User:Userminusone/Proposed Polychromatic Notation for 311edo

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Intro

Polychromatic notation is a system originally proposed by Dolores Catherino which represents small pitch deviations with deviations in color. This method of notation allows for a really efficient and clear depiction of specific interval sizes within a musical score, since colored note heads read very easily and don't require additional microtonal accidentals. Unlike Catherino, I don't think polychromatic notation should become the gold standard of microtonality, and I appreciate other notation systems that have different aesthetic characteristics and are suited for different use cases. However, I still think polychromatic notation is a very practical way of analyzing and understanding interval sizes in particularly large edos, which is why I've decided to develop one for 311edo, a particularly efficient system for working with excellently approximated high limit Just Intonation.

Diatonic Framework

My proposed polychromatic notation for 311edo works using an underlying diatonic framework for basic interval categories. All this means is that transposing a pitch by a series of fifths or fourths preserves its color, but changes its note name, accidental, or both. One consequence of this is that one could theoretically notate all of 311edo using only a single pitch color (since 311edo's circle of fifths reaches all of its notes), but this most likely won't happen in practice since most pitches would require way more than two sharps or flats to notate.

Pitch Colors and Single Step Modifiers

Since 311edo has so many notes, and to ensure that each pitch color is reasonably visually distinct from all others, I have decided that adjacent pitch colors should be separated by 3 steps of 311edo. A nice coincidence of this is that the syntonic comma, which is 6 steps in 311edo, can be represented by a separation of two pitch colors. In order to access all the pitches of 311edo, the "+" and "-" symbols are used to increase and decrease the pitch by 1 step of 311edo, respectively. With this system, only 11 different pitch colors are required to access all of 311edo's notes, which are as follows:


coral (#FF7F8E)

red (#FF4200)

orange (#FF9B24)

yellow (#F8E82D)

lime (#B4DF1A)

green (#34C300)

aqua (#17EBB8)

sky (#00C2EB)

blue (#226DFF)

purple (#B65DFF)

pink (#FF70FE)

Note Naming

In order to name a note in this system, just take the name of the note, the name of its single pitch offset, and the name of its pitch color. A pitch offset of 1 (using the "+" symbol) is named "acute", a pitch offset of 0 (using neither "+" nor "-") is named "mid", and a pitch offset of -1 (using the "-" symbol) is named "grave".


As an example, the note "G#+" has the name "G sharp acute aqua", the note "Eb-" has the name "E flat grave yellow", and the note "B" has the name "B natural mid coral".

Example Table

Here is a table of 311edo 99 odd limit intervals and associated note names, with additional ratios via the 311edo interval table and Inthar's consistent patent val readings of 311edo. (Inconsistently mapped intervals are shown in bold maroon and are placed in their patent val mapping)

