The cyclic nature of the 7 normal 7-note 'Greek' modes leads to semitone sequences of the modes being a cyclic permutation of any one of them taken as reference. This is also found for the normal hexatonic and pentatonic modes. In fact it holds all the way down to 2 2-note modes with semitone sequences 57 and 75. Assuming it holds going up past the 7-note 'Grek' modes, then starting from these 2 2- note modes using a 12 semitone scale we can build up the modes from 2 to 12 notes to determine a complete 'Greek' