22/19-21/19-19/18-22/21-12/11 | bihendrix | 21-odd-limit |
| 5 | 1-22/19-11/9-19/14-11/7-11/6 | 22/19-19/18-21/19-22/19-7/6-12/11 | bihendrix | 21-odd-limit |
| 6 | 1-11/9-19/14-3/2-11/7-11/6 | 11/9-21/19-21/19-22/21-7/6-12/11 | heartland | 21-odd-limit |
| 7 | 1-7/6-11/9-19/14-3/2-11/6 | 7/6-22/21-21/19-21/19-11/9-12/11 | heartland | 21-odd-limit |
| 8 | 1-11/9-9/7-19/14-3/2-11/7 | 11/9-22/21-19/18-21/19-22/21-14/11 | heartland | 21-odd-limit |
| 9 | 1-22/19-11/9-9/7-19/14-11/7 | 22/19-19/18-22/21-19/18-22/19-14/11 | heartland | 21-odd-limit |
| 10 | 1-22/21-22/19-11/9-9/7-11/7 | 22/21-21/19-19/18-22/21-11/9-14/11 | heartland | 21-odd-limit |
| 11 | 1-21/19-11/9-9/7-19/14-3/2 | 21/19-21/19-22/21-19/18-21/19-4/3 | heartland | 21-odd-limit |
| 12 | 1-21/19-7/6-11/9-19/14-3/2 | 21/19-19/18-22/21-21/19-21/19-4/3 | heartland | 21-odd-limit |
| 13 | 1-21/19-22/19-11/9-9/7-19/14 | 21/19-22/21-19/18-22/21-19/18-28/19 | heartland | 21-odd-limit |
| 14 | 1-19/18-21/19-7/6-11/9-19/14 | 19/18-22/21-19/18-22/21-21/19-28/19 | heartland | 21-odd-limit |
| 15 | 1-22/21-21/19-22/19-11/9-9/7 | 22/21-19/18-22/21-19/18-22/21-14/9 | heartland | 21-odd-limit |