Steps Cents Note names Intervals
0 0.000 C 1/1
1 3.859 C+ 289/288, 449/448
2 7.717 C- 170/169, 224/223, 225/224
3 11.576 C 133/132, 150/149
4 15.434 C+ 338/335, 94/93, 98/97, 100/99
5 19.293 C- 84/83, 85/84, 87/86, 88/87, 89/88, 90/89, 91/90, 92/91, 93/92, 95/94, 96/95, 97/96, 99/98, 79/78, 82/81
6 23.151 C 70/69, 72/71, 73/72, 74/73, 75/74, 76/75, 77/76, 78/77, 80/79, 81/80, 68/67, 83/82, 86/85
7 27.010 C+ Db- 61/60, 63/62, 64/63, 65/64, 66/65, 67/66, 69/68, 60/59, 71/70
8 30.868 C- Db 55/54, 56/55, 57/56, 58/57, 59/58, 53/52, 62/61
9 34.727 C Db+ 49/48, 50/49, 51/50, 52/51, 99/97, 47/46, 54/53, 95/93
10 38.585 C+ Db- 44/43, 45/44, 46/45, 89/87, 91/89, 93/91, 48/47, 85/83, 97/95
11 42.444 C- Db 40/39, 41/40, 42/41, 43/42, 83/81, 79/77, 87/85
12 46.302 C Db+ 37/36, 38/37, 39/38, 73/71, 75/73, 77/75, 81/79
13 50.161 C+ Db- 34/33, 35/34, 36/35, 69/67, 71/69, 100/97
14 54.019 C- Db C#- 32/31, 33/32, 65/63, 67/65, 95/92, 98/95, 61/59, 94/91
15 57.878 C Db+ C# 30/29, 31/30, 89/86, 91/88, 92/89, 63/61, 97/94
16 61.736 C+ Db- C#+ 28/27, 29/28, 57/55, 85/82, 86/83, 88/85, 59/57
17 65.595 Db C#- 27/26, 53/51, 55/53, 79/76, 80/77, 82/79, 83/80
18 69.453 Db+ C# 25/24, 26/25, 51/49, 76/73, 77/74, 74/71
19 73.312 Db- C#+ 24/23, 49/47, 73/70, 95/91, 97/93, 99/95, 47/45, 70/67
20 77.170 Db C#- 23/22, 45/43, 68/65, 91/87, 93/89, 71/68
21 81.029 Db+ C# 22/21, 65/62, 67/64, 87/83, 89/85, 85/81
22 84.887 Db- C#+ 21/20, 41/39, 62/59, 64/61, 104/99, 43/41, 61/58, 102/97
23 88.746 Db C#- 20/19, 79/75, 81/77, 98/93, 83/79
24 92.605 Db+ C# 19/18, 39/37, 58/55, 77/73, 96/91, 97/92, 59/56, 75/71, 94/89, 99/94
25 96.463 Db- C#+ 37/35, 55/52, 56/53, 73/69, 91/86, 92/87, 93/88
26 100.322 Db C#- 18/17, 35/33, 53/50, 71/67, 88/83, 89/84
27 104.180 Db+ C# 17/16, 52/49, 69/65, 86/81, 87/82
28 108.039 Db- C#+ 33/31, 49/46, 50/47, 67/63, 82/77, 83/78, 84/79
29 111.897 Db C#- 16/15, 63/59, 79/74, 81/76, 95/89, 97/91, 47/44, 65/61
30 115.756 Db+ C# 31/29, 46/43, 61/57, 77/72, 78/73, 76/71, 106/99
31 119.614 Db- C#+ 15/14, 74/69, 89/83, 91/85, 104/97
32 123.473 Db C#- 29/27, 44/41, 72/67, 73/68, 102/95, 59/55, 100/93
33 127.331 Db+ C# 14/13, 57/53, 71/66, 85/79, 99/92, 43/40
34 131.190 Db- C#+ 41/38, 55/51, 68/63, 69/64, 83/77, 95/88, 96/89, 97/90, 94/87
35 135.048 Db C#- 27/25, 40/37, 53/49, 67/62, 79/73, 93/86
36 138.907 Db+ C# 13/12, 64/59, 77/71, 90/83, 92/85, 66/61
37 142.765 D- Db- C#+ 25/23, 38/35, 51/47, 63/58, 88/81, 89/82
38 146.624 D Db C#- 37/34, 49/45, 61/56, 62/57, 73/67, 87/80, 99/91, 85/78
39 150.482 D+ Db+ C# 12/11, 95/87, 97/89, 47/43, 86/79, 106/97
40 154.341 D- C#+ 35/32, 59/54, 71/65, 82/75, 83/76
41 158.199 D C#- 23/21, 34/31, 57/52, 80/73, 81/74, 91/83, 104/95, 58/53, 79/72, 93/85
42 162.058 D+ C# 45/41, 56/51, 78/71, 89/81, 100/91
43 165.916 D- C#+ 11/10, 65/59, 76/69, 98/89, 67/61
