124edo: Difference between revisions

Revision as of 11:38, 24 April 2021

124edo is the equal division of the octave into 124 parts of 9.6774 cents each. It is closely related to 31edo, but the patent vals differ on the mapping for 3. It tempers out 2048/2025 (diaschisma) and 19073486328125/18075490334784 in the 5-limit. Using the patent val, it tempers out 3136/3125, 4000/3969, and 33614/32805 in the 7-limit; 385/384, 1232/1215, 1331/1323, and 3773/3750 in the 11-limit; 196/195, 364/363, 572/567, 625/624, and 1001/1000 in the 13-limit.

124 EDO Table of Intervals
Step	Cents	Ratio	JI Ratio Approximations
0	0.0	1.0	1/1
1	9.6774	1.0056
2	19.3548	1.0112	65/64
3	29.0323	1.0169	65/64
4	38.7097	1.0226	65/64, 33/32
5	48.3871	1.0283	33/32
6	58.0645	1.0341	33/32, 24/23
7	67.7419	1.0399	24/23, 23/22, 67/64, 22/21, 33/32
8	77.4194	1.0457	23/22, 67/64, 22/21, 24/23, 21/20, 20/19
9	87.0968	1.0516	20/19, 21/20, 19/18, 22/21, 67/64, 23/22, 18/17, 24/23
10	96.7742	1.0575	18/17, 19/18, 20/19, 17/16, 21/20, 16/15
11	106.4516	1.0634	17/16, 16/15, 18/17, 19/18, 15/14
12	116.129	1.0694	15/14, 16/15, 17/16, 14/13, 69/64
13	125.8065	1.0754	14/13, 69/64, 15/14, 13/12, 16/15
14	135.4839	1.0814	13/12, 69/64, 14/13, 25/23, 12/11
15	145.1613	1.0875	25/23, 12/11, 13/12, 35/32, 23/21, 69/64
16	154.8387	1.0936	35/32, 23/21, 12/11, 11/10, 25/23
17	164.5161	1.0997	11/10, 23/21, 21/19, 35/32, 12/11, 71/64
18	174.1935	1.1059	21/19, 71/64, 10/9, 11/10
19	183.871	1.1121	10/9, 71/64, 19/17, 21/19
20	193.5484	1.1183	19/17, 9/8, 10/9, 71/64
21	203.2258	1.1246	9/8, 26/23, 19/17, 17/15
22	212.9032	1.1309	26/23, 17/15, 25/22, 9/8, 73/64
23	222.5806	1.1372	25/22, 73/64, 17/15, 8/7, 26/23
24	232.2581	1.1436	8/7, 73/64, 23/20, 25/22, 15/13, 17/15
25	241.9355	1.15	23/20, 15/13, 37/32, 8/7, 22/19, 73/64
26	251.6129	1.1564	37/32, 22/19, 15/13, 23/20, 7/6
27	261.2903	1.1629	7/6, 22/19, 37/32, 75/64, 15/13
28	270.9677	1.1694	75/64, 7/6, 27/23, 20/17
29	280.6452	1.176	20/17, 27/23, 75/64, 13/11, 7/6
30	290.3226	1.1826	13/11, 19/16, 20/17, 25/21, 27/23, 75/64
31	300.0	1.1892	25/21, 19/16, 13/11, 6/5
32	309.6774	1.1959	6/5, 25/21, 77/64, 19/16
33	319.3548	1.2026	77/64, 6/5, 23/19
34	329.0323	1.2093	23/19, 17/14, 77/64, 28/23, 6/5, 39/32
35	338.7097	1.2161	28/23, 17/14, 39/32, 23/19, 11/9, 27/22
36	348.3871	1.2229	11/9, 39/32, 27/22, 28/23, 16/13, 17/14
37	358.0645	1.2298	16/13, 27/22, 79/64, 21/17, 11/9, 26/21, 39/32
38	367.7419	1.2367	21/17, 26/21, 79/64, 16/13, 27/22
39	377.4194	1.2436	26/21, 5/4, 21/17, 79/64
40	387.0968	1.2506	5/4
41	396.7742	1.2576	24/19, 5/4, 81/64, 19/15
42	406.4516	1.2646	81/64, 24/19, 19/15, 14/11
43	416.129	1.2717	14/11, 19/15, 23/18, 81/64, 24/19, 41/32
44	425.8065	1.2788	23/18, 41/32, 14/11, 9/7
45	435.4839	1.286	9/7, 41/32, 22/17, 23/18, 83/64
46	445.1613	1.2932	22/17, 83/64, 13/10, 9/7, 30/23
47	454.8387	1.3005	13/10, 83/64, 30/23, 22/17, 17/13, 21/16
48	464.5161	1.3078	17/13, 30/23, 21/16, 13/10, 25/19, 83/64
49	474.1935	1.3151	25/19, 21/16, 17/13, 30/23
50	483.871	1.3225	85/64, 25/19, 21/16, 4/3
51	493.5484	1.3299	85/64, 4/3
52	503.2258	1.3373	4/3, 43/32, 85/64
53	512.9032	1.3448	43/32, 27/20, 23/17, 4/3, 19/14
54	522.5806	1.3524	23/17, 27/20, 19/14, 87/64, 43/32, 15/11
55	532.2581	1.3599	87/64, 19/14, 15/11, 23/17, 26/19, 27/20
56	541.9355	1.3676	26/19, 15/11, 11/8, 87/64, 19/14
57	551.6129	1.3752	11/8, 26/19, 18/13, 15/11
58	561.2903	1.3829	18/13, 25/18, 89/64, 11/8, 32/23
59	570.9677	1.3907	89/64, 32/23, 25/18, 18/13, 7/5
60	580.6452	1.3985	7/5, 32/23, 45/32, 89/64, 25/18
61	590.3226	1.4063	45/32, 24/17, 7/5, 17/12
62	600.0	1.4142	17/12, 24/17, 27/19, 91/64, 45/32
63	609.6774	1.4221	91/64, 27/19, 17/12, 10/7, 24/17, 33/23
64	619.3548	1.4301	10/7, 33/23, 23/16, 91/64, 27/19
65	629.0323	1.4381	23/16, 33/23, 13/9, 10/7
