336edo

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← 335edo 336edo 337edo →
Prime factorization 24 × 3 × 7
Step size 3.57143 ¢ 
Fifth 197\336 (703.571 ¢)
Semitones (A1:m2) 35:23 (125 ¢ : 82.14 ¢)
Dual sharp fifth 197\336 (703.571 ¢)
Dual flat fifth 196\336 (700 ¢) (→ 7\12)
Dual major 2nd 57\336 (203.571 ¢) (→ 19\112)
Consistency limit 3
Distinct consistency limit 3

336 equal divisions of the octave (abbreviated 336edo or 336ed2), also called 336-tone equal temperament (336tet) or 336 equal temperament (336et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 336 equal parts of about 3.57 ¢ each. Each step represents a frequency ratio of 21/336, or the 336th root of 2.

336edo has poor approximation for harmonic 3, therefore it naturally yields a 2.9 subgroup interpretation. In the 2.9.5.7 subgroup, it tempers out the schisma and the landscape comma.

Nonetheless, there are a number of mappings to be considered. Using the 336d val in the 7-limit, 336edo tempers out the octagar comma, 4000/3969, and 336def val tunes the slithy temperament in the 13-limit. 336cefg val is a tuning for the stalagmite temperament in the 19-limit. 336b val uses the 12edo mapping for 3/2 and tunes the 24th-octave rabic temperament.

Odd harmonics

Approximation of odd harmonics in 336edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +1.62 -0.60 -0.97 -0.34 -1.32 -1.24 +1.02 -1.38 -1.08 +0.65 +0.30
Relative (%) +45.3 -16.8 -27.1 -9.5 -36.9 -34.8 +28.5 -38.8 -30.4 +18.1 +8.3
Steps
(reduced) 		533
(197) 		780
(108) 		943
(271) 		1065
(57) 		1162
(154) 		1243
(235) 		1313
(305) 		1373
(29) 		1427
(83) 		1476
(132) 		1520
(176)

Intervals

Steps Cents Approximate ratios Ups and downs notation
(Dual flat fifth 196\336) 		Ups and downs notation
(Dual sharp fifth 197\336)
0 0 1/1 D D
1 3.57 ^D, ^E♭♭ ^D, ^13E♭♭
2 7.14 ^^D, ^^E♭♭ ^^D, ^14E♭♭
3 10.71 ^3D, ^3E♭♭ ^3D, ^15E♭♭
4 14.29 ^4D, ^4E♭♭ ^4D, ^16E♭♭
5 17.86 95/94 ^5D, ^5E♭♭ ^5D, ^17E♭♭
6 21.43 ^6D, ^6E♭♭ ^6D, v17E♭
7 25 ^7D, ^7E♭♭ ^7D, v16E♭
