Verse:Hmøøh/Rewhd Sgutsis: Difference between revisions

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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, 46edo, 58edo
*Properties of particular equal temperaments: 17edo, 19edo, 22edo, 27edo, 31edo, 34edo, 41edo, 46edo, 58edo  
**41, 46 and 58 smallest edos that represent 13-limit JI
*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


These ideas in particular influenced
These ideas in particular influenced
138,689

edits