66	638.7097	1.4462	13/9, 93/64, 16/11, 23/16, 33/23
67	648.3871	1.4543	16/11, 93/64, 19/13, 13/9, 22/15
68	658.0645	1.4624	19/13, 22/15, 47/32, 16/11, 25/17, 93/64, 28/19
69	667.7419	1.4706	25/17, 47/32, 28/19, 22/15, 34/23, 19/13
70	677.4194	1.4789	34/23, 28/19, 95/64, 25/17, 47/32, 22/15
71	687.0968	1.4872	95/64, 34/23, 3/2, 28/19
72	696.7742	1.4955	3/2, 95/64
73	706.4516	1.5039	3/2, 97/64
74	716.129	1.5123	97/64, 35/23, 32/21, 3/2
75	725.8065	1.5208	35/23, 32/21, 97/64, 26/17, 49/32, 23/15
76	735.4839	1.5293	26/17, 49/32, 23/15, 32/21, 35/23, 20/13, 97/64
77	745.1613	1.5379	20/13, 23/15, 49/32, 17/11, 26/17, 99/64, 32/21
78	754.8387	1.5465	99/64, 17/11, 20/13, 14/9, 23/15
79	764.5161	1.5552	14/9, 25/16, 99/64, 17/11, 36/23
80	774.1935	1.5639	36/23, 25/16, 11/7, 14/9, 101/64
81	783.871	1.5727	11/7, 101/64, 30/19, 36/23, 25/16, 19/12
82	793.5484	1.5815	19/12, 30/19, 101/64, 27/17, 35/22, 11/7, 51/32
83	803.2258	1.5904	35/22, 27/17, 51/32, 19/12, 8/5, 30/19, 101/64
84	812.9032	1.5993	8/5, 51/32, 35/22, 103/64, 27/17
85	822.5806	1.6082	103/64, 21/13, 8/5, 34/21, 51/32
86	832.2581	1.6173	34/21, 21/13, 13/8, 103/64
87	841.9355	1.6263	13/8, 34/21, 18/11, 21/13, 105/64
88	851.6129	1.6354	18/11, 105/64, 23/14, 13/8, 28/17, 33/20
89	861.2903	1.6446	23/14, 28/17, 105/64, 33/20, 38/23, 18/11, 53/32
90	870.9677	1.6538	38/23, 53/32, 33/20, 28/17, 23/14, 5/3, 105/64
91	880.6452	1.6631	5/3, 53/32, 107/64, 38/23, 33/20
92	890.3226	1.6724	107/64, 5/3, 32/19, 27/16
93	900.0	1.6818	32/19, 27/16, 107/64, 22/13, 39/23, 5/3
94	909.6774	1.6912	22/13, 27/16, 39/23, 32/19, 17/10, 109/64
95	919.3548	1.7007	17/10, 109/64, 39/23, 22/13, 27/16, 12/7
96	929.0323	1.7102	12/7, 109/64, 55/32, 17/10, 39/23
97	938.7097	1.7198	55/32, 12/7, 19/11, 26/15, 111/64
98	948.3871	1.7295	19/11, 26/15, 111/64, 33/19, 40/23, 55/32, 12/7
99	958.0645	1.7392	40/23, 33/19, 111/64, 26/15, 7/4, 19/11
100	967.7419	1.7489	7/4, 40/23, 33/19, 111/64, 26/15, 30/17
101	977.4194	1.7587	30/17, 113/64, 7/4, 23/13, 39/22
102	987.0968	1.7686	23/13, 113/64, 30/17, 39/22, 16/9, 57/32
103	996.7742	1.7785	16/9, 57/32, 39/22, 25/14, 23/13, 34/19, 113/64, 30/17
104	1006.4516	1.7884	34/19, 25/14, 57/32, 115/64, 16/9, 9/5, 39/22
105	1016.129	1.7985	9/5, 115/64, 34/19, 38/21, 25/14, 29/16
106	1025.8065	1.8086	38/21, 29/16, 9/5, 20/11, 115/64
107	1035.4839	1.8187	20/11, 29/16, 42/23, 38/21, 117/64, 11/6
108	1045.1613	1.8289	117/64, 42/23, 11/6, 20/11, 35/19, 59/32, 29/16
109	1054.8387	1.8391	35/19, 59/32, 11/6, 24/13, 117/64, 42/23
110	1064.5161	1.8495	24/13, 59/32, 35/19, 13/7, 119/64, 11/6
111	1074.1935	1.8598	119/64, 13/7, 28/15, 24/13, 15/8, 59/32
112	1083.871	1.8702	28/15, 15/8, 119/64, 32/17, 13/7
113	1093.5484	1.8807	32/17, 15/8, 17/9, 121/64, 36/19, 28/15
114	1103.2258	1.8913	121/64, 17/9, 36/19, 19/10, 32/17, 40/21, 61/32, 15/8
115	1112.9032	1.9019	19/10, 40/21, 61/32, 36/19, 21/11, 44/23, 121/64, 17/9, 23/12
116	1122.5806	1.9125	44/23, 21/11, 23/12, 61/32, 40/21, 123/64, 25/13, 19/10, 27/14
117	1132.2581	1.9233	25/13, 123/64, 27/14, 23/12, 44/23, 31/16, 21/11, 61/32
118	1141.9355	1.934	31/16, 27/14, 33/17, 35/18, 25/13, 123/64, 39/20, 23/12
119	1151.6129	1.9449	35/18, 33/17, 39/20, 31/16, 125/64, 45/23, 27/14
120	1161.2903	1.9558	45/23, 125/64, 39/20, 35/18, 63/32, 33/17
121	1170.9677	1.9667	63/32, 45/23, 125/64, 39/20, 127/64
122	1180.6452	1.9778	127/64, 63/32
123	1190.3226	1.9889	127/64
124	1200.0	2.0	2/1
JI Ratio Approximations are comprised of 23 limit ratios and the odd harmonics up to 127. The JI Ratio Approximations are stylized as follows to indicate accuracy: Big Bold Underlined: absolute cent error < 1 cent. Big Bold: absolute cent error < 2 cents. Big: absolute cent error < 4 cents. Normal: absolute cent error < 8 cents. Small: absolute cent error < 16 cents.

