Golden magic: Difference between revisions
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'''Golden magic''' is a tuning of [[magic]] temperament where the 19 tone, 22 tone and 41 tone MOS's have step size ratios equal to the golden ratio. It is very closely approximated by 104edo and 167edo. The generator of golden magic is roughly 380.819 cents. | '''Golden magic''' is a tuning of [[magic]] temperament where the 19 tone, 22 tone and 41 tone MOS's have step size ratios equal to the golden ratio. It is very closely approximated by 104edo and 167edo. The generator of golden magic is roughly 380.819 cents. | ||
== | ==Scale== | ||
Golden magic approximates simple intervals in the 2,3,7,11 subgroup very closely and 5 somewhat less closely (in fact 5 has the highest error of any identity in the 11 limit). Here's the 41 tone MOS with a JI detempering in the 2,3,7,11 subgroup: | Golden magic approximates simple intervals in the 2,3,7,11 subgroup very closely and 5 somewhat less closely (in fact 5 has the highest error of any identity in the 11 limit). Here's the 41 tone MOS with a JI detempering in the 2,3,7,11 subgroup: | ||