8 28.57 ^8D, ^8E♭♭ ^8D, v15E♭
9 32.14 ^9D, ^9E♭♭ ^9D, v14E♭
10 35.71 ^10D, ^10E♭♭ ^10D, v13E♭
11 39.29 44/43 ^11D, ^11E♭♭ ^11D, v12E♭
12 42.86 41/40 ^12D, ^12E♭♭ ^12D, v11E♭
13 46.43 38/37 ^13D, ^13E♭♭ ^13D, v10E♭
14 50 35/34 ^14D, v14E♭ ^14D, v9E♭
15 53.57 33/32, 98/95 v13D♯, v13E♭ ^15D, v8E♭
16 57.14 31/30 v12D♯, v12E♭ ^16D, v7E♭
17 60.71 29/28 v11D♯, v11E♭ ^17D, v6E♭
18 64.29 v10D♯, v10E♭ v17D♯, v5E♭
19 67.86 26/25 v9D♯, v9E♭ v16D♯, v4E♭
20 71.43 v8D♯, v8E♭ v15D♯, v3E♭
21 75 95/91 v7D♯, v7E♭ v14D♯, vvE♭
22 78.57 68/65 v6D♯, v6E♭ v13D♯, vE♭
23 82.14 43/41 v5D♯, v5E♭ v12D♯, E♭
24 85.71 v4D♯, v4E♭ v11D♯, ^E♭
25 89.29 20/19 v3D♯, v3E♭ v10D♯, ^^E♭
26 92.86 vvD♯, vvE♭ v9D♯, ^3E♭
27 96.43 37/35, 92/87 vD♯, vE♭ v8D♯, ^4E♭
28 100 D♯, E♭ v7D♯, ^5E♭
29 103.57 ^D♯, ^E♭ v6D♯, ^6E♭
30 107.14 50/47 ^^D♯, ^^E♭ v5D♯, ^7E♭
31 110.71 ^3D♯, ^3E♭ v4D♯, ^8E♭
32 114.29 47/44 ^4D♯, ^4E♭ v3D♯, ^9E♭
33 117.86 91/85 ^5D♯, ^5E♭ vvD♯, ^10E♭
34 121.43 ^6D♯, ^6E♭ vD♯, ^11E♭
35 125 43/40 ^7D♯, ^7E♭ D♯, ^12E♭
36 128.57 14/13 ^8D♯, ^8E♭ ^D♯, ^13E♭
37 132.14 41/38, 95/88 ^9D♯, ^9E♭ ^^D♯, ^14E♭
38 135.71 ^10D♯, ^10E♭ ^3D♯, ^15E♭
39 139.29 ^11D♯, ^11E♭ ^4D♯, ^16E♭
40 142.86 38/35 ^12D♯, ^12E♭ ^5D♯, ^17E♭
41 146.43 37/34 ^13D♯, ^13E♭ ^6D♯, v17E
42 150 ^14D♯, v14E ^7D♯, v16E
43 153.57 47/43 v13D𝄪, v13E ^8D♯, v15E
44 157.14 23/21, 104/95 v12D𝄪, v12E ^9D♯, v14E
45 160.71 v11D𝄪, v11E ^10D♯, v13E
46 164.29 v10D𝄪, v10E ^11D♯, v12E
47 167.86 v9D𝄪, v9E ^12D♯, v11E
48 171.43 85/77 v8D𝄪, v8E ^13D♯, v10E
49 175 52/47 v7D𝄪, v7E ^14D♯, v9E
50 178.57 51/46 v6D𝄪, v6E ^15D♯, v8E
51 182.14 v5D𝄪, v5E ^16D♯, v7E
52 185.71 69/62 v4D𝄪, v4E ^17D♯, v6E
53 189.29 29/26 v3D𝄪, v3E v17D𝄪, v5E
54 192.86 19/17 vvD𝄪, vvE v16D𝄪, v4E
55 196.43 28/25 vD𝄪, vE v15D𝄪, v3E
56 200 55/49, 64/57 E v14D𝄪, vvE
57 203.57 ^E, ^F♭ v13D𝄪, vE
58 207.14 ^^E, ^^F♭ E
59 210.71 ^3E, ^3F♭ ^E, ^13F♭
60 214.29 43/38 ^4E, ^4F♭ ^^E, ^14F♭
61 217.86 ^5E, ^5F♭ ^3E, ^15F♭
62 221.43 25/22 ^6E, ^6F♭ ^4E, ^16F♭
63 225 74/65 ^7E, ^7F♭ ^5E, ^17F♭
64 228.57 ^8E, ^8F♭ ^6E, v17F
