By a large margin, the entire gamut of 336edo will not fit on a Lumatone. Nevertheless, a Lumatone can be used to play a musically useful subset of it.
7ed(575¢)
One of these subsets is 7ed(575 ¢), of which each increment corresponds to 23 increments of 336edo. For practical purposes, this is a non-octave tuning, although technically it repeats at the octave at 23 octaves, which would require a hypothetical XXXXL-sized Lumatone to implement and some kind of Shepard tone pattern to be all audible within the range of human hearing. Bryan Deister has demonstrated a mapping of this in 7ed(575 cents) improv (2025). In this, 7ed(575 ¢) is doubled to 14ed(1150 ¢), and then a compressed (non-octave) 4L 1s (3:2 step ratio) scale laid out on it if proceeding right and down, or a compressed 4L 2s (3:1 step ratio) scale if proceeding right and up. The range is over 6¼ instances of 1150 ¢, which slope gently upwards.
0
69
46
115
184
253
322
23
92
161
230
299
32
101
170
69
138
207
276
9
78
147
216
285
18
87
46
115
184
253
322
55
124
193
262
331
64
133
202
271
92
161
230
299
32
101
170
239
308
41
110
179
248
317
50
119
188
69
138
207
276
9
78
147
216
285
18
87
156
225
294
27
96
165
234
303
36
115
184
253
322
55
124
193
262
331
64
133
202
271
4
73
142
211
280
13
82
151
220
289
92
161
230
299
32
101
170
239
308
41
110
179
248
317
50
119
188
257
326
59
128
197
266
335
68
137
207
276
9
78
147
216
285
18
87
156
225
294
27
96
165
234
303
36
105
174
243
312
45
114
183
252
321
54
55
124
193
262
331
64
133
202
271
4
73
142
211
280
13
82
151
220
289
22
91
160
229
298
31
100
308
41
110
179
248
317
50
119
188
257
326
59
128
197
266
335
68
137
206
275
8
77
146
156
225
294
27
96
165
234
303
36
105
174
243
312
45
114
183
252
321
54
123
73
142
211
280
13
82
151
220
289
22
91
160
229
298
31
100
169
257
326
59
128
197
266
335
68
137
206
275
8
77
146
174
243
312
45
114
183
252
321
54
123
192
22
91
160
229
298
31
100
169
275
8
77
146
215
123
192