@@ Line 21: / Line 21: @@
 |19.3548
 |1.0112
-|
+|65/64
 |-
 |3
 |29.0323
 |1.0169
-|65/64
+|<big>65/64</big>
 |-
 |4
 |38.7097
 |1.0226
-|<big>65/64</big>
+|<small>65/64</small>, <small>33/32</small>
 |-
 |5
 |48.3871
 |1.0283
-|<small>65/64</small>, <small>33/32</small>
+|33/32
 |-
 |6
 |58.0645
 |1.0341
-|33/32
+|33/32, <small>24/23</small>
 |-
 |7
 |67.7419
 |1.0399
-|33/32, <small>24/23</small>
+|24/23, <small>23/22</small>, <small>67/64</small>, <small>22/21</small>, <small>33/32</small>
 |-
 |8
 |77.4194
 |1.0457
-|24/23, <small>23/22</small>, <small>67/64</small>, <small>22/21</small>, <small>33/32</small>
+|'''<big><u>23/22</u></big>''', '''<big>67/64</big>''', <big>22/21</big>, <big>24/23</big>, 21/20, <small>20/19</small>
 |-
 |9
 |87.0968
 |1.0516
-|'''<big><u>23/22</u></big>''', '''<big>67/64</big>''', <big>22/21</big>, <big>24/23</big>, 21/20, <small>20/19</small>
+|'''<big>20/19</big>''', <big>21/20</big>, 19/18, 22/21, 67/64, <small>23/22</small>, <small>18/17</small>, <small>24/23</small>
 |-
 |10
 |96.7742
 |1.0575
-|'''<big>20/19</big>''', <big>21/20</big>, 19/18, 22/21, 67/64, <small>23/22</small>, <small>18/17</small>, <small>24/23</small>
+|<big>18/17</big>, <big>19/18</big>, 20/19, <small>17/16</small>, <small>21/20</small>, <small>16/15</small>
 |-
 |11
 |106.4516
 |1.0634
-|<big>18/17</big>, <big>19/18</big>, 20/19, <small>17/16</small>, <small>21/20</small>, <small>16/15</small>
+|'''<big>17/16</big>''', 16/15, 18/17, <small>19/18</small>, <small>15/14</small>
 |-
 |12
 |116.129
 |1.0694
-|'''<big>17/16</big>''', 16/15, 18/17, <small>19/18</small>, <small>15/14</small>
+|<big>15/14</big>, 16/15, <small>17/16</small>, <small>14/13</small>, <small>69/64</small>
 |-
 |13
 |125.8065
 |1.0754
-|<big>15/14</big>, 16/15, <small>17/16</small>, <small>14/13</small>, <small>69/64</small>
+|<big>14/13</big>, 69/64, 15/14, <small>13/12</small>, <small>16/15</small>
 |-
 |14
 |135.4839
 |1.0814
-|<big>14/13</big>, 69/64, 15/14, <small>13/12</small>, <small>16/15</small>
+|<big>13/12</big>, 69/64, 14/13, <small>25/23</small>, <small>12/11</small>
 |-
 |15
 |145.1613
 |1.0875
-|<big>13/12</big>, 69/64, 14/13, <small>25/23</small>, <small>12/11</small>
+|'''<big><u>25/23</u></big>''', 12/11, 13/12, <small>35/32</small>, <small>23/21</small>, <small>69/64</small>
 |-
 |16
 |154.8387
 |1.0936
-|'''<big><u>25/23</u></big>''', 12/11, 13/12, <small>35/32</small>, <small>23/21</small>, <small>69/64</small>
+|'''<big><u>35/32</u></big>''', <big>23/21</big>, 12/11, <small>11/10</small>, <small>25/23</small>
 |-
 |17
 |164.5161
 |1.0997
-|'''<big><u>35/32</u></big>''', <big>23/21</big>, 12/11, <small>11/10</small>, <small>25/23</small>
+|'''<big><u>11/10</u></big>''', 23/21, <small>21/19</small>, <small>35/32</small>, <small>12/11</small>, <small>71/64</small>
 |-
 |18
 |174.1935
 |1.1059
-|'''<big><u>11/10</u></big>''', 23/21, <small>21/19</small>, <small>35/32</small>, <small>12/11</small>, <small>71/64</small>
+|'''<big><u>21/19</u></big>''', 71/64, <small>10/9</small>, <small>11/10</small>
 |-
 |19
 |183.871
 |1.1121
-|'''<big><u>21/19</u></big>''', 71/64, <small>10/9</small>, <small>11/10</small>
+|'''<big>10/9</big>''', 71/64, <small>19/17</small>, <small>21/19</small>
 |-
 |20
 |193.5484
 |1.1183
-|'''<big>10/9</big>''', 71/64, <small>19/17</small>, <small>21/19</small>
+|'''<big><u>19/17</u></big>''', <small>9/8</small>, <small>10/9</small>, <small>71/64</small>
 |-
 |21
 |203.2258
 |1.1246
-|'''<big><u>19/17</u></big>''', <small>9/8</small>, <small>10/9</small>, <small>71/64</small>
+|'''<big><u>9/8</u></big>''', <small>26/23</small>, <small>19/17</small>, <small>17/15</small>
 |-
 |22
 |212.9032
 |1.1309
-|'''<big><u>9/8</u></big>''', <small>26/23</small>, <small>19/17</small>, <small>17/15</small>
+|'''<big><u>26/23</u></big>''', <big>17/15</big>, <small>25/22</small>, <small>9/8</small>, <small>73/64</small>
 |-
 |23
 |222.5806
 |1.1372
-|'''<big><u>26/23</u></big>''', <big>17/15</big>, <small>25/22</small>, <small>9/8</small>, <small>73/64</small>
+|'''<big>25/22</big>''', 73/64, 17/15, <small>8/7</small>, <small>26/23</small>
 |-
 |24
 |232.2581
 |1.1436
-|'''<big>25/22</big>''', 73/64, 17/15, <small>8/7</small>, <small>26/23</small>
+|'''<big>8/7</big>''', 73/64, <small>23/20</small>, <small>25/22</small>, <small>15/13</small>, <small>17/15</small>
 |-
 |25
 |241.9355
 |1.15
-|'''<big>8/7</big>''', 73/64, <small>23/20</small>, <small>25/22</small>, <small>15/13</small>, <small>17/15</small>
+|'''<big><u>23/20</u></big>''', 15/13, <small>37/32</small>, <small>8/7</small>, <small>22/19</small>, <small>73/64</small>
