User:Eufalesio/Important Tables

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Data I deem important! Note on shorthand: sk = k/(k-1)

Recommended tunings of Ultimate r3 (septisperasmic - septifantasious)

The 31-limit is provided with 23 in italic because it isn't part of the temperament, but is intended to be used for prime mappings in Scale workshop. 23 is there so that scale workshop doesn't go bonkers when you accidentally input the mapping for 29 in the 23 slot.

Least error 13-limit:

The best setting for general performance in the 13-limit. Error is going to be concentrated in the chain of fifths either way so at that point it's better to make all primes have minimal error. It also performs good with 19/16, and is basically identical to CE olympic. It's my standard tuning of choice for Ultimate in most occassions because the 13-limit most important to me.

  • PrimeMapping(2, 1902.23, 2786.275, 3368.78, 4151.29, 4440.485, 4905.31, 5097.425, 23, 5830.53, 5946.14)
  • Generators: 1200., 702.23, 386.275
  • (P8, P5, SP1, ^P1): 1200, 702.23, 26.76, 4.115

CWE 19-limit

Detuning the basis a tiny bit so that septisperasmic 17/16 can be a bit purer. Error is still kept minimal for the yazalathana, though it can be used as a slight compromise for the rest of the primes.

  • PrimeMapping(2, 1902.228, 2786.238, 3368.811, 4151.239, 4440.495, 4905.104, 5097.377, 23, 5830.404, 5946.)
  • Generators: 1200., 702.228, 386.238
  • (P8, P5, SP1, ^P1): 1200, 702.228, 26.736, 4.062

CWE 31-limit

  • PrimeMapping(2, 1902.22, 2786.218, 3368.927, 4151.049, 4440.416, 4904.8, 5097.316, 23, 5830.144, 5945.681)
  • Generators: 1200., 702.22, 386.218
  • (P8, P5, SP1, ^P1): 1200, 702.22, 26.64, 3.978

I don't recommend tempering octaves in Ultimate because error is already close to 0 in the 13-limit except for p3. For the rest of more compromised tunings, error is messy and tweaking octaves does close to nothing. Essentially, touch ~3 and ~5, not 2.

Temperament properties of septischismic temperaments (I care about)

Common properties of all Ultimate:

  • 531441/524288 ≈ s64 ≈ s65 ≈ s66 (S64, S65, sasaruma)
  • 2187/2048 ≈ 77/72 (19712/19683)
  • 1029/1024 ≈ 243/242 (41503/41472 = S49·S55)
  • s64^2 ≈ s33 (olympia)
  • s76 ≈ s77 ≈ s78 ≈ s81 (s2080 = S78·S79·S80, S76, S77)
  • s325 ≈ s352 ≈ s361 ≈ s385 ≈ s512 ≈ s540 ≈ 5120/5103 ≈ 32805/32768 (S64, S65, 1216/1215)
  • S16 ≈ S18 (1216/1215)
  • S19 ≈ S20 ≈ S27
  • S26 ≈ S39
  • S34 ≈ S51
  • S49 ≈ S56

Septifantasious:

  • 2187/2048 ≈ 77/72 ≈ 31/29 (19712/19683, 2233/2232)
  • s50 ≈ s51 ≈ s57 ≈ s58 (S50, S57)
  • S26 ≈ S33 ≈ S39
  • S28 ≈ S30 ≈ S32 ≈ S35 ≈ S49 ≈ S56
  • S29 ≈ S31