65 232.14 ^9E, ^9F♭ ^7E, v16F
66 235.71 ^10E, ^10F♭ ^8E, v15F
67 239.29 ^11E, ^11F♭ ^9E, v14F
68 242.86 ^12E, ^12F♭ ^10E, v13F
69 246.43 98/85 ^13E, ^13F♭ ^11E, v12F
70 250 ^14E, v14F ^12E, v11F
71 253.57 22/19 v13E♯, v13F ^13E, v10F
72 257.14 29/25 v12E♯, v12F ^14E, v9F
73 260.71 43/37, 50/43 v11E♯, v11F ^15E, v8F
74 264.29 v10E♯, v10F ^16E, v7F
75 267.86 v9E♯, v9F ^17E, v6F
76 271.43 v8E♯, v8F v17E♯, v5F
77 275 34/29, 75/64 v7E♯, v7F v16E♯, v4F
78 278.57 v6E♯, v6F v15E♯, v3F
79 282.14 v5E♯, v5F v14E♯, vvF
80 285.71 46/39 v4E♯, v4F v13E♯, vF
81 289.29 13/11 v3E♯, v3F F
82 292.86 77/65 vvE♯, vvF ^F, ^13G♭♭
83 296.43 vE♯, vF ^^F, ^14G♭♭
84 300 44/37 F ^3F, ^15G♭♭
85 303.57 56/47 ^F, ^G♭♭ ^4F, ^16G♭♭
86 307.14 ^^F, ^^G♭♭ ^5F, ^17G♭♭
87 310.71 ^3F, ^3G♭♭ ^6F, v17G♭
88 314.29 ^4F, ^4G♭♭ ^7F, v16G♭
89 317.86 ^5F, ^5G♭♭ ^8F, v15G♭
90 321.43 ^6F, ^6G♭♭ ^9F, v14G♭
91 325 35/29 ^7F, ^7G♭♭ ^10F, v13G♭
92 328.57 52/43 ^8F, ^8G♭♭ ^11F, v12G♭
93 332.14 ^9F, ^9G♭♭ ^12F, v11G♭
94 335.71 17/14 ^10F, ^10G♭♭ ^13F, v10G♭
95 339.29 ^11F, ^11G♭♭ ^14F, v9G♭
96 342.86 39/32 ^12F, ^12G♭♭ ^15F, v8G♭
97 346.43 ^13F, ^13G♭♭ ^16F, v7G♭
98 350 ^14F, v14G♭ ^17F, v6G♭
99 353.57 92/75 v13F♯, v13G♭ v17F♯, v5G♭
100 357.14 v12F♯, v12G♭ v16F♯, v4G♭
101 360.71 v11F♯, v11G♭ v15F♯, v3G♭
102 364.29 58/47, 95/77 v10F♯, v10G♭ v14F♯, vvG♭
103 367.86 47/38, 68/55 v9F♯, v9G♭ v13F♯, vG♭
104 371.43 57/46 v8F♯, v8G♭ v12F♯, G♭
105 375 v7F♯, v7G♭ v11F♯, ^G♭
106 378.57 v6F♯, v6G♭ v10F♯, ^^G♭
107 382.14 v5F♯, v5G♭ v9F♯, ^3G♭
108 385.71 5/4 v4F♯, v4G♭ v8F♯, ^4G♭
109 389.29 v3F♯, v3G♭ v7F♯, ^5G♭
110 392.86 64/51 vvF♯, vvG♭ v6F♯, ^6G♭
111 396.43 44/35 vF♯, vG♭ v5F♯, ^7G♭
112 400 F♯, G♭ v4F♯, ^8G♭
113 403.57 ^F♯, ^G♭ v3F♯, ^9G♭
114 407.14 43/34 ^^F♯, ^^G♭ vvF♯, ^10G♭
115 410.71 ^3F♯, ^3G♭ vF♯, ^11G♭
116 414.29 47/37 ^4F♯, ^4G♭ F♯, ^12G♭
117 417.86 14/11 ^5F♯, ^5G♭ ^F♯, ^13G♭
118 421.43 37/29 ^6F♯, ^6G♭ ^^F♯, ^14G♭
119 425 ^7F♯, ^7G♭ ^3F♯, ^15G♭
120 428.57 41/32 ^8F♯, ^8G♭ ^4F♯, ^16G♭
121 432.14 95/74 ^9F♯, ^9G♭ ^5F♯, ^17G♭