 |-
 |26
 |251.6129
 |1.1564
-|'''<big><u>23/20</u></big>''', 15/13, <small>37/32</small>, <small>8/7</small>, <small>22/19</small>, <small>73/64</small>
+|'''<big><u>37/32</u></big>''', <big>22/19</big>, <big>15/13</big>, <small>23/20</small>, <small>7/6</small>
 |-
 |27
 |261.2903
 |1.1629
-|'''<big><u>37/32</u></big>''', <big>22/19</big>, <big>15/13</big>, <small>23/20</small>, <small>7/6</small>
+|7/6, 22/19, <small>37/32</small>, <small>75/64</small>, <small>15/13</small>
 |-
 |28
 |270.9677
 |1.1694
-|7/6, 22/19, <small>37/32</small>, <small>75/64</small>, <small>15/13</small>
+|<big>75/64</big>, 7/6, 27/23, <small>20/17</small>
 |-
 |29
 |280.6452
 |1.176
-|<big>75/64</big>, 7/6, 27/23, <small>20/17</small>
+|'''<big><u>20/17</u></big>''', <big>27/23</big>, 75/64, <small>13/11</small>, <small>7/6</small>
 |-
 |30
 |290.3226
 |1.1826
-|'''<big><u>20/17</u></big>''', <big>27/23</big>, 75/64, <small>13/11</small>, <small>7/6</small>
+|'''<big>13/11</big>''', 19/16, <small>20/17</small>, <small>25/21</small>, <small>27/23</small>, <small>75/64</small>
 |-
 |31
 |300.0
 |1.1892
-|'''<big>13/11</big>''', 19/16, <small>20/17</small>, <small>25/21</small>, <small>27/23</small>, <small>75/64</small>
+|'''<big>25/21</big>''', <big>19/16</big>, <small>13/11</small>, <small>6/5</small>
 |-
 |32
 |309.6774
 |1.1959
-|'''<big>25/21</big>''', <big>19/16</big>, <small>13/11</small>, <small>6/5</small>
+|6/5, 25/21, <small>77/64</small>, <small>19/16</small>
 |-
 |33
 |319.3548
 |1.2026
-|6/5, 25/21, <small>77/64</small>, <small>19/16</small>
+|'''<big><u>77/64</u></big>''', <big>6/5</big>, <small>23/19</small>
 |-
 |34
 |329.0323
 |1.2093
-|'''<big><u>77/64</u></big>''', <big>6/5</big>, <small>23/19</small>
+|'''<big>23/19</big>''', 17/14, <small>77/64</small>, <small>28/23</small>, <small>6/5</small>, <small>39/32</small>
 |-
 |35
 |338.7097
 |1.2161
-|'''<big>23/19</big>''', 17/14, <small>77/64</small>, <small>28/23</small>, <small>6/5</small>, <small>39/32</small>
+|'''<big>28/23</big>''', <big>17/14</big>, <big>39/32</big>, 23/19, <small>11/9</small>, <small>27/22</small>
 |-
 |36
 |348.3871
 |1.2229
-|'''<big>28/23</big>''', <big>17/14</big>, <big>39/32</big>, 23/19, <small>11/9</small>, <small>27/22</small>
+|'''<big><u>11/9</u></big>''', 39/32, 27/22, 28/23, <small>16/13</small>, <small>17/14</small>
 |-
 |37
 |358.0645
 |1.2298
-|'''<big><u>11/9</u></big>''', 39/32, 27/22, 28/23, <small>16/13</small>, <small>17/14</small>
+|'''<big>16/13</big>''', <big>27/22</big>, 79/64, 21/17, <small>11/9</small>, <small>26/21</small>, <small>39/32</small>
 |-
 |38
 |367.7419
 |1.2367
-|'''<big>16/13</big>''', <big>27/22</big>, 79/64, 21/17, <small>11/9</small>, <small>26/21</small>, <small>39/32</small>
+|'''<big>21/17</big>''', <big>26/21</big>, <big>79/64</big>, <small>16/13</small>, <small>27/22</small>
 |-
 |39
 |377.4194
 |1.2436
-|'''<big>21/17</big>''', <big>26/21</big>, <big>79/64</big>, <small>16/13</small>, <small>27/22</small>
+|26/21, <small>5/4</small>, <small>21/17</small>, <small>79/64</small>
 |-
 |40
 |387.0968
 |1.2506
-|26/21, <small>5/4</small>, <small>21/17</small>, <small>79/64</small>
+|'''<big><u>5/4</u></big>'''
 |-
 |41
 |396.7742
 |1.2576
-|'''<big><u>5/4</u></big>'''
+|24/19, <small>5/4</small>, <small>81/64</small>, <small>19/15</small>
 |-
 |42
 |406.4516
 |1.2646
-|24/19, <small>5/4</small>, <small>81/64</small>, <small>19/15</small>
+|'''<big>81/64</big>''', <big>24/19</big>, <big>19/15</big>, <small>14/11</small>
 |-
 |43
 |416.129
 |1.2717
-|'''<big>81/64</big>''', <big>24/19</big>, <big>19/15</big>, <small>14/11</small>
+|'''<big>14/11</big>''', 19/15, <small>23/18</small>, <small>81/64</small>, <small>24/19</small>, <small>41/32</small>
 |-
 |44
 |425.8065
 |1.2788
-|'''<big>14/11</big>''', 19/15, <small>23/18</small>, <small>81/64</small>, <small>24/19</small>, <small>41/32</small>
+|'''<big>23/18</big>''', <big>41/32</big>, <small>14/11</small>, <small>9/7</small>
 |-
 |45
 |435.4839
 |1.286
-|'''<big>23/18</big>''', <big>41/32</big>, <small>14/11</small>, <small>9/7</small>
+|'''<big><u>9/7</u></big>''', 41/32, <small>22/17</small>, <small>23/18</small>, <small>83/64</small>
 |-
 |46
 |445.1613
 |1.2932
-|'''<big><u>9/7</u></big>''', 41/32, <small>22/17</small>, <small>23/18</small>, <small>83/64</small>
+|'''<big>22/17</big>''', 83/64, <small>13/10</small>, <small>9/7</small>, <small>30/23</small>
 |-
 |47
 |454.8387
 |1.3005
-|'''<big>22/17</big>''', 83/64, <small>13/10</small>, <small>9/7</small>, <small>30/23</small>
+|'''<big><u>13/10</u></big>''', 83/64, 30/23, <small>22/17</small>, <small>17/13</small>, <small>21/16</small>