217 & 270 & 311: Ultimate {S49·S55, S64, S65} = {s2080, s4096, 35035/34992}

  • 270 & 311: Newt {S49, S55, S64, S65} = {s2080, s2401, s3025, s4096}; supported trivially by 41edo
  • 94 & 270: Gariwizmic {S11/S12, S64, S65, S99) = {s1716, s2080, s4096, 35035/34992}; supported trivially by 94edo
  • 41 & 217: Cotoneum {S21, S28²·S29, S64, S65} = {s364, s441, s2080, s4096}; supported trivially by 41edo
  • 41 & 53: Cassandra {S25*S26, S15, S64, S65} = {s225, s325, s352, s385}; supported trivially by 12e
    • 270: {S49, S55, S64, S65, S99} = {s1001, s2401, s2080, s3025, s4096}
    • 94: {S15, S11/S12, S64, S65, S99} = {s225, s325, s352, s385, s1716}
    • 12e: {S8, S9, S15, S64, S65} = {s22, s50, s64, s65, s81}

Which can implicitly be seen in this table:

Newt Gariwizmic Cotoneum Ultimate r3
Cassandra Vulture
311 41 53 12e 94 270 217 41
S64
S65
S76
S77
S49 S26 S8 S99 S21 –
S25 S15 S26 S14 –

Any other join of Ultimate edos is ommited because I either don't know or don't care.

Table of Ultimate edos' intervals

A good and regular set of intervals I care about. Doesn't include all, but many things.