44 169.775 D C#- 32/29, 43/39, 53/48, 54/49, 75/68, 85/77, 97/88, 74/67, 87/79, 95/86
45 173.633 D+ C# 21/19, 73/66, 94/85
46 177.492 D- C#+ 31/28, 41/37, 51/46, 61/55, 72/65, 92/83, 52/47, 83/75
47 181.350 D 10/9, 71/64, 81/73, 91/82, 79/71
48 185.209 D+ 49/44, 69/62, 89/80, 99/89, 108/97
49 189.068 D- 29/26, 39/35, 48/43, 68/61, 77/69, 97/87, 106/95, 59/53, 88/79
50 192.926 D 19/17, 47/42, 66/59, 67/60, 85/76, 86/77, 104/93, 75/67
51 196.785 D+ 28/25, 37/33, 65/58, 93/83, 102/91
52 200.643 D- 46/41, 55/49, 64/57, 73/65, 82/73, 91/81, 100/89, 83/74
53 204.502 D 9/8, 98/87, 80/71
54 208.360 D+ 35/31, 44/39, 53/47, 62/55, 71/63, 79/70, 97/86, 61/54, 89/79
55 212.219 D- 26/23, 87/77, 95/84, 96/85, 112/99, 94/83
56 216.077 D 17/15, 60/53, 77/68, 110/97, 43/38, 69/61, 76/67
57 219.936 D+ 25/22, 42/37, 59/52, 67/59, 92/81, 93/82
58 223.794 D- 33/29, 41/36, 58/51, 74/65, 83/73, 91/80, 108/95, 49/43, 106/93
59 227.653 D 57/50, 65/57, 73/64, 81/71, 89/78, 90/79
60 231.511 D+ Eb- 8/7, 79/69, 95/83, 97/85
61 235.370 D- Eb 47/41, 55/48, 63/55, 71/62, 87/76, 102/89
62 239.228 D Eb+ 31/27, 39/34, 70/61, 77/67, 85/74, 100/87, 86/75
63 243.087 D+ Eb- 23/20, 38/33, 61/53, 84/73, 99/86, 53/46, 54/47, 68/59
64 246.945 D- Eb 15/13, 83/72, 98/85, 82/71, 91/79, 112/97
65 250.804 D Eb+ 37/32, 52/45, 67/58, 89/77, 96/83, 97/84
66 254.662 D+ Eb- 22/19, 51/44, 73/63, 80/69, 95/82, 59/51, 81/70, 94/81
67 258.521 D- Eb D#- 29/25, 36/31, 65/56, 79/68, 50/43
68 262.379 D Eb+ D# 57/49, 64/55, 78/67, 85/73, 93/80, 106/91, 43/37
69 266.238 D+ Eb- D#+ 7/6, 71/61, 92/79, 99/85
70 270.096 Eb D#- 69/59, 76/65, 83/71, 90/77, 97/83, 104/89
71 273.955 Eb+ D# 34/29, 41/35, 48/41, 55/47, 75/64, 89/76, 116/99, 61/52, 62/53, 95/81
72 277.814 Eb- D#+ 27/23, 47/40, 74/63, 88/75, 114/97
73 281.672 Eb D#- 20/17, 53/45, 67/57, 73/62, 87/74, 79/67
74 285.531 Eb+ D# 33/28, 46/39, 85/72, 86/73, 112/95, 93/79, 98/83
75 289.389 Eb- D#+ 13/11, 84/71, 110/93, 59/50, 72/61
76 293.248 Eb D#- 32/27, 45/38, 58/49, 71/60, 77/65, 51/43, 70/59, 97/82
77 297.106 Eb+ D# 19/16, 82/69, 89/75, 108/91, 83/70
78 300.965 Eb- D#+ 25/21, 44/37, 63/53, 69/58, 94/79, 106/89
79 304.823 Eb D#- 31/26, 37/31, 56/47, 68/57, 87/73, 99/83, 118/99, 80/67, 81/68
80 308.682 Eb+ D# 43/36, 49/41, 55/46, 61/51, 92/77, 104/87, 116/97, 79/66, 85/71
81 312.540 Eb- D#+ 73/61, 91/76, 97/81, 67/56
82 316.399 Eb D#- 6/5
83 320.257 Eb+ D# 65/54, 71/59, 77/64, 83/69, 89/74, 95/79, 112/93, 47/39, 53/44, 100/83
84 324.116 Eb- D#+ 35/29, 41/34, 76/63, 88/73, 59/49
85 327.974 Eb D#- 29/24, 52/43, 64/53, 75/62, 81/67, 93/77, 98/81, 99/82, 110/91
86 331.833 Eb+ D# 23/19, 40/33, 63/52, 86/71
87 335.691 Eb- D#+ 17/14, 57/47, 74/61, 91/75, 108/89, 79/65, 97/80
88 339.550 Eb D#- 28/23, 45/37, 62/51, 73/60, 95/78, 118/97, 96/79, 106/87
89 343.408 Eb+ D# 39/32, 50/41, 61/50, 67/55, 72/59, 89/73, 94/77
90 347.267 E- Eb- D#+ 11/9, 116/95, 82/67, 83/68