 |-
 |48
 |464.5161
 |1.3078
-|'''<big><u>13/10</u></big>''', 83/64, 30/23, <small>22/17</small>, <small>17/13</small>, <small>21/16</small>
+|'''<big><u>17/13</u></big>''', 30/23, 21/16, <small>13/10</small>, <small>25/19</small>, <small>83/64</small>
 |-
 |49
 |474.1935
 |1.3151
-|'''<big><u>17/13</u></big>''', 30/23, 21/16, <small>13/10</small>, <small>25/19</small>, <small>83/64</small>
+|'''<big><u>25/19</u></big>''', <big>21/16</big>, <small>17/13</small>, <small>30/23</small>
 |-
 |50
 |483.871
 |1.3225
-|'''<big><u>25/19</u></big>''', <big>21/16</big>, <small>17/13</small>, <small>30/23</small>
+|85/64, <small>25/19</small>, <small>21/16</small>, <small>4/3</small>
 |-
 |51
 |493.5484
 |1.3299
-|85/64, <small>25/19</small>, <small>21/16</small>, <small>4/3</small>
+|<big>85/64</big>, 4/3
 |-
 |52
 |503.2258
 |1.3373
-|<big>85/64</big>, 4/3
+|4/3, <small>43/32</small>, <small>85/64</small>
 |-
 |53
 |512.9032
 |1.3448
-|4/3, <small>43/32</small>, <small>85/64</small>
+|'''<big>43/32</big>''', 27/20, <small>23/17</small>, <small>4/3</small>, <small>19/14</small>
 |-
 |54
 |522.5806
 |1.3524
-|'''<big>43/32</big>''', 27/20, <small>23/17</small>, <small>4/3</small>, <small>19/14</small>
+|'''<big><u>23/17</u></big>''', <big>27/20</big>, 19/14, <small>87/64</small>, <small>43/32</small>, <small>15/11</small>
 |-
 |55
 |532.2581
 |1.3599
-|'''<big><u>23/17</u></big>''', <big>27/20</big>, 19/14, <small>87/64</small>, <small>43/32</small>, <small>15/11</small>
+|'''<big><u>87/64</u></big>''', <big>19/14</big>, 15/11, <small>23/17</small>, <small>26/19</small>, <small>27/20</small>
 |-
 |56
 |541.9355
 |1.3676
-|'''<big><u>87/64</u></big>''', <big>19/14</big>, 15/11, <small>23/17</small>, <small>26/19</small>, <small>27/20</small>
+|'''<big>26/19</big>''', 15/11, <small>11/8</small>, <small>87/64</small>, <small>19/14</small>
 |-
 |57
 |551.6129
 |1.3752
-|'''<big>26/19</big>''', 15/11, <small>11/8</small>, <small>87/64</small>, <small>19/14</small>
+|'''<big><u>11/8</u></big>''', <small>26/19</small>, <small>18/13</small>, <small>15/11</small>
 |-
 |58
 |561.2903
 |1.3829
-|'''<big><u>11/8</u></big>''', <small>26/19</small>, <small>18/13</small>, <small>15/11</small>
+|<big>18/13</big>, 25/18, <small>89/64</small>, <small>11/8</small>, <small>32/23</small>
 |-
 |59
 |570.9677
 |1.3907
-|<big>18/13</big>, 25/18, <small>89/64</small>, <small>11/8</small>, <small>32/23</small>
+|'''<big><u>89/64</u></big>''', '''<big><u>32/23</u></big>''', <big>25/18</big>, 18/13, <small>7/5</small>
 |-
 |60
 |580.6452
 |1.3985
-|'''<big><u>89/64</u></big>''', '''<big><u>32/23</u></big>''', <big>25/18</big>, 18/13, <small>7/5</small>
+|'''<big>7/5</big>''', <small>32/23</small>, <small>45/32</small>, <small>89/64</small>, <small>25/18</small>
 |-
 |61
 |590.3226
 |1.4063
-|'''<big>7/5</big>''', <small>32/23</small>, <small>45/32</small>, <small>89/64</small>, <small>25/18</small>
+|'''<big><u>45/32</u></big>''', 24/17, 7/5, <small>17/12</small>
 |-
 |62
 |600.0
 |1.4142
-|'''<big><u>45/32</u></big>''', 24/17, 7/5, <small>17/12</small>
+|<big>17/12</big>, <big>24/17</big>, <small>27/19</small>, <small>91/64</small>, <small>45/32</small>
 |-
 |63
 |609.6774
 |1.4221
-|<big>17/12</big>, <big>24/17</big>, <small>27/19</small>, <small>91/64</small>, <small>45/32</small>
+|'''<big><u>91/64</u></big>''', '''<big>27/19</big>''', 17/12, 10/7, <small>24/17</small>, <small>33/23</small>
 |-
 |64
 |619.3548
 |1.4301
-|'''<big><u>91/64</u></big>''', '''<big>27/19</big>''', 17/12, 10/7, <small>24/17</small>, <small>33/23</small>
+|'''<big>10/7</big>''', 33/23, <small>23/16</small>, <small>91/64</small>, <small>27/19</small>
 |-
 |65
 |629.0323
 |1.4381
-|'''<big>10/7</big>''', 33/23, <small>23/16</small>, <small>91/64</small>, <small>27/19</small>
+|'''<big><u>23/16</u></big>''', 33/23, 13/9, <small>10/7</small>
 |-
 |66
 |638.7097
 |1.4462
-|'''<big><u>23/16</u></big>''', 33/23, 13/9, <small>10/7</small>
+|<big>13/9</big>, <small>93/64</small>, <small>16/11</small>, <small>23/16</small>, <small>33/23</small>
 |-
 |67
 |648.3871
 |1.4543
-|<big>13/9</big>, <small>93/64</small>, <small>16/11</small>, <small>23/16</small>, <small>33/23</small>
+|'''<big><u>16/11</u></big>''', '''<big>93/64</big>''', <small>19/13</small>, <small>13/9</small>, <small>22/15</small>
 |-
 |68
 |658.0645
 |1.4624
-|'''<big><u>16/11</u></big>''', '''<big>93/64</big>''', <small>19/13</small>, <small>13/9</small>, <small>22/15</small>
+|'''<big>19/13</big>''', 22/15, 47/32, <small>16/11</small>, <small>25/17</small>, <small>93/64</small>, <small>28/19</small>
