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Sgutsis's work on tuning theory includes: | Sgutsis's work on tuning theory includes: | ||
*Cross-sets | *Cross-sets | ||
*Properties of particular equal temperaments: 17edo, 19edo, 22edo, 27edo, 31edo, 34edo, 41edo | *Properties of particular equal temperaments: 17edo, 19edo, 22edo, 27edo, 31edo, 34edo, 41edo, 46edo, 58edo | ||
*Horograms and MOS scales | *Horograms and MOS scales | ||
*Noted that 12edo, 19edo, 22edo, 31edo, 41edo and 46edo were accurate because of the Riemann zeta function, and concluded that 41edo was the best for approximating 13-limit just intonation (specifically for circulating instruments like organs) | *Noted that 12edo, 19edo, 22edo, 31edo, 41edo and 46edo were accurate because of the Riemann zeta function, and concluded that 41edo was the best for approximating 13-limit just intonation (specifically for circulating instruments like organs) |
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