91 351.125 E Eb D#- 38/31, 49/40, 60/49, 71/58, 87/71, 93/76, 104/85
92 354.984 E+ Eb+ D# 27/22, 65/53, 70/57, 92/75, 102/83
93 358.842 E- D#+ 16/13, 59/48, 75/61, 91/74, 43/35, 53/43, 85/69, 97/79, 122/99
94 362.701 E D#- 37/30, 69/56, 79/64, 90/73, 95/77, 100/81
95 366.559 E+ D# 21/17, 47/38, 68/55, 89/72, 110/89, 120/97, 58/47, 73/59
96 370.418 E- D#+ 26/21, 57/46, 83/67, 88/71, 99/80
97 374.277 E D#- 31/25, 36/29, 41/33, 67/54, 77/62, 98/79
98 378.135 E+ D# 46/37, 51/41, 56/45, 61/49, 87/70, 97/78, 118/95
99 381.994 E- D#+ 71/57, 76/61, 81/65, 86/69, 91/73, 96/77, 106/85, 116/93, 66/53
100 385.852 E 5/4
101 389.711 E+ 84/67, 89/71, 94/75, 104/83, 114/91, 124/99, 74/59, 79/63
102 393.569 E- 49/39, 54/43, 64/51, 69/55, 99/79, 122/97
103 397.428 E 34/27, 39/31, 44/35, 73/58, 83/66, 93/74, 112/89, 59/47
104 401.286 E+ 29/23, 53/42, 63/50, 82/65, 92/73, 97/77
105 405.145 E- 24/19, 77/61, 91/72, 110/87
106 409.003 E 19/15, 62/49, 81/64, 90/71, 100/79, 43/34, 67/53, 85/67
107 412.862 E+ 33/26, 47/37, 52/41, 80/63, 118/93, 61/48, 71/56, 75/59
108 416.720 E- 14/11, 89/70, 79/62, 108/85
109 420.579 E 37/29, 51/40, 65/51, 88/69, 93/73, 116/91, 106/83
110 424.437 E+ 23/18, 55/43, 60/47, 83/65, 124/97, 97/76
111 428.296 E- 32/25, 41/32, 50/39, 73/57, 87/68, 91/71, 114/89, 78/61
112 432.154 E 59/46, 68/53, 77/60, 86/67, 95/74, 104/81, 122/95
113 436.013 E+ F- 9/7, 94/73, 112/87, 76/59, 85/66
114 439.871 E- F 40/31, 49/38, 58/45, 67/52, 89/69
115 443.730 E F+ 31/24, 53/41, 71/55, 75/58, 84/65, 102/79, 128/99
116 447.588 E+ F- 22/17, 35/27, 57/44, 79/61, 92/71, 97/75
117 451.447 E- F 48/37, 61/47, 74/57, 83/64, 87/67, 100/77, 118/91, 126/97
118 455.305 E F+ 13/10, 82/63, 95/73, 108/83, 56/43
119 459.164 F- E+ 30/23, 43/33, 73/56, 77/59, 99/76, 116/89, 47/36, 69/53
120 463.023 F E- 17/13, 64/49, 81/62, 98/75, 124/95, 106/81
121 466.881 F+ E 38/29, 55/42, 72/55, 89/68, 93/71, 122/93
122 470.740 F- E+ 21/16, 59/45, 80/61, 88/67, 130/99, 97/74
123 474.598 F 25/19, 46/35, 71/54, 79/60, 96/73, 67/51
124 478.457 F+ 29/22, 54/41, 83/63, 91/69, 95/72, 112/85, 120/91, 128/97, 104/79
125 482.315 F- 33/25, 37/28, 41/31, 70/53, 78/59, 62/47, 94/71
126 486.174 F 45/34, 49/37, 53/40, 57/43, 86/65, 102/77, 110/83, 61/46
127 490.032 F+ 65/49, 69/52, 73/55, 77/58, 85/64, 89/67, 118/89, 126/95
128 493.891 F- 97/73, 81/61, 93/70
129 497.749 F 4/3
130 501.608 F+ 147/110, 163/122, 322/241, 79/59, 95/71
131 505.466 F- 75/56, 83/62, 87/65, 91/68, 99/74, 130/97, 122/91
132 509.325 F 47/35, 51/38, 55/41, 59/44, 90/67, 98/73, 106/79, 114/85, 63/47, 67/50, 71/53
133 513.183 F+ 35/26, 39/29, 43/32, 74/55, 82/61
134 517.042 F- 31/23, 58/43, 66/49, 85/63, 89/66, 97/72, 112/83, 120/89, 128/95
135 520.900 F 27/20, 50/37, 73/54, 77/57, 96/71, 104/77
136 524.759 F+ Gb- 23/17, 42/31, 61/45, 65/48, 88/65, 134/99, 80/59