 |-
 |69
 |667.7419
 |1.4706
-|'''<big>19/13</big>''', 22/15, 47/32, <small>16/11</small>, <small>25/17</small>, <small>93/64</small>, <small>28/19</small>
+|'''<big><u>25/17</u></big>''', <big>47/32</big>, <big>28/19</big>, 22/15, <small>34/23</small>, <small>19/13</small>
 |-
 |70
 |677.4194
 |1.4789
-|'''<big><u>25/17</u></big>''', <big>47/32</big>, <big>28/19</big>, 22/15, <small>34/23</small>, <small>19/13</small>
+|'''<big><u>34/23</u></big>''', 28/19, 95/64, <small>25/17</small>, <small>47/32</small>, <small>22/15</small>
 |-
 |71
 |687.0968
 |1.4872
-|'''<big><u>34/23</u></big>''', 28/19, 95/64, <small>25/17</small>, <small>47/32</small>, <small>22/15</small>
+|<big>95/64</big>, <small>34/23</small>, <small>3/2</small>, <small>28/19</small>
 |-
 |72
 |696.7742
 |1.4955
-|<big>95/64</big>, <small>34/23</small>, <small>3/2</small>, <small>28/19</small>
+|3/2, <small>95/64</small>
 |-
 |73
 |706.4516
 |1.5039
-|3/2, <small>95/64</small>
+|3/2, <small>97/64</small>
 |-
 |74
 |716.129
 |1.5123
-|3/2, <small>97/64</small>
+|<big>97/64</big>, <small>35/23</small>, <small>32/21</small>, <small>3/2</small>
 |-
 |75
 |725.8065
 |1.5208
-|<big>97/64</big>, <small>35/23</small>, <small>32/21</small>, <small>3/2</small>
+|'''<big>35/23</big>''', <big>32/21</big>, 97/64, <small>26/17</small>, <small>49/32</small>, <small>23/15</small>
 |-
 |76
 |735.4839
 |1.5293
-|'''<big>35/23</big>''', <big>32/21</big>, 97/64, <small>26/17</small>, <small>49/32</small>, <small>23/15</small>
+|'''<big><u>26/17</u></big>''', <big>49/32</big>, 23/15, 32/21, <small>35/23</small>, <small>20/13</small>, <small>97/64</small>
 |-
 |77
 |745.1613
 |1.5379
-|'''<big><u>26/17</u></big>''', <big>49/32</big>, 23/15, 32/21, <small>35/23</small>, <small>20/13</small>, <small>97/64</small>
+|'''<big><u>20/13</u></big>''', 23/15, 49/32, <small>17/11</small>, <small>26/17</small>, <small>99/64</small>, <small>32/21</small>
 |-
 |78
 |754.8387
 |1.5465
-|'''<big><u>20/13</u></big>''', 23/15, 49/32, <small>17/11</small>, <small>26/17</small>, <small>99/64</small>, <small>32/21</small>
+|'''<big><u>99/64</u></big>''', '''<big>17/11</big>''', <small>20/13</small>, <small>14/9</small>, <small>23/15</small>
 |-
 |79
 |764.5161
 |1.5552
-|'''<big><u>99/64</u></big>''', '''<big>17/11</big>''', <small>20/13</small>, <small>14/9</small>, <small>23/15</small>
+|'''<big><u>14/9</u></big>''', <small>25/16</small>, <small>99/64</small>, <small>17/11</small>, <small>36/23</small>
 |-
 |80
 |774.1935
 |1.5639
-|'''<big><u>14/9</u></big>''', <small>25/16</small>, <small>99/64</small>, <small>17/11</small>, <small>36/23</small>
+|'''<big>36/23</big>''', '''<big>25/16</big>''', <small>11/7</small>, <small>14/9</small>, <small>101/64</small>
 |-
 |81
 |783.871
 |1.5727
-|'''<big>36/23</big>''', '''<big>25/16</big>''', <small>11/7</small>, <small>14/9</small>, <small>101/64</small>
+|'''<big>11/7</big>''', 101/64, 30/19, <small>36/23</small>, <small>25/16</small>, <small>19/12</small>
 |-
 |82
 |793.5484
 |1.5815
-|'''<big>11/7</big>''', 101/64, 30/19, <small>36/23</small>, <small>25/16</small>, <small>19/12</small>
+|<big>19/12</big>, <big>30/19</big>, <big>101/64</big>, 27/17, <small>35/22</small>, <small>11/7</small>, <small>51/32</small>
 |-
 |83
 |803.2258
 |1.5904
-|<big>19/12</big>, <big>30/19</big>, <big>101/64</big>, 27/17, <small>35/22</small>, <small>11/7</small>, <small>51/32</small>
+|'''<big><u>35/22</u></big>''', <big>27/17</big>, <big>51/32</big>, 19/12, <small>8/5</small>, <small>30/19</small>, <small>101/64</small>
 |-
 |84
 |812.9032
 |1.5993
-|'''<big><u>35/22</u></big>''', <big>27/17</big>, <big>51/32</big>, 19/12, <small>8/5</small>, <small>30/19</small>, <small>101/64</small>
+|'''<big><u>8/5</u></big>''', 51/32, <small>35/22</small>, <small>103/64</small>, <small>27/17</small>
 |-
 |85
 |822.5806
 |1.6082
-|'''<big><u>8/5</u></big>''', 51/32, <small>35/22</small>, <small>103/64</small>, <small>27/17</small>
+|'''<big>103/64</big>''', 21/13, <small>8/5</small>, <small>34/21</small>, <small>51/32</small>
 |-
 |86
 |832.2581
 |1.6173
-|'''<big>103/64</big>''', 21/13, <small>8/5</small>, <small>34/21</small>, <small>51/32</small>
+|'''<big>34/21</big>''', <big>21/13</big>, <small>13/8</small>, <small>103/64</small>
 |-
 |87
 |841.9355
 |1.6263
-|'''<big>34/21</big>''', <big>21/13</big>, <small>13/8</small>, <small>103/64</small>
+|'''<big>13/8</big>''', 34/21, <small>18/11</small>, <small>21/13</small>, <small>105/64</small>
 |-
 |88
 |851.6129
 |1.6354
-|'''<big>13/8</big>''', 34/21, <small>18/11</small>, <small>21/13</small>, <small>105/64</small>
