218edo: Difference between revisions
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218edo, having a step size of 5.50458715596 cents, contains very accurate ratios, such as 7/4, 11/8, 9/7, 8/7, 9/8, 10/9, 11/10 and 17/16, and its step size can be approximated as 5.5 cents. | <big><big><big><big><big><big><big><big>'''218edo'''<small><small><small><small><small><small><small><small>, having a step size of 5.50458715596 cents, contains very accurate ratios, such as 7/4, 11/8, 9/7, 8/7, 9/8, 10/9, 11/10 and 17/16, and its step size can be approximated as 5.5 cents. | ||
'''Bold numbers are off within less than 0.1 step size''' | '''Bold numbers are off within less than 0.1 step size''' | ||
Revision as of 10:20, 21 September 2018
218edo, having a step size of 5.50458715596 cents, contains very accurate ratios, such as 7/4, 11/8, 9/7, 8/7, 9/8, 10/9, 11/10 and 17/16, and its step size can be approximated as 5.5 cents.
Bold numbers are off within less than 0.1 step size
| fraction: | 3/2 | 4/3 | 5/4 | 8/5 | 5/3 | 6/5 | 7/4 | 8/7 | 10/9 | 9/5 | 9/8 | 16/9 |
| steps in 218edo: | 128 | 90 | 70 | 148 | 161 | 57 | 176 | 42 | 33 | 185 | 37 | 181 |
It's great for 2.9.7.17 subgroup, and good for 2.9.5.7.11.17 subgroup.
Tempers out 640000000000000000/635585924776181463 with patent 5, 7 and 9. This is the difference between three 7/4 ratios and sixteen 10/9 ratios stacked.
Also explore 436edo.