137 528.617 F- Gb 19/14, 91/67, 99/73, 110/81, 118/87, 53/39
138 532.476 F Gb+ 34/25, 49/36, 87/64, 132/97, 72/53, 79/58, 94/69
139 536.334 F+ Gb- 15/11, 64/47, 124/91, 83/61
140 540.193 F- Gb 41/30, 56/41, 71/52, 86/63, 97/71, 116/85
141 544.051 F Gb+ 26/19, 37/27, 63/46, 89/65, 100/73, 67/49, 85/62, 93/68, 108/79, 122/89
142 547.910 F+ Gb- 48/35, 59/43, 70/51, 81/59, 92/67, 114/83, 136/99
143 551.768 F- Gb F#- 11/8, 95/69, 106/77, 128/93
144 555.627 F Gb+ F# 40/29, 51/37, 62/45, 73/53, 84/61, 91/66, 98/71
145 559.486 F+ Gb- F#+ 29/21, 47/34, 69/50, 76/55, 112/81, 134/97
146 563.344 Gb F#- 18/13, 79/57, 83/60, 61/44, 65/47
147 567.203 Gb+ F# 25/18, 43/31, 68/49, 93/67, 104/75, 82/59, 97/70
148 571.061 Gb- F#+ 32/23, 57/41, 89/64, 132/95, 118/85
149 574.920 Gb F#- 39/28, 46/33, 53/38, 60/43, 85/61, 99/71, 110/79, 124/89, 71/51
150 578.778 Gb+ F# 67/48, 74/53, 81/58, 88/63, 95/68, 102/73, 116/83, 130/93
151 582.637 Gb- F#+ 7/5, 94/67, 122/87, 136/97
152 586.495 Gb F#- 73/52, 80/57, 87/62, 108/77
153 590.354 Gb+ F# 38/27, 45/32, 52/37, 83/59, 97/69, 128/91, 59/42, 66/47, 100/71
154 594.212 Gb- F#+ 31/22, 55/39, 69/49, 79/56
155 598.071 Gb F#- 24/17, 41/29, 65/46, 89/63, 106/75, 140/99, 86/61, 134/95
156 601.929 Gb+ F# 17/12, 58/41, 75/53, 92/65, 99/70, 126/89, 61/43, 95/67
157 605.788 Gb- F#+ 44/31, 78/55, 98/69, 112/79
158 609.646 Gb F#- 27/19, 37/26, 64/45, 91/64, 118/83, 138/97, 47/33, 71/50, 84/59
159 613.505 Gb+ F# 57/40, 77/54, 104/73, 124/87
160 617.363 Gb- F#+ 10/7, 67/47, 87/61, 97/68
161 621.222 Gb F#- 53/37, 63/44, 73/51, 83/58, 93/65, 96/67, 116/81, 136/95
162 625.080 Gb+ F# 33/23, 43/30, 56/39, 76/53, 79/55, 89/62, 122/85, 142/99, 102/71
163 628.939 Gb- F#+ 23/16, 82/57, 95/66, 128/89, 85/59
164 632.797 Gb F#- 36/25, 49/34, 62/43, 75/52, 134/93, 59/41, 140/97
165 636.656 Gb+ F# 13/9, 114/79, 120/83, 88/61, 94/65
166 640.514 G- Gb- F#+ 42/29, 55/38, 68/47, 81/56, 97/67, 100/69
167 644.373 G Gb F#- 29/20, 45/31, 61/42, 74/51, 106/73, 132/91, 71/49
168 648.232 G+ Gb+ F# 16/11, 77/53, 93/64, 138/95
169 652.090 G- F#+ 35/24, 51/35, 67/46, 83/57, 86/59, 99/68, 118/81
170 655.949 G F#- 19/13, 54/37, 73/50, 92/63, 130/89, 79/54, 89/61, 98/67, 124/85, 136/93
171 659.807 G+ F# 41/28, 60/41, 63/43, 85/58, 104/71, 142/97
172 663.666 G- F#+ 22/15, 47/32, 91/62, 122/83
173 667.524 G F#- 25/17, 72/49, 97/66, 128/87, 53/36, 69/47, 116/79
174 671.383 G+ F# 28/19, 81/55, 87/59, 134/91, 146/99, 78/53
175 675.241 G- F#+ 31/21, 34/23, 65/44, 90/61, 96/65, 99/67, 59/40
176 679.100 G 37/25, 40/27, 71/48, 77/52, 108/73, 114/77
177 682.958 G+ 43/29, 46/31, 49/33, 83/56, 89/60, 95/64, 126/85, 132/89, 144/97
178 686.817 G- 52/35, 55/37, 58/39, 61/41, 64/43
179 690.675 G 67/45, 70/47, 73/49, 76/51, 79/53, 82/55, 85/57, 88/59, 94/63, 100/67, 106/71
180 694.534 G+ 97/65, 112/75, 124/83, 130/87, 136/91, 148/99, 91/61