122 435.71 ^10F♯, ^10G♭ ^6F♯, v17G
123 439.29 ^11F♯, ^11G♭ ^7F♯, v16G
124 442.86 31/24 ^12F♯, ^12G♭ ^8F♯, v15G
125 446.43 22/17 ^13F♯, ^13G♭ ^9F♯, v14G
126 450 ^14F♯, v14G ^10F♯, v13G
127 453.57 v13F𝄪, v13G ^11F♯, v12G
128 457.14 56/43 v12F𝄪, v12G ^12F♯, v11G
129 460.71 v11F𝄪, v11G ^13F♯, v10G
130 464.29 17/13 v10F𝄪, v10G ^14F♯, v9G
131 467.86 38/29 v9F𝄪, v9G ^15F♯, v8G
132 471.43 v8F𝄪, v8G ^16F♯, v7G
133 475 25/19 v7F𝄪, v7G ^17F♯, v6G
134 478.57 29/22 v6F𝄪, v6G v17F𝄪, v5G
135 482.14 37/28 v5F𝄪, v5G v16F𝄪, v4G
136 485.71 49/37 v4F𝄪, v4G v15F𝄪, v3G
137 489.29 65/49 v3F𝄪, v3G v14F𝄪, vvG
138 492.86 vvF𝄪, vvG v13F𝄪, vG
139 496.43 vF𝄪, vG G
140 500 G ^G, ^13A♭♭
141 503.57 ^G, ^A♭♭ ^^G, ^14A♭♭
142 507.14 ^^G, ^^A♭♭ ^3G, ^15A♭♭
143 510.71 47/35 ^3G, ^3A♭♭ ^4G, ^16A♭♭
144 514.29 35/26, 74/55 ^4G, ^4A♭♭ ^5G, ^17A♭♭
145 517.86 58/43 ^5G, ^5A♭♭ ^6G, v17A♭
146 521.43 50/37 ^6G, ^6A♭♭ ^7G, v16A♭
147 525 88/65 ^7G, ^7A♭♭ ^8G, v15A♭
148 528.57 19/14 ^8G, ^8A♭♭ ^9G, v14A♭
149 532.14 34/25 ^9G, ^9A♭♭ ^10G, v13A♭
150 535.71 ^10G, ^10A♭♭ ^11G, v12A♭
151 539.29 56/41 ^11G, ^11A♭♭ ^12G, v11A♭
152 542.86 26/19 ^12G, ^12A♭♭ ^13G, v10A♭
153 546.43 ^13G, ^13A♭♭ ^14G, v9A♭
154 550 ^14G, v14A♭ ^15G, v8A♭
155 553.57 v13G♯, v13A♭ ^16G, v7A♭
156 557.14 40/29 v12G♯, v12A♭ ^17G, v6A♭
157 560.71 47/34 v11G♯, v11A♭ v17G♯, v5A♭
158 564.29 v10G♯, v10A♭ v16G♯, v4A♭
159 567.86 68/49 v9G♯, v9A♭ v15G♯, v3A♭
160 571.43 32/23 v8G♯, v8A♭ v14G♯, vvA♭
161 575 46/33 v7G♯, v7A♭ v13G♯, vA♭
162 578.57 95/68 v6G♯, v6A♭ v12G♯, A♭
163 582.14 7/5 v5G♯, v5A♭ v11G♯, ^A♭
164 585.71 v4G♯, v4A♭ v10G♯, ^^A♭
165 589.29 52/37 v3G♯, v3A♭ v9G♯, ^3A♭
166 592.86 vvG♯, vvA♭ v8G♯, ^4A♭
167 596.43 vG♯, vA♭ v7G♯, ^5A♭
168 600 41/29, 58/41 G♯, A♭ v6G♯, ^6A♭
169 603.57 ^G♯, ^A♭ v5G♯, ^7A♭
170 607.14 ^^G♯, ^^A♭ v4G♯, ^8A♭
171 610.71 37/26 ^3G♯, ^3A♭ v3G♯, ^9A♭
172 614.29 ^4G♯, ^4A♭ vvG♯, ^10A♭
173 617.86 10/7 ^5G♯, ^5A♭ vG♯, ^11A♭
174 621.43 ^6G♯, ^6A♭ G♯, ^12A♭
175 625 33/23 ^7G♯, ^7A♭ ^G♯, ^13A♭
176 628.57 23/16 ^8G♯, ^8A♭ ^^G♯, ^14A♭
177 632.14 49/34 ^9G♯, ^9A♭ ^3G♯, ^15A♭