15-odd-limit ratios
94edo Ratios 217edo Ratios 270edo Ratios Ultimate r3 13-limit optimum
1 9 114.89 16/15 2 20 110.6 16/15 2 25 111.1 16/15 8.23 vSm2 111.495
15/14 1 22 121.66 15/14 2 27 120 15/14 8.57 ^Sm2 119.725
1 10 127.66 14/13 2 23 127.19 14/13 2 29 128.8 14/13 9.96 ^Smm2 128.295
1 11 140.43 13/12 2 25 138.25 13/12 3 31 137.7 13/12 12.685 vHm2 138.255
1 12 153.19 12/11 3 27 149.31 12/11 3 34 151.1 12/11 14.075 hM2 150.94
1 13 165.96 11/10 3 30 165.9 11/10 4 37 164.4 11/10 16.8 vrsM2 165.015
2 14 178.72 10/9 4 33 182.49 10/9 5 41 182.2 10/9 22.645 ^sM2 181.815
2 16 204.26 9/8 5 37 204.61 9/8 6 46 204.4 9/8 26.76 M2 204.46
1 18 229.79 8/7 3 42 232.26 8/7 4 52 231.1 8/7 16.8 SM2 231.22
2 19 242.55 15/13 3 45 248.85 15/13 4 56 248.8 15/13 18.53 ^^rSM2 248.02
2 21 268.09 7/6 4 48 265.44 7/6 5 60 266.6 7/6 22.645 sm3 266.55
2 23 293.62 13/11 5 52 287.56 13/11 6 65 288.8 13/11 26.76 vm3 289.195
2 25 319.15 6/5 6 57 315.21 6/5 7 71 315.5 6/5 30.875 vSm3 315.955
1 27 344.68 11/9 2 63 348.39 11/9 4 78 346.6 11/9 12.685 Hm3 346.83
2 28 357.45 16/13 5 65 359.45 16/13 6 81 360.0 16/13 26.76 ^hM3 359.515
3 30 382.98 5/4 5 70 387.1 5/4 7 87 386.6 5/4 31.215 ^sM3 386.275
1 33 421.28 14/11 4 75 414.75 14/11 4 94 417.7 14/11 18.19 SmM3 417.49
2 34 434.04 9/7 4 79 436.87 9/7 4 98 435.5 9/7 18.53 SM3 435.68
3 36 459.57 13/10 8 82 453.46 13/10 10 102 453.3 13/10 43.56 vvHM3 454.21
3 39 497.87 4/3 7 90 497.7 4/3 9 112 497.7 4/3 39.445 P4 497.77
1 42 536.17 15/11 3 97 536.41 15/11 3 121 537.7 15/11 14.075 ^SmP4 537.215
1 43 548.94 11/8 2 100 553.0 11/8 3 124 551.1 11/8 12.685 HP4 551.29
2 44 561.7 18/13 3 102 564.06 18/13 4 127 564.4 18/13 18.53 ^hTT 563.975
2 46 587.23 7/5 7 105 580.65 7/5 8 131 582.2 7/5 34.99 vsTT 582.505
2 48 612.77 10/7 3 112 619.35 10/7 4 139 617.7 10/7 18.53 vTT 617.495
1 50 638.3 13/9 2 115 635.94 13/9 3 143 635.5 13/9 12.685 ^STT 636.025
1 51 651.06 16/11 3 117 647.0 16/11 3 146 648.8 16/11 14.075 hP5 648.71
3 52 663.83 22/15 7 120 663.59 22/15 9 149 662.2 22/15 39.445 vrsP5 662.785
3 55 702.13 3/2 8 127 702.3 3/2 10 158 702.2 3/2 43.56 P5 702.23
2 58 740.43 20/13 4 135 746.54 20/13 4 168 746.6 20/13 18.53 ^^hm6 745.79
1 60 765.96 14/9 4 138 763.13 14/9 4 172 764.4 14/9 18.19 sm6 764.32
3 61 778.72 11/7 5 142 785.25 11/7 5 176 782.2 11/7 31.215 sMm6 782.51
2 64 817.02 8/5 5 147 812.9 8/5 6 183 813.3 8/5 26.76 vSm6 813.725
1 66 842.55 13/8 2 152 840.55 13/8 3 189 840.0 13/8 12.685 vHm6 840.485
2 67 855.32 18/11 6 154 851.61 18/11 7 192 853.3 18/11 30.875 hM6 853.17
2 69 880.85 5/3 5 160 884.79 5/3 6 199 884.4 5/3 26.76 ^sm6 884.045
2 71 906.38 22/13 5 165 912.44 22/13 5 205 911.1 22/13 22.645 ^M6 910.805
2 73 931.91 12/7 4 169 934.56 12/7 4 210 933.3 12/7 18.53 SM6 933.45
1 75 957.45 26/15 4 172 951.15 26/15 4 214 951.1 26/15 16.8 vvrsm7 951.98
2 76 970.21 7/4 6 175 967.74 7/4 6 218 968.8 7/4 26.76 sm7 968.78
2 78 995.74 16/9 5 180 995.39 16/9 5 224 995.5 16/9 22.645 m7 995.54
1 80 1021.28 9/5 4 184 1017.51 9/5 4 229 1017.7 9/5 16.8 vSm7 1018.185
1 81 1034.04 20/11 4 187 1034.1 20/11 4 233 1035.5 20/11 14.075 ^rSm7 1034.985
1 82 1046.81 11/6 3 190 1050.69 11/6 3 236 1048.8 11/6 12.685 Hm7 1049.06
1 83 1059.57 24/13 2 192 1061.75 24/13 2 239 1062.2 24/13 9.96 ^hM7 1061.745
1 84 1072.34 13/7 2 194 1072.81 13/7 2 241 1071.1 13/7 8.57 vrsM7 1071.705
0 85 1085.11 28/15 2 195 1078.34 28/15 2 243 1080.0 28/15 8.23 vsM7 1080.275
15/8 197 1089.4 15/8 245 1088.8 15/8 ^sM7 1088.505

Table of 270edo's yazalatha 225-odd-limit

Almost consistent to distance 2. Covers the whole gamut except 6 edostep-classes in almost pure 13-limit glory, only inconsistency is 225/169 which is ~4/3 here. Incredible.