181 698.392 G- 220/147, 241/161, 244/163, 118/79, 142/95
182 702.251 G 3/2
183 706.109 G+ 146/97, 122/81, 140/93
184 709.968 G- 89/59, 95/63, 98/65, 104/69, 110/73, 116/77, 128/85, 134/89
185 713.826 G 65/43, 68/45, 74/49, 77/51, 80/53, 83/55, 86/57, 92/61
186 717.685 G+ 50/33, 53/35, 56/37, 59/39, 62/41, 47/31, 71/47
187 721.543 G- 41/27, 44/29, 85/56, 91/60, 97/64, 126/83, 138/91, 144/95, 79/52
188 725.402 G 35/23, 38/25, 73/48, 108/71, 120/79, 102/67
189 729.260 G+ Ab- 32/21, 61/40, 67/44, 90/59, 99/65, 148/97
190 733.119 G- Ab 29/19, 55/36, 84/55, 136/89, 142/93, 93/61
191 736.977 G Ab+ 26/17, 49/32, 75/49, 95/62, 124/81, 81/53
192 740.836 G+ Ab- 23/15, 66/43, 89/58, 112/73, 118/77, 152/99, 72/47, 106/69
193 744.695 G- Ab 20/13, 63/41, 83/54, 146/95, 43/28
194 748.553 G Ab+ 37/24, 57/37, 77/50, 91/59, 94/61, 97/63, 128/83, 134/87
195 752.412 G+ Ab- 17/11, 54/35, 71/46, 88/57, 122/79, 150/97
196 756.270 G- Ab G#- 48/31, 65/42, 79/51, 82/53, 99/64, 110/71, 116/75
197 760.129 G Ab+ G# 31/20, 45/29, 76/49, 104/67, 138/89
198 763.987 G+ Ab- G#+ 14/9, 73/47, 87/56, 59/38, 132/85
199 767.846 Ab G#- 53/34, 67/43, 81/52, 92/59, 95/61, 120/77, 148/95
200 771.704 Ab+ G# 25/16, 39/25, 64/41, 89/57, 114/73, 136/87, 142/91, 61/39
201 775.563 Ab- G#+ 36/23, 47/30, 86/55, 97/62, 130/83, 152/97
202 779.421 Ab G#- 58/37, 69/44, 80/51, 91/58, 102/65, 146/93, 83/53
203 783.280 Ab+ G# 11/7, 140/89, 85/54, 124/79
204 787.138 Ab- G#+ 41/26, 52/33, 63/40, 74/47, 93/59, 96/61, 112/71, 118/75
205 790.997 Ab G#- 30/19, 49/31, 71/45, 79/50, 128/81, 68/43, 106/67, 134/85
206 794.855 Ab+ G# 19/12, 87/55, 122/77, 144/91
207 798.714 Ab- G#+ 46/29, 65/41, 73/46, 84/53, 100/63, 154/97
208 802.572 Ab G#- 27/17, 35/22, 62/39, 89/56, 116/73, 132/83, 148/93, 94/59
209 806.431 Ab+ G# 43/27, 51/32, 78/49, 110/69, 97/61, 158/99
210 810.289 Ab- G#+ 67/42, 75/47, 83/52, 91/57, 99/62, 142/89, 59/37, 126/79
211 814.148 Ab G#- 8/5
212 818.006 Ab+ G# 61/38, 69/43, 77/48, 85/53, 93/58, 114/71, 130/81, 146/91, 53/33
213 821.865 Ab- G#+ 37/23, 45/28, 82/51, 98/61, 140/87, 156/97, 95/59
214 825.723 Ab G#- 29/18, 50/31, 66/41, 79/49, 108/67, 124/77
215 829.582 Ab+ G# 21/13, 71/44, 92/57, 134/83, 160/99
216 833.441 Ab- G#+ 34/21, 55/34, 76/47, 89/55, 97/60, 144/89, 47/29, 118/73
217 837.299 Ab G#- 60/37, 73/45, 112/69, 128/79, 154/95, 81/50
218 841.158 Ab+ G# 13/8, 96/59, 122/75, 148/91, 70/43, 86/53, 99/61, 138/85, 158/97
219 845.016 A- Ab- G#+ 44/27, 57/35, 75/46, 83/51, 106/65
220 848.875 A Ab G#- 31/19, 49/30, 80/49, 85/52, 116/71, 142/87, 152/93
221 852.733 A+ Ab+ G# 18/11, 95/58, 67/41, 136/83
222 856.592 A- G#+ 41/25, 59/36, 64/39, 100/61, 110/67, 146/89, 77/47
223 860.450 A G#- 23/14, 51/31, 74/45, 97/59, 120/73, 156/95, 79/48, 87/53
224 864.309 A+ G# 28/17, 61/37, 89/54, 94/57, 150/91, 130/79, 160/97
225 868.167 A- G#+ 33/20, 38/23, 71/43, 104/63
