User:Userminusone/Proposed Polychromatic Notation for 311edo

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:

salmon (#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 salmon".

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