Some non-octave equal-step tunings as subsets of conventional equal temperaments: -------------------------------------------- "Alpha" 9th√3/2 78.0¢ steps 15-ET /1 = 80.0¢ steps vs. 1170¢ octaves 31-ET /2 = 77.4¢ steps vs. 1218¢ octaves 46-ET /3 = 78.3¢ steps vs. 1188¢ octaves "Beta" 11th√3/2 63.8¢ steps 19-ET /1 = 63.2¢ steps vs. 1212¢ octaves "Gamma" 20th√3/2 35.1¢ steps 34-ET /1 = 35.3¢ steps vs. 1193¢ octaves "88-CET" 88.0¢ steps 14-ET /1 = 85.7¢ steps vs. 1232¢ octaves 27-ET /2 = 88.9¢ steps vs. 1176¢ octaves 41-ET /3 = 87.8¢ steps vs. 1208¢ octaves "Bohlen-Pierce" 13th√3 146.3¢ steps 8-ET /1 = 150.0¢ steps vs. 1170¢ octaves 33-ET /4 = 145.5¢ steps vs. 1228¢ octaves 41-ET /5 = 146.3¢ steps vs. 1198¢ octaves