226 872.026 A G#- 43/26, 48/29, 53/32, 81/49, 91/55, 124/75, 134/81, 154/93, 164/99
227 875.884 A+ G# 58/35, 63/38, 68/41, 73/44, 98/59
228 879.743 A- G#+ 93/56, 108/65, 118/71, 128/77, 138/83, 148/89, 158/95, 78/47, 83/50, 88/53
229 883.601 A 5/3
230 887.460 A+ 122/73, 152/91, 162/97, 112/67
231 891.318 A- 72/43, 77/46, 82/49, 87/52, 92/55, 97/58, 102/61, 132/79, 142/85
232 895.177 A 47/28, 52/31, 57/34, 62/37, 99/59, 146/87, 166/99, 67/40, 136/81
233 899.035 A+ 37/22, 42/25, 79/47, 89/53, 106/63, 116/69
234 902.894 A- 32/19, 69/41, 91/54, 150/89, 140/83
235 906.752 A 27/16, 49/29, 76/45, 120/71, 130/77, 59/35, 86/51, 164/97
236 910.611 A+ 22/13, 71/42, 93/55, 61/36, 100/59
237 914.469 A- 39/23, 56/33, 73/43, 95/56, 144/85, 83/49, 158/93
238 918.328 A 17/10, 90/53, 114/67, 124/73, 148/87, 134/79
239 922.186 A+ 46/27, 63/37, 75/44, 80/47, 97/57
240 926.045 A- 29/17, 41/24, 70/41, 94/55, 99/58, 128/75, 152/89, 53/31, 104/61, 162/95
241 929.904 A 65/38, 77/45, 89/52, 118/69, 142/83, 166/97
242 933.762 A+ Bb- 12/7, 79/46, 122/71, 170/99
243 937.621 A- Bb 55/32, 67/39, 91/53, 98/57, 146/85, 160/93, 74/43
244 941.479 A Bb+ 31/18, 50/29, 112/65, 136/79, 43/25
245 945.338 A+ Bb- 19/11, 69/40, 88/51, 126/73, 164/95, 81/47, 102/59, 140/81
246 949.196 A- Bb 45/26, 64/37, 83/48, 116/67, 154/89, 168/97
247 953.055 A Bb+ 26/15, 85/49, 144/83, 71/41, 97/56, 158/91
248 956.913 A+ Bb- 33/19, 40/23, 73/42, 106/61, 172/99, 47/27, 59/34, 92/53
249 960.772 A- Bb A#- 54/31, 61/35, 68/39, 87/50, 134/77, 148/85, 75/43
250 964.630 A Bb+ A# 82/47, 89/51, 96/55, 110/63, 124/71, 152/87
251 968.489 A+ Bb- A#+ 7/4, 138/79, 166/95, 170/97
252 972.347 Bb A#- 100/57, 114/65, 128/73, 142/81, 156/89, 79/45
253 976.206 Bb+ A# 51/29, 58/33, 65/37, 72/41, 95/54, 146/83, 160/91, 86/49, 93/53
254 980.064 Bb- A#+ 37/21, 44/25, 81/46, 104/59, 118/67, 164/93
255 983.923 Bb A#- 30/17, 53/30, 97/55, 136/77, 67/38, 76/43, 122/69
256 987.781 Bb+ A# 23/13, 85/48, 99/56, 154/87, 168/95, 83/47
257 991.640 Bb- A#+ 39/22, 55/31, 62/35, 94/53, 126/71, 140/79, 172/97, 108/61, 158/89
258 995.498 Bb A#- 16/9, 87/49, 71/40
259 999.357 Bb+ A# 41/23, 57/32, 73/41, 89/50, 98/55, 130/73, 162/91, 148/83
260 1003.215 Bb- A#+ 25/14, 66/37, 91/51, 116/65, 166/93
261 1007.074 Bb A#- 34/19, 59/33, 77/43, 84/47, 93/52, 120/67, 152/85, 134/75
262 1010.932 Bb+ A# 43/24, 52/29, 61/34, 70/39, 95/53, 138/77, 174/97, 79/44, 106/59
263 1014.791 Bb- A#+ 88/49, 97/54, 124/69, 160/89, 178/99
264 1018.650 Bb A#- 9/5, 128/71, 146/81, 164/91, 142/79
265 1022.508 Bb+ A# 56/31, 65/36, 74/41, 83/46, 92/51, 110/61, 47/26, 150/83
266 1026.367 Bb- A#+ 38/21, 85/47, 132/73
267 1030.225 Bb A#- 29/16, 49/27, 78/43, 96/53, 136/75, 154/85, 176/97, 67/37, 158/87, 172/95
268 1034.084 Bb+ A# 20/11, 69/38, 89/49, 118/65, 122/67
269 1037.942 Bb- A#+ 51/28, 71/39, 82/45, 91/50, 162/89
