540edo

Theory

540 tone equal temperament, also called 540-EDO divides the octave in 540 equal steps. Since 540 = 2 * 270 and 540 = 45 * 12, it contains 270edo and 12edo as subsets, both belonging to the zeta peak edos, zeta integral edos and zeta gap edos sequences.

Divisors

The prime factorization of 540 is [math]\displaystyle{ 540 = 2^{2} \cdot 3^{3} \cdot 5 }[/math]

Its divisors are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540.

Intervals

Size (steps)	Size (cents)	Just (ratio)	Just (cents)	Error (cents)	Comment
0	0.000
1	2.222
2	4.444
3	6.667
4	8.889
5	11.111
6	13.333
7	15.556
8	17.778
9	20.000
10	22.222
11	24.444
12	26.667
13	28.889
14	31.111
15	33.333
16	35.556
17	37.778
18	40.000
19	42.222
20	44.444
21	46.667
22	48.889
23	51.111
24	53.333
25	55.556
26	57.778
27	60.000
28	62.222
29	64.444
30	66.667
31	68.889
32	71.111
33	73.333
34	75.556
35	77.778
36	80.000
37	82.222
38	84.444
39	86.667
40	88.889
41	91.111
42	93.333
43	95.556
44	97.778
45	100.000
46	102.222
47	104.444
48	106.667
49	108.889
50	111.111
51	113.333
52	115.556
53	117.778
54	120.000
55	122.222
56	124.444
57	126.667
58	128.889
59	131.111
60	133.333
61	135.556
62	137.778
63	140.000
64	142.222
65	144.444
66	146.667
67	148.889
68	151.111
69	153.333
70	155.556
71	157.778
72	160.000
73	162.222
74	164.444
75	166.667
76	168.889
77	171.111
78	173.333
79	175.556
80	177.778
81	180.000
82	182.222
83	184.444
84	186.667
85	188.889
86	191.111
87	193.333
88	195.556
89	197.778
90	200.000
91	202.222
92	204.444
93	206.667
94	208.889
95	211.111
96	213.333
97	215.556
98	217.778
99	220.000
100	222.222
101	224.444
102	226.667
103	228.889
104	231.111
105	233.333
106	235.556
107	237.778
108	240.000
109	242.222
110	244.444
111	246.667
112	248.889
113	251.111
114	253.333
115	255.556
116	257.778
117	260.000
118	262.222
119	264.444
120	266.667
121	268.889
122	271.111
123	273.333
124	275.556
125	277.778
126	280.000
127	282.222
128	284.444
129	286.667
130	288.889
131	291.111
132	293.333
133	295.556
134	297.778
135	300.000
136	302.222
137	304.444
138	306.667
139	308.889
140	311.111
141	313.333
142	315.556
143	317.778
144	320.000
145	322.222
146	324.444
147	326.667
148	328.889
149	331.111
150	333.333
151	335.556
152	337.778
153	340.000
154	342.222
155	344.444
156	346.667
157	348.889
158	351.111
159	353.333
160	355.556
161	357.778
162	360.000
163	362.222
164	364.444
165	366.667
166	368.889
167	371.111
168	373.333
169	375.556
170	377.778
171	380.000
172	382.222
173	384.444
174	386.667
175	388.889
176	391.111
177	393.333
178	395.556
179	397.778
180	400.000
181	402.222
182	404.444
183	406.667
184	408.889
185	411.111
186	413.333
187	415.556
188	417.778
189	420.000
190	422.222
191	424.444
192	426.667
193	428.889
194	431.111
195	433.333
196	435.556
197	437.778
198	440.000
199	442.222
200	444.444
201	446.667
202	448.889
203	451.111
204	453.333
205	455.556
206	457.778
207	460.000
208	462.222
209	464.444
210	466.667
211	468.889
212	471.111
213	473.333
214	475.556
215	477.778
216	480.000
217	482.222
218	484.444
219	486.667
220	488.889
221	491.111
222	493.333
223	495.556
224	497.778
225	500.000
226	502.222
227	504.444
228	506.667
229	508.889
230	511.111
231	513.333
232	515.556
233	517.778
234	520.000
235	522.222
236	524.444
237	526.667
238	528.889
239	531.111
240	533.333
241	535.556
242	537.778
243	540.000
244	542.222
245	544.444
246	546.667
247	548.889
248	551.111
249	553.333
250	555.556
251	557.778
252	560.000
253	562.222
254	564.444
255	566.667
256	568.889
257	571.111
258	573.333