+|'''<big><u>18/11</u></big>''', 105/64, 23/14, <small>13/8</small>, <small>28/17</small>, <small>33/20</small>
 |-
 |89
 |861.2903
 |1.6446
-|'''<big><u>18/11</u></big>''', 105/64, 23/14, <small>13/8</small>, <small>28/17</small>, <small>33/20</small>
+|'''<big>23/14</big>''', <big>28/17</big>, 105/64, 33/20, 38/23, <small>18/11</small>, <small>53/32</small>
 |-
 |90
 |870.9677
 |1.6538
-|'''<big>23/14</big>''', <big>28/17</big>, 105/64, 33/20, 38/23, <small>18/11</small>, <small>53/32</small>
+|'''<big>38/23</big>''', <big>53/32</big>, 33/20, 28/17, <small>23/14</small>, <small>5/3</small>, <small>105/64</small>
 |-
 |91
 |880.6452
 |1.6631
-|'''<big>38/23</big>''', <big>53/32</big>, 33/20, 28/17, <small>23/14</small>, <small>5/3</small>, <small>105/64</small>
+|<big>5/3</big>, 53/32, <small>107/64</small>, <small>38/23</small>, <small>33/20</small>
 |-
 |92
 |890.3226
 |1.6724
-|<big>5/3</big>, 53/32, <small>107/64</small>, <small>38/23</small>, <small>33/20</small>
+|'''<big><u>107/64</u></big>''', 5/3, <small>32/19</small>, <small>27/16</small>
 |-
 |93
 |900.0
 |1.6818
-|'''<big><u>107/64</u></big>''', 5/3, <small>32/19</small>, <small>27/16</small>
+|<big>32/19</big>, 27/16, <small>107/64</small>, <small>22/13</small>, <small>39/23</small>, <small>5/3</small>
 |-
 |94
 |909.6774
 |1.6912
-|<big>32/19</big>, 27/16, <small>107/64</small>, <small>22/13</small>, <small>39/23</small>, <small>5/3</small>
+|'''<big>22/13</big>''', <big>27/16</big>, 39/23, 32/19, <small>17/10</small>, <small>109/64</small>
 |-
 |95
 |919.3548
 |1.7007
-|'''<big>22/13</big>''', <big>27/16</big>, 39/23, 32/19, <small>17/10</small>, <small>109/64</small>
+|'''<big><u>17/10</u></big>''', <big>109/64</big>, 39/23, <small>22/13</small>, <small>27/16</small>, <small>12/7</small>
 |-
 |96
 |929.0323
 |1.7102
-|'''<big><u>17/10</u></big>''', <big>109/64</big>, 39/23, <small>22/13</small>, <small>27/16</small>, <small>12/7</small>
+|12/7, 109/64, <small>55/32</small>, <small>17/10</small>, <small>39/23</small>
 |-
 |97
 |938.7097
 |1.7198
-|12/7, 109/64, <small>55/32</small>, <small>17/10</small>, <small>39/23</small>
+|'''<big>55/32</big>''', 12/7, 19/11, <small>26/15</small>, <small>111/64</small>
 |-
 |98
 |948.3871
 |1.7295
-|'''<big>55/32</big>''', 12/7, 19/11, <small>26/15</small>, <small>111/64</small>
+|<big>19/11</big>, <big>26/15</big>, 111/64, 33/19, <small>40/23</small>, <small>55/32</small>, <small>12/7</small>
 |-
 |99
 |958.0645
 |1.7392
-|<big>19/11</big>, <big>26/15</big>, 111/64, 33/19, <small>40/23</small>, <small>55/32</small>, <small>12/7</small>
+|'''<big><u>40/23</u></big>''', <big>33/19</big>, 111/64, 26/15, <small>7/4</small>, <small>19/11</small>
 |-
 |100
 |967.7419
 |1.7489
-|'''<big><u>40/23</u></big>''', <big>33/19</big>, 111/64, 26/15, <small>7/4</small>, <small>19/11</small>
+|'''<big>7/4</big>''', <small>40/23</small>, <small>33/19</small>, <small>111/64</small>, <small>26/15</small>, <small>30/17</small>
 |-
 |101
 |977.4194
 |1.7587
-|'''<big>7/4</big>''', <small>40/23</small>, <small>33/19</small>, <small>111/64</small>, <small>26/15</small>, <small>30/17</small>
+|30/17, 113/64, <small>7/4</small>, <small>23/13</small>, <small>39/22</small>
 |-
 |102
 |987.0968
 |1.7686
-|30/17, 113/64, <small>7/4</small>, <small>23/13</small>, <small>39/22</small>
+|'''<big><u>23/13</u></big>''', <big>113/64</big>, <big>30/17</big>, 39/22, <small>16/9</small>, <small>57/32</small>
 |-
 |103
 |996.7742
 |1.7785
-|'''<big><u>23/13</u></big>''', <big>113/64</big>, <big>30/17</big>, 39/22, <small>16/9</small>, <small>57/32</small>
+|'''<big><u>16/9</u></big>''', <big>57/32</big>, 39/22, 25/14, <small>23/13</small>, <small>34/19</small>, <small>113/64</small>, <small>30/17</small>
 |-
 |104
 |1006.4516
 |1.7884
-|'''<big><u>16/9</u></big>''', <big>57/32</big>, 39/22, 25/14, <small>23/13</small>, <small>34/19</small>, <small>113/64</small>, <small>30/17</small>
+|'''<big><u>34/19</u></big>''', <big>25/14</big>, 57/32, <small>115/64</small>, <small>16/9</small>, <small>9/5</small>, <small>39/22</small>
 |-
 |105
 |1016.129
 |1.7985
-|'''<big><u>34/19</u></big>''', <big>25/14</big>, 57/32, <small>115/64</small>, <small>16/9</small>, <small>9/5</small>, <small>39/22</small>
+|'''<big>9/5</big>''', '''<big>115/64</big>''', <small>34/19</small>, <small>38/21</small>, <small>25/14</small>, <small>29/16</small>
 |-
 |106
 |1025.8065
 |1.8086
-|'''<big>9/5</big>''', '''<big>115/64</big>''', <small>34/19</small>, <small>38/21</small>, <small>25/14</small>, <small>29/16</small>
+|'''<big><u>38/21</u></big>''', <big>29/16</big>, <small>9/5</small>, <small>20/11</small>, <small>115/64</small>