270 1041.801 Bb A#- 31/17, 42/23, 73/40, 95/52, 104/57, 148/81, 166/91, 53/29, 144/79, 170/93
271 1045.659 Bb+ A# 64/35, 75/41, 108/59, 130/71, 152/83
272 1049.518 B- Bb- A#+ 11/6, 174/95, 178/97, 79/43, 86/47, 97/53
273 1053.376 B Bb A#- 57/31, 68/37, 90/49, 112/61, 134/73, 160/87, 182/99, 156/85
274 1057.235 B+ Bb+ A# 35/19, 46/25, 81/44, 94/51, 116/63, 164/89
275 1061.093 B- A#+ 24/13, 59/32, 83/45, 85/46, 142/77, 61/33
276 1064.952 B A#- 37/20, 50/27, 98/53, 124/67, 146/79, 172/93
277 1068.810 B+ A# 63/34, 76/41, 89/48, 102/55, 128/69, 154/83, 176/95, 180/97, 87/47
278 1072.669 B- A#+ 13/7, 106/57, 132/71, 158/85, 184/99, 80/43
279 1076.527 B A#- 41/22, 54/29, 67/36, 95/51, 136/73, 93/50, 110/59
280 1080.386 B+ A# 28/15, 69/37, 97/52, 166/89, 170/91
281 1084.244 B- A#+ 43/23, 58/31, 73/39, 114/61, 144/77, 71/38, 99/53
282 1088.103 B 15/8, 118/63, 148/79, 152/81, 178/95, 182/97, 88/47, 122/65
283 1091.961 B+ 47/25, 62/33, 77/41, 79/42, 92/49, 126/67, 156/83
284 1095.820 B- 32/17, 49/26, 81/43, 130/69, 164/87
285 1099.678 B 17/9, 66/35, 83/44, 100/53, 134/71, 168/89
286 1103.537 B+ 53/28, 70/37, 87/46, 104/55, 138/73, 172/91, 176/93
287 1107.395 B- 36/19, 55/29, 74/39, 91/48, 146/77, 184/97, 89/47, 112/59, 142/75, 188/99
288 1111.254 B 19/10, 93/49, 150/79, 154/81, 158/83
289 1115.113 B+ 40/21, 59/31, 61/32, 78/41, 99/52, 82/43, 97/51, 116/61
290 1118.971 B- 21/11, 124/65, 128/67, 166/87, 170/89, 162/85
291 1122.830 B 44/23, 65/34, 86/45, 174/91, 178/93, 136/71
292 1126.688 B+ 23/12, 94/49, 140/73, 182/95, 186/97, 190/99, 67/35, 90/47
293 1130.547 B- 25/13, 48/25, 73/38, 98/51, 148/77, 71/37
294 1134.405 B 52/27, 77/40, 79/41, 102/53, 106/55, 152/79, 160/83
295 1138.264 B+ C- 27/14, 56/29, 83/43, 85/44, 110/57, 164/85, 114/59
296 1142.122 B- C 29/15, 60/31, 89/46, 172/89, 176/91, 122/63, 188/97
297 1145.981 B C+ 31/16, 64/33, 95/49, 126/65, 130/67, 184/95, 91/47, 118/61
298 1149.839 B+ C- 33/17, 35/18, 68/35, 134/69, 138/71, 97/50
299 1153.698 B- C 37/19, 72/37, 76/39, 142/73, 146/75, 150/77, 158/81
300 1157.556 B C+ 39/20, 41/21, 80/41, 84/43, 162/83, 154/79, 170/87
301 1161.415 C- B+ 43/22, 45/23, 88/45, 174/89, 178/91, 182/93, 47/24, 166/85, 190/97
302 1165.273 C B- 49/25, 51/26, 96/49, 100/51, 194/99, 53/27, 92/47, 186/95
303 1169.132 C+ B 55/28, 57/29, 108/55, 112/57, 116/59, 61/31, 104/53
304 1172.990 C- B+ 63/32, 65/33, 120/61, 124/63, 128/65, 132/67, 136/69, 59/30, 140/71
305 1176.849 C 69/35, 71/36, 73/37, 75/38, 77/39, 79/40, 144/73, 148/75, 152/77, 160/81, 67/34, 85/43, 164/83
306 1180.707 C+ 83/42, 87/44, 89/45, 91/46, 95/48, 168/85, 172/87, 176/89, 180/91, 184/93, 188/95, 192/97, 196/99, 81/41, 156/79
307 1184.566 C- 335/169, 93/47, 97/49, 99/50
308 1188.424 C 135/68, 149/75
309 1192.283 C+ 169/85, 223/112, 448/225
310 1196.141 C- 299/150, 896/449
311 1200.000 C 2/1
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