178 635.71 ^10G♯, ^10A♭ ^4G♯, ^16A♭
179 639.29 68/47 ^11G♯, ^11A♭ ^5G♯, ^17A♭
180 642.86 29/20 ^12G♯, ^12A♭ ^6G♯, v17A
181 646.43 ^13G♯, ^13A♭ ^7G♯, v16A
182 650 ^14G♯, v14A ^8G♯, v15A
183 653.57 v13G𝄪, v13A ^9G♯, v14A
184 657.14 19/13 v12G𝄪, v12A ^10G♯, v13A
185 660.71 41/28 v11G𝄪, v11A ^11G♯, v12A
186 664.29 v10G𝄪, v10A ^12G♯, v11A
187 667.86 25/17 v9G𝄪, v9A ^13G♯, v10A
188 671.43 28/19 v8G𝄪, v8A ^14G♯, v9A
189 675 65/44 v7G𝄪, v7A ^15G♯, v8A
190 678.57 37/25 v6G𝄪, v6A ^16G♯, v7A
191 682.14 43/29 v5G𝄪, v5A ^17G♯, v6A
192 685.71 52/35, 55/37 v4G𝄪, v4A v17G𝄪, v5A
193 689.29 70/47 v3G𝄪, v3A v16G𝄪, v4A
194 692.86 vvG𝄪, vvA v15G𝄪, v3A
195 696.43 vG𝄪, vA v14G𝄪, vvA
196 700 A v13G𝄪, vA
197 703.57 ^A, ^B♭♭ A
198 707.14 ^^A, ^^B♭♭ ^A, ^13B♭♭
199 710.71 98/65 ^3A, ^3B♭♭ ^^A, ^14B♭♭
200 714.29 74/49 ^4A, ^4B♭♭ ^3A, ^15B♭♭
201 717.86 56/37 ^5A, ^5B♭♭ ^4A, ^16B♭♭
202 721.43 44/29 ^6A, ^6B♭♭ ^5A, ^17B♭♭
203 725 38/25 ^7A, ^7B♭♭ ^6A, v17B♭
204 728.57 ^8A, ^8B♭♭ ^7A, v16B♭
205 732.14 29/19 ^9A, ^9B♭♭ ^8A, v15B♭
206 735.71 26/17 ^10A, ^10B♭♭ ^9A, v14B♭
207 739.29 ^11A, ^11B♭♭ ^10A, v13B♭
208 742.86 43/28 ^12A, ^12B♭♭ ^11A, v12B♭
209 746.43 ^13A, ^13B♭♭ ^12A, v11B♭
210 750 ^14A, v14B♭ ^13A, v10B♭
211 753.57 17/11 v13A♯, v13B♭ ^14A, v9B♭
212 757.14 48/31 v12A♯, v12B♭ ^15A, v8B♭
213 760.71 v11A♯, v11B♭ ^16A, v7B♭
214 764.29 v10A♯, v10B♭ ^17A, v6B♭
215 767.86 v9A♯, v9B♭ v17A♯, v5B♭
216 771.43 64/41 v8A♯, v8B♭ v16A♯, v4B♭
217 775 v7A♯, v7B♭ v15A♯, v3B♭
218 778.57 58/37 v6A♯, v6B♭ v14A♯, vvB♭
219 782.14 11/7 v5A♯, v5B♭ v13A♯, vB♭
220 785.71 74/47 v4A♯, v4B♭ v12A♯, B♭
221 789.29 v3A♯, v3B♭ v11A♯, ^B♭
222 792.86 68/43 vvA♯, vvB♭ v10A♯, ^^B♭
223 796.43 vA♯, vB♭ v9A♯, ^3B♭
224 800 A♯, B♭ v8A♯, ^4B♭
225 803.57 35/22 ^A♯, ^B♭ v7A♯, ^5B♭
226 807.14 51/32 ^^A♯, ^^B♭ v6A♯, ^6B♭
227 810.71 99/62 ^3A♯, ^3B♭ v5A♯, ^7B♭
228 814.29 8/5 ^4A♯, ^4B♭ v4A♯, ^8B♭
229 817.86 ^5A♯, ^5B♭ v3A♯, ^9B♭
230 821.43 ^6A♯, ^6B♭ vvA♯, ^10B♭
231 825 ^7A♯, ^7B♭ vA♯, ^11B♭
232 828.57 92/57 ^8A♯, ^8B♭ A♯, ^12B♭