 |-
 |107
 |1035.4839
 |1.8187
-|'''<big><u>38/21</u></big>''', <big>29/16</big>, <small>9/5</small>, <small>20/11</small>, <small>115/64</small>
+|'''<big><u>20/11</u></big>''', 29/16, 42/23, <small>38/21</small>, <small>117/64</small>, <small>11/6</small>
 |-
 |108
 |1045.1613
 |1.8289
-|'''<big><u>20/11</u></big>''', 29/16, 42/23, <small>38/21</small>, <small>117/64</small>, <small>11/6</small>
+|'''<big><u>117/64</u></big>''', <big>42/23</big>, 11/6, <small>20/11</small>, <small>35/19</small>, <small>59/32</small>, <small>29/16</small>
 |-
 |109
 |1054.8387
 |1.8391
-|'''<big><u>117/64</u></big>''', <big>42/23</big>, 11/6, <small>20/11</small>, <small>35/19</small>, <small>59/32</small>, <small>29/16</small>
+|<big>35/19</big>, 59/32, 11/6, 24/13, <small>117/64</small>, <small>42/23</small>
 |-
 |110
 |1064.5161
 |1.8495
-|<big>35/19</big>, 59/32, 11/6, 24/13, <small>117/64</small>, <small>42/23</small>
+|<big>24/13</big>, 59/32, 35/19, 13/7, <small>119/64</small>, <small>11/6</small>
 |-
 |111
 |1074.1935
 |1.8598
-|<big>24/13</big>, 59/32, 35/19, 13/7, <small>119/64</small>, <small>11/6</small>
+|'''<big><u>119/64</u></big>''', <big>13/7</big>, 28/15, <small>24/13</small>, <small>15/8</small>, <small>59/32</small>
 |-
 |112
 |1083.871
 |1.8702
-|'''<big><u>119/64</u></big>''', <big>13/7</big>, 28/15, <small>24/13</small>, <small>15/8</small>, <small>59/32</small>
+|<big>28/15</big>, 15/8, <small>119/64</small>, <small>32/17</small>, <small>13/7</small>
 |-
 |113
 |1093.5484
 |1.8807
-|<big>28/15</big>, 15/8, <small>119/64</small>, <small>32/17</small>, <small>13/7</small>
+|'''<big>32/17</big>''', 15/8, 17/9, <small>121/64</small>, <small>36/19</small>, <small>28/15</small>
 |-
 |114
 |1103.2258
 |1.8913
-|'''<big>32/17</big>''', 15/8, 17/9, <small>121/64</small>, <small>36/19</small>, <small>28/15</small>
+|'''<big><u>121/64</u></big>''', <big>17/9</big>, <big>36/19</big>, 19/10, <small>32/17</small>, <small>40/21</small>, <small>61/32</small>, <small>15/8</small>
 |-
 |115
 |1112.9032
 |1.9019
-|'''<big><u>121/64</u></big>''', <big>17/9</big>, <big>36/19</big>, 19/10, <small>32/17</small>, <small>40/21</small>, <small>61/32</small>, <small>15/8</small>
+|'''<big>19/10</big>''', <big>40/21</big>, <big>61/32</big>, 36/19, 21/11, <small>44/23</small>, <small>121/64</small>, <small>17/9</small>, <small>23/12</small>
 |-
 |116
 |1122.5806
 |1.9125
-|'''<big>19/10</big>''', <big>40/21</big>, <big>61/32</big>, 36/19, 21/11, <small>44/23</small>, <small>121/64</small>, <small>17/9</small>, <small>23/12</small>
+|'''<big><u>44/23</u></big>''', <big>21/11</big>, <big>23/12</big>, 61/32, 40/21, <small>123/64</small>, <small>25/13</small>, <small>19/10</small>, <small>27/14</small>
 |-
 |117
 |1132.2581
 |1.9233
-|'''<big><u>44/23</u></big>''', <big>21/11</big>, <big>23/12</big>, 61/32, 40/21, <small>123/64</small>, <small>25/13</small>, <small>19/10</small>, <small>27/14</small>
+|'''<big><u>25/13</u></big>''', '''<big>123/64</big>''', 27/14, 23/12, <small>44/23</small>, <small>31/16</small>, <small>21/11</small>, <small>61/32</small>
 |-
 |118
 |1141.9355
 |1.934
-|'''<big><u>25/13</u></big>''', '''<big>123/64</big>''', 27/14, 23/12, <small>44/23</small>, <small>31/16</small>, <small>21/11</small>, <small>61/32</small>
+|<big>31/16</big>, 27/14, 33/17, <small>35/18</small>, <small>25/13</small>, <small>123/64</small>, <small>39/20</small>, <small>23/12</small>
 |-
 |119
 |1151.6129
 |1.9449
-|<big>31/16</big>, 27/14, 33/17, <small>35/18</small>, <small>25/13</small>, <small>123/64</small>, <small>39/20</small>, <small>23/12</small>
+|'''<big><u>35/18</u></big>''', <big>33/17</big>, 39/20, 31/16, 125/64, <small>45/23</small>, <small>27/14</small>
 |-
 |120
 |1161.2903
 |1.9558
-|'''<big><u>35/18</u></big>''', <big>33/17</big>, 39/20, 31/16, 125/64, <small>45/23</small>, <small>27/14</small>
+|'''<big><u>45/23</u></big>''', <big>125/64</big>, 39/20, <small>35/18</small>, <small>63/32</small>, <small>33/17</small>
 |-
 |121
 |1170.9677
 |1.9667
-|'''<big><u>45/23</u></big>''', <big>125/64</big>, 39/20, <small>35/18</small>, <small>63/32</small>, <small>33/17</small>
+|'''<big>63/32</big>''', <small>45/23</small>, <small>125/64</small>, <small>39/20</small>, <small>127/64</small>
 |-
 |122
 |1180.6452
 |1.9778
-|'''<big>63/32</big>''', <small>45/23</small>, <small>125/64</small>, <small>39/20</small>, <small>127/64</small>
+|127/64, 63/32
 |-
 |123
 |1190.3226
 |1.9889
-|127/64, 63/32
+|<big>127/64</big>
 |-
 |124

124edo: Difference between revisions

Revision as of 11:38, 24 April 2021

Navigation menu

Search