259	575.556
260	577.778
261	580.000
262	582.222
263	584.444
264	586.667
265	588.889
266	591.111
267	593.333
268	595.556
269	597.778
270	600.000
271	602.222
272	604.444
273	606.667
274	608.889
275	611.111
276	613.333
277	615.556
278	617.778
279	620.000
280	622.222
281	624.444
282	626.667
283	628.889
284	631.111
285	633.333
286	635.556
287	637.778
288	640.000
289	642.222
290	644.444
291	646.667
292	648.889
293	651.111
294	653.333
295	655.556
296	657.778
297	660.000
298	662.222
299	664.444
300	666.667
301	668.889
302	671.111
303	673.333
304	675.556
305	677.778
306	680.000
307	682.222
308	684.444
309	686.667
310	688.889
311	691.111
312	693.333
313	695.556
314	697.778
315	700.000
316	702.222
317	704.444
318	706.667
319	708.889
320	711.111
321	713.333
322	715.556
323	717.778
324	720.000
325	722.222
326	724.444
327	726.667
328	728.889
329	731.111
330	733.333
331	735.556
332	737.778
333	740.000
334	742.222
335	744.444
336	746.667
337	748.889
338	751.111
339	753.333
340	755.556
341	757.778
342	760.000
343	762.222
344	764.444
345	766.667
346	768.889
347	771.111
348	773.333
349	775.556
350	777.778
351	780.000
352	782.222
353	784.444
354	786.667
355	788.889
356	791.111
357	793.333
358	795.556
359	797.778
360	800.000
361	802.222
362	804.444
363	806.667
364	808.889
365	811.111
366	813.333
367	815.556
368	817.778
369	820.000
370	822.222
371	824.444
372	826.667
373	828.889
374	831.111
375	833.333
376	835.556
377	837.778
378	840.000
379	842.222
380	844.444
381	846.667
382	848.889
383	851.111
384	853.333
385	855.556
386	857.778
387	860.000
388	862.222
389	864.444
390	866.667
391	868.889
392	871.111
393	873.333
394	875.556
395	877.778
396	880.000
397	882.222
398	884.444
399	886.667
400	888.889
401	891.111
402	893.333
403	895.556
404	897.778
405	900.000
406	902.222
407	904.444
408	906.667
409	908.889
410	911.111
411	913.333
412	915.556
413	917.778
414	920.000
415	922.222
416	924.444
417	926.667
418	928.889
419	931.111
420	933.333
421	935.556
422	937.778
423	940.000
424	942.222
425	944.444
426	946.667
427	948.889
428	951.111
429	953.333
430	955.556
431	957.778
432	960.000
433	962.222
434	964.444
435	966.667
436	968.889
437	971.111
438	973.333
439	975.556
440	977.778
441	980.000
442	982.222
443	984.444
444	986.667
445	988.889
446	991.111
447	993.333
448	995.556
449	997.778
450	1000.000
451	1002.222
452	1004.444
453	1006.667
454	1008.889
455	1011.111
456	1013.333
457	1015.556
458	1017.778
459	1020.000
460	1022.222
461	1024.444
462	1026.667
463	1028.889
464	1031.111
465	1033.333
466	1035.556
467	1037.778
468	1040.000
469	1042.222
470	1044.444
471	1046.667
472	1048.889
473	1051.111
474	1053.333
475	1055.556
476	1057.778
477	1060.000
478	1062.222
479	1064.444
480	1066.667
481	1068.889
482	1071.111
483	1073.333
484	1075.556
485	1077.778
486	1080.000
487	1082.222
488	1084.444
489	1086.667
490	1088.889
491	1091.111
492	1093.333
493	1095.556
494	1097.778
495	1100.000
496	1102.222
497	1104.444
498	1106.667
499	1108.889
500	1111.111
501	1113.333
502	1115.556
503	1117.778
504	1120.000
505	1122.222
506	1124.444
507	1126.667
508	1128.889
509	1131.111
510	1133.333
511	1135.556
512	1137.778
513	1140.000
514	1142.222
515	1144.444
516	1146.667
517	1148.889
518	1151.111
519	1153.333
520	1155.556
521	1157.778
522	1160.000
523	1162.222
524	1164.444
525	1166.667
526	1168.889
527	1171.111
528	1173.333
529	1175.556
530	1177.778
531	1180.000
532	1182.222
533	1184.444
534	1186.667
535	1188.889
536	1191.111
537	1193.333
538	1195.556
539	1197.778
540	1200.000