270edo yazalatha 225-odd-limit
Tredeks Cents Ratios
1 4.4 –
2 8.8 225/224, 196/195, 176/175, 169/168
3 13.3 144/143, 126/125, 121/120
4 17.7 105/104, 100/99, 99/98, 91/90
5 22.2 81/80, 78/77
6 26.6 66/65, 65/64, 64/63
7 31.1 56/55, 55/54
8 35.5 50/49, 49/48, 143/140
9 40.0 45/44, 128/125, 169/165
10 44.4 40/39, 77/75
11 48.8 147/143, 36/35
12 53.3 33/32, 65/63
13 57.7 125/121, 91/88, 121/117
14 62.2 175/169, 28/27
15 66.6 27/26, 80/77, 26/25
16 71.1 126/121, 176/169, 25/24, 169/162
17 75.5 117/112
18 80.0 22/21
19 84.4 150/143, 21/20, 104/99
20 88.8 81/77
21 93.3 135/128, 96/91, 132/125, 169/160
22 97.7 55/52, 128/121, 200/189, 143/135
23 102.2 35/33, 52/49
24 106.6 117/110
25 111.1 180/169, 16/15
26 115.5 125/117, 77/72
27 120.0 15/14
28 124.4 189/176, 130/121, 242/225
29 128.8 14/13
30 133.3 27/25, 175/162, 121/112
31 137.7 225/208, 13/12
32 142.2 88/81
33 146.6 99/91, 160/147, 49/45
34 151.1 12/11
35 155.5 35/32, 128/117
36 160.0 192/175, 169/154
37 164.4 100/91, 11/10, 208/189
38 168.8 54/49, 182/165
39 173.3 –
40 177.7 72/65, 195/176
41 182.2 10/9
42 186.6 49/44, 39/35
43 191.1 135/121, 125/112, 143/128
44 195.5 189/169, 160/143, 28/25, 121/108
45 200.0 175/156, 55/49, 91/81
46 204.4 9/8, 169/150
47 208.8 44/39
48 213.3 147/130, 112/99, 198/175
49 217.7 162/143, 143/126
50 222.2 192/169, 25/22, 91/80, 256/225
51 226.6 154/135
52 231.1 8/7, 143/125
53 235.5 63/55, 55/48
54 240.0 225/196, 147/128, 224/195, 169/147
55 244.4 144/125, 121/105
56 248.8 15/13, 52/45
57 253.3 140/121, 81/70, 125/108
58 257.7 196/169, 65/56
59 262.2 121/104, 64/55, 220/189
60 266.6 7/6
61 271.1 90/77, 117/100
62 275.5 198/169, 75/64, 88/75, 169/144
63 280.0 168/143, 147/125
64 284.4 33/28
65 288.8 189/160, 13/11
66 293.3 200/169, 77/65, 32/27
67 297.7 108/91, 196/165, 208/175
68 302.2 144/121, 25/21, 143/120
69 306.6 105/88, 117/98
70 311.1 140/117, 176/147
71 315.5 6/5
72 320.0 125/104, 77/64, 65/54
73 324.4 135/112, 169/140
74 328.8 110/91, 98/81, 121/100
75 333.3 63/52, 40/33, 91/75
76 337.7 147/121, 175/144
77 342.2 39/32, 128/105
78 346.6 11/9
79 351.1 175/143, 60/49, 49/40
80 355.5 27/22
81 360.0 16/13, 154/125
82 364.4 216/175, 100/81, 121/98
83 368.8 225/182, 99/80, 26/21
84 373.3 150/121, 242/195
85 377.7 210/169, 56/45
86 382.2 81/65, 96/77, 156/125
87 386.6 5/4, 169/135
88 391.1 –
89 395.5 49/39, 44/35
90 400.0 180/143, 63/50, 121/96, 208/165
91 404.4 125/99, 91/72
92 408.8 81/64, 195/154
93 413.3 33/26, 80/63, 286/225
