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
*Properties of particular equal temperaments: 19edo, 22edo, 27edo, 31edo, 34edo, 41edo, 46edo
**41, 46 and 58 smallest edos that represent 13-limit JI
**41, 46 and 58 smallest edos that represent 13-limit JI. Sgutsis often used higher edos than 31 but that didn't stick; it was 31edo which caught on.
*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
*Noted that 12edo, 19edo, 22edo, 31edo, 41edo and 46edo were accurate because of the Riemann zeta function