233 832.14 55/34, 76/47 ^9A♯, ^9B♭ ^A♯, ^13B♭
234 835.71 47/29 ^10A♯, ^10B♭ ^^A♯, ^14B♭
235 839.29 ^11A♯, ^11B♭ ^3A♯, ^15B♭
236 842.86 ^12A♯, ^12B♭ ^4A♯, ^16B♭
237 846.43 75/46 ^13A♯, ^13B♭ ^5A♯, ^17B♭
238 850 ^14A♯, v14B ^6A♯, v17B
239 853.57 v13A𝄪, v13B ^7A♯, v16B
240 857.14 64/39 v12A𝄪, v12B ^8A♯, v15B
241 860.71 v11A𝄪, v11B ^9A♯, v14B
242 864.29 28/17 v10A𝄪, v10B ^10A♯, v13B
243 867.86 v9A𝄪, v9B ^11A♯, v12B
244 871.43 43/26, 91/55 v8A𝄪, v8B ^12A♯, v11B
245 875 58/35 v7A𝄪, v7B ^13A♯, v10B
246 878.57 v6A𝄪, v6B ^14A♯, v9B
247 882.14 v5A𝄪, v5B ^15A♯, v8B
248 885.71 v4A𝄪, v4B ^16A♯, v7B
249 889.29 v3A𝄪, v3B ^17A♯, v6B
250 892.86 vvA𝄪, vvB v17A𝄪, v5B
251 896.43 47/28 vA𝄪, vB v16A𝄪, v4B
252 900 37/22 B v15A𝄪, v3B
253 903.57 ^B, ^C♭ v14A𝄪, vvB
254 907.14 ^^B, ^^C♭ v13A𝄪, vB
255 910.71 22/13 ^3B, ^3C♭ B
256 914.29 39/23 ^4B, ^4C♭ ^B, ^13C♭
257 917.86 ^5B, ^5C♭ ^^B, ^14C♭
258 921.43 ^6B, ^6C♭ ^3B, ^15C♭
259 925 29/17 ^7B, ^7C♭ ^4B, ^16C♭
260 928.57 ^8B, ^8C♭ ^5B, ^17C♭
261 932.14 ^9B, ^9C♭ ^6B, v17C
262 935.71 ^10B, ^10C♭ ^7B, v16C
263 939.29 43/25, 74/43 ^11B, ^11C♭ ^8B, v15C
264 942.86 50/29 ^12B, ^12C♭ ^9B, v14C
265 946.43 19/11 ^13B, ^13C♭ ^10B, v13C
266 950 ^14B, v14C ^11B, v12C
267 953.57 85/49 v13B♯, v13C ^12B, v11C
268 957.14 v12B♯, v12C ^13B, v10C
269 960.71 v11B♯, v11C ^14B, v9C
270 964.29 v10B♯, v10C ^15B, v8C
271 967.86 v9B♯, v9C ^16B, v7C
272 971.43 v8B♯, v8C ^17B, v6C
273 975 65/37 v7B♯, v7C v17B♯, v5C
274 978.57 44/25 v6B♯, v6C v16B♯, v4C
275 982.14 v5B♯, v5C v15B♯, v3C
276 985.71 76/43 v4B♯, v4C v14B♯, vvC
277 989.29 v3B♯, v3C v13B♯, vC
278 992.86 vvB♯, vvC C
279 996.43 vB♯, vC ^C, ^13D♭♭
280 1000 57/32, 98/55 C ^^C, ^14D♭♭
281 1003.57 25/14 ^C, ^D♭♭ ^3C, ^15D♭♭
282 1007.14 34/19 ^^C, ^^D♭♭ ^4C, ^16D♭♭
283 1010.71 52/29 ^3C, ^3D♭♭ ^5C, ^17D♭♭
284 1014.29 ^4C, ^4D♭♭ ^6C, v17D♭
285 1017.86 ^5C, ^5D♭♭ ^7C, v16D♭
286 1021.43 92/51 ^6C, ^6D♭♭ ^8C, v15D♭
287 1025 47/26 ^7C, ^7D♭♭ ^9C, v14D♭
288 1028.57 ^8C, ^8D♭♭ ^10C, v13D♭
289 1032.14 ^9C, ^9D♭♭ ^11C, v12D♭
290 1035.71 ^10C, ^10D♭♭ ^12C, v11D♭