94 417.7 14/11
95 422.2 125/98, 143/112
96 426.6 216/169, 225/176, 32/25, 169/132, 242/189
97 431.1 50/39, 77/60, 104/81
98 435.5 9/7
99 440.0 165/128, 156/121
100 444.4 84/65, 128/99
101 448.8 162/125, 35/27
102 453.3 135/104, 100/77, 13/10
103 457.7 220/169, 125/96, 176/135
104 462.2 64/49, 98/75
105 466.6 72/55, 55/42
106 471.1 21/16, 256/195, 130/99
107 475.5 154/117
108 480.0 120/91, 33/25, 169/128
109 484.4 189/143, 160/121, 250/189, 143/108
110 488.8 224/169, 175/132, 65/49
111 493.3 117/88, 121/91
112 497.7 225/169, 4/3
113 502.2 147/110, 234/175
114 506.6 162/121, 75/56, 169/126
115 511.1 192/143, 168/125, 121/90
116 515.5 35/26, 66/49, 182/135
117 520.0 27/20, 104/77, 169/125
118 524.4 88/65, 65/48, 256/189
119 528.8 224/165, 110/81
120 533.3 200/147, 49/36, 143/105
121 537.7 15/11
122 542.2 175/128, 160/117, 308/225
123 546.6 196/143, 48/35
124 551.1 125/91, 11/8, 260/189
125 555.5 135/98, 91/66
126 560.0 112/81, 242/175
127 564.4 18/13, 104/75
128 568.8 168/121, 25/18
129 573.3 39/28
130 577.7 169/121, 88/63
131 582.2 200/143, 7/5
132 586.6 108/77
133 591.1 45/32, 128/91, 176/125, 169/120
134 595.5 55/39
135 600.0 147/104, 140/99, 99/70, 208/147
136 604.4 78/55
137 608.8 240/169, 125/88, 91/64, 64/45
138 613.3 77/54
139 617.7 10/7, 143/100
140 622.2 63/44, 242/169
141 626.6 56/39
142 631.1 36/25, 121/84
143 635.5 75/52, 13/9
144 640.0 175/121, 81/56
145 644.4 132/91, 196/135
146 648.8 189/130, 16/11, 182/125
147 653.3 35/24, 143/98
148 657.7 225/154, 117/80, 256/175
149 662.2 22/15
150 666.6 210/143, 72/49, 147/100
151 671.1 81/55, 165/112
152 675.5 189/128, 96/65, 65/44
153 680.0 250/169, 77/52, 40/27
154 684.4 135/91, 49/33, 52/35
155 688.8 180/121, 125/84, 143/96
156 693.3 252/169, 112/75, 121/81
157 697.7 175/117, 220/147
158 702.2 3/2, *338/225
159 706.6 182/121, 176/117
160 711.1 98/65, 264/175, 169/112
161 715.5 216/143, 189/125, 121/80, 286/189
162 720.0 256/169, 50/33, 91/60
163 724.4 117/77
164 728.8 99/65, 195/128, 32/21
165 733.3 84/55, 55/36
166 737.7 75/49, 49/32
167 742.2 135/88, 192/125, 169/110
168 746.6 20/13, 77/50, 208/135
169 751.1 54/35, 125/81
170 755.5 99/64, 65/42
171 760.0 121/78, 256/165
172 764.4 14/9
173 768.8 81/52, 120/77, 39/25
174 773.3 189/121, 264/169, 25/16, 352/225, 169/108
175 777.7 224/143, 196/125
176 782.2 11/7
177 786.6 225/143, 63/40, 52/33
178 791.1 308/195, 128/81
179 795.5 144/91, 198/125
180 800.0 165/104, 192/121, 100/63, 143/90
