Heartland

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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

See also: No-fives 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)

See also: Breed family § Jove

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

See also: Tetracot family § 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

See also: Schismatic family § Sesquiquartififths

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

See also: Schismatic family § Sesquiquartififths

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

See also: Schismatic family § Sesquiquartififths

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

See also: Tetracot family § 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

See also: Tetracot family § 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

See also: Tetracot family § 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

Interval lattice of heartland

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 scales.png

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

See also

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