291 1039.29 ^11C, ^11D♭♭ ^13C, v10D♭
292 1042.86 42/23, 95/52 ^12C, ^12D♭♭ ^14C, v9D♭
293 1046.43 86/47 ^13C, ^13D♭♭ ^15C, v8D♭
294 1050 ^14C, v14D♭ ^16C, v7D♭
295 1053.57 68/37 v13C♯, v13D♭ ^17C, v6D♭
296 1057.14 35/19 v12C♯, v12D♭ v17C♯, v5D♭
297 1060.71 v11C♯, v11D♭ v16C♯, v4D♭
298 1064.29 v10C♯, v10D♭ v15C♯, v3D♭
299 1067.86 76/41 v9C♯, v9D♭ v14C♯, vvD♭
300 1071.43 13/7 v8C♯, v8D♭ v13C♯, vD♭
301 1075 80/43 v7C♯, v7D♭ v12C♯, D♭
302 1078.57 v6C♯, v6D♭ v11C♯, ^D♭
303 1082.14 v5C♯, v5D♭ v10C♯, ^^D♭
304 1085.71 88/47 v4C♯, v4D♭ v9C♯, ^3D♭
305 1089.29 v3C♯, v3D♭ v8C♯, ^4D♭
306 1092.86 47/25 vvC♯, vvD♭ v7C♯, ^5D♭
307 1096.43 vC♯, vD♭ v6C♯, ^6D♭
308 1100 C♯, D♭ v5C♯, ^7D♭
309 1103.57 70/37, 87/46 ^C♯, ^D♭ v4C♯, ^8D♭
310 1107.14 ^^C♯, ^^D♭ v3C♯, ^9D♭
311 1110.71 19/10 ^3C♯, ^3D♭ vvC♯, ^10D♭
312 1114.29 ^4C♯, ^4D♭ vC♯, ^11D♭
313 1117.86 82/43 ^5C♯, ^5D♭ C♯, ^12D♭
314 1121.43 65/34 ^6C♯, ^6D♭ ^C♯, ^13D♭
315 1125 ^7C♯, ^7D♭ ^^C♯, ^14D♭
316 1128.57 ^8C♯, ^8D♭ ^3C♯, ^15D♭
317 1132.14 25/13 ^9C♯, ^9D♭ ^4C♯, ^16D♭
318 1135.71 ^10C♯, ^10D♭ ^5C♯, ^17D♭
319 1139.29 56/29 ^11C♯, ^11D♭ ^6C♯, v17D
320 1142.86 60/31 ^12C♯, ^12D♭ ^7C♯, v16D
321 1146.43 64/33, 95/49 ^13C♯, ^13D♭ ^8C♯, v15D
322 1150 68/35 ^14C♯, v14D ^9C♯, v14D
323 1153.57 37/19 v13C𝄪, v13D ^10C♯, v13D
324 1157.14 80/41 v12C𝄪, v12D ^11C♯, v12D
325 1160.71 43/22 v11C𝄪, v11D ^12C♯, v11D
326 1164.29 v10C𝄪, v10D ^13C♯, v10D
327 1167.86 v9C𝄪, v9D ^14C♯, v9D
328 1171.43 v8C𝄪, v8D ^15C♯, v8D
329 1175 v7C𝄪, v7D ^16C♯, v7D
330 1178.57 v6C𝄪, v6D ^17C♯, v6D
331 1182.14 v5C𝄪, v5D v17C𝄪, v5D
332 1185.71 v4C𝄪, v4D v16C𝄪, v4D
333 1189.29 v3C𝄪, v3D v15C𝄪, v3D
334 1192.86 vvC𝄪, vvD v14C𝄪, vvD
335 1196.43 vC𝄪, vD v13C𝄪, vD
336 1200 2/1 D D

Instruments

A Lumatone mapping for 336edo (actually a subset thereof) is available.

Music

Bryan Deister
  • 7ed(575 cents) improv (2025) (each step of 7ed(575 cents) is effectively 23 steps of 336edo, although 23 octaves are required for an octave repeat)
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