181 804.4 35/22, 78/49
182 808.8 –
183 813.3 270/169, 8/5
184 817.7 125/78, 77/48, 130/81
185 822.2 45/28, 169/105
186 826.6 195/121, 121/75
187 831.1 21/13, 160/99, 364/225
188 835.5 196/121, 81/50, 175/108
189 840.0 125/77, 13/8
190 844.4 44/27
191 848.8 80/49, 49/30, 286/175
192 853.3 18/11
193 857.7 105/64, 64/39
194 862.2 288/175, 242/147
195 866.6 150/91, 33/20, 104/63
196 871.1 200/121, 81/49, 91/55
197 875.5 280/169, 224/135
198 880.0 108/65, 128/77, 208/125
199 884.4 5/3
200 888.8 147/88, 117/70
201 893.3 196/117, 176/105
202 897.7 240/143, 42/25, 121/72
203 902.2 175/104, 165/98, 91/54
204 906.6 27/16, 130/77, 169/100
205 911.1 22/13, 320/189
206 915.5 56/33
207 920.0 250/147, 143/84
208 924.4 288/169, 75/44, 128/75, 169/99
209 928.8 200/117, 77/45
210 933.3 12/7
211 937.7 189/110, 55/32, 208/121
212 942.2 112/65, 169/98
213 946.6 216/125, 140/81, 121/70
214 951.1 45/26, 26/15
215 955.5 210/121, 125/72
216 960.0 294/169, 195/112, 256/147, 392/225
217 964.4 96/55, 110/63
218 968.8 250/143, 7/4
219 973.3 135/77
220 977.7 225/128, 160/91, 44/25, 169/96
221 982.2 252/143, 143/81
222 986.6 175/99, 99/56, 260/147
223 991.1 39/22
224 995.5 300/169, 16/9
225 1000.0 162/91, 98/55, 312/175
226 1004.4 216/121, 25/14, 143/80, 338/189
227 1008.8 256/143, 224/125, 242/135
228 1013.3 70/39, 88/49
229 1026.6 9/5
230 1022.2 352/195, 65/36
231 1026.6 –
232 1031.1 165/91, 49/27
233 1035.5 189/104, 20/11, 91/50
234 1040.0 308/169, 175/96
235 1044.4 117/64, 64/35
236 1048.8 11/6
237 1053.3 90/49, 147/80, 182/99
238 1057.7 81/44
239 1062.2 24/13, 416/225
240 1066.6 224/121, 324/175, 50/27
241 1071.1 13/7
242 1075.5 225/121, 121/65, 352/189
243 1080.0 28/15
244 1084.4 144/77, 234/125
245 1088.8 15/8, 169/90
246 1093.3 220/117
247 1097.7 49/26, 66/35
248 1102.2 270/143, 189/100, 121/64, 104/55
249 1106.6 320/169, 125/66, 91/48, 256/135
250 1111.1 154/81
251 1115.5 99/52, 40/21, 143/75
252 1120.0 21/11
253 1124.4 224/117
254 1128.8 324/169, 48/25, 169/88, 121/63
255 1133.3 25/13, 77/40, 52/27
256 1137.7 27/14, 338/175
257 1142.2 234/121, 176/91, 242/125
258 1146.6 126/65, 64/33
259 1151.1 35/18, 286/147
260 1155.5 150/77, 39/20
261 1160.0 330/169, 125/64, 88/45
262 1164.4 280/143, 96/49, 49/25
263 1168.8 108/55, 55/28
264 1173.3 63/32, 128/65, 65/33
265 1177.7 77/39, 160/81
266 1182.2 180/91, 196/99, 99/50, 208/105
267 1186.6 240/121, 125/63, 143/72
268 1191.1 336/169, 175/88, 195/98, 448/225
269 1195.5 –
270 1200 2/1

Table of prime-generated MOS scales

Bolded has an equalized tuning with a telic convergent. Ending sequence at the biggest telic convergent below a thousand. The reason for doing this is that MOSes with record low softness have equalized tunings with convergent primes. MOSes with a hyperlink represent equalized tunings I deem good. I wouldn't use most of them, but they are good. If the hyperlink is in italics it means that it is a multiple that whose prime is convergent, but no longer telic.

Also note how p3 has the the shortest length out of all the primes. Shoutout to p11, it manages to build some good scales up until 37edo, on which it basically hits a dead end. Luckily its triple, 111edo, is very solid. Also 10edo, which basically reaches near-perfection on p13 and 15/14, for which 270edo is one of the best detempers.

Generation \ Prime 31 17 29 7 19 13 5 3 11 23
Eve 1L 1s 1L 1s
1st filial scale 1L 2s 1L 2s 2L 1s
2nd filial scale 1L 3s 1L 3s 3L 1s 2L 3s 2L 3s
3rd filial scale 1L 4s 1L 4s 4L 1s 3L 4s 3L 4s 5L 2s 2L 5s
4th filial scale 1L 5s 5L 1s 4L 5s 7L 3s 3L 7s 5L 7s 2L 7s
5th filial scale 1L 6s 1L 6s 5L 6s 4L 9s 10L 7s 3L 10s 12L 5s 2L 9s
6th filial scale 1L 7s 7L 1s 5L 11s 4L 13s 10L 17s 3L 13s 12L 17s 11L 2s 2L 11s
7th filial scale 1L 8s 7L 8s 5L 16s 4L 17s 10L 27s 3L 16s 12L 29s 13L 11s 2L 13s
8th filial scale 1L 9s 7L 15s 5L 21s 4L 21s 10L 37s 3L 19s 41L 12s 24L 13s 2L 15s
9th filial scale 1L 10s 1L 10s 7L 22s 26L 5s 4L 25s 10L 47s 3L 22s 53L 41s 37L 24s 2L 17s
10th filial scale 1L 11s 11L 1s 7L 29s 26L 31s 4L 29s 10L 57s 3L 25s 53L 94s 37L 61s 2L 19s
11st filial scale 1L 12s 11L 12s 7L 36s 26L 57s 4L 33s 10L 67s 28L 3s 53L 147s 37L 98s 21L 2s
12nd filial scale 1L 13s 23L 34s 7L 43s 26L 57s 4L 37s 10L 77s 28L 31s 53L 200s 37L 135s 21L 23s
13rd filial scale 1L 14s 23L 57s 7L 50s 26L 83s 4L 41s 10L 87s 59L 28s 53L 253s 37L 172s 21L 44s
14th filial scale 1L 15s 80L 23s 7L 57s 26L 83s 4L 45s 10L 97s 59L 87s 306L 53s 37L 209s 21L 65s
15th filial scale 1L 16s 80L 103s 7L 64s 109L 26s 4L 49s 10L 107s 146L 59s 306L 359s 37L 246s 21L 86s
16th filial scale 1L 17s 80L 183s 7L 71s 109L 135s 4L 53s 10L 117s 146L 205s 37L 283s 21L 107s
17th filial scale 1L 18s 263L 80s 7L 78s 109L 244s 4L 57s 10L 127s 146L 351s 37L 320s 21L 128s
18th filial scale 1L 19s 7L 85s 109L 353s 4L 61s 10L 137s 146L 497s 37L 357s 21L 149s
19th filial scale 1L 20s 7L 92s 109L 462s 4L 65s 10L 147s 37L 394s 21L 170s
20th filial scale 21L 1s 7L 99s 4L 69s 10L 157s 37L 431s
21st filial scale 22L 21s 7L 106s 4L 73s 10L 167s 37L 468s
22nd filial scale 22L 43s 7L 113s 4L 77s 10L 177s 37L 505s
23rd filial scale 22L 65s 7L 120s 4L 81s 10L 187s 37L 542s
24th filial scale 22L 87s 7L 127s 4L 85s 10L 197s 37L 579s
25th filial scale 22L 109s 7L 134s 4L 89s 10L 207s 37L 616s
26th filial scale 7L 141s 4L 93s 10L 217s 37L 653s
27th filial scale 7L 148s 4L 97s 37L 690s
28th filial scale 7L 155s 4L 101s 37L 727s
29th filial scale 7L 162s 4L 105s 37L 764s
30th filial scale 169L 7s 4L 109s 37L 801s
31st filial scale 169L 176s 4L 113s 37L 838s
32nd filial scale 169L 345s 117L 4s 37L 875s
33rd filial scale 169L 514s 37L 912s
34th filial scale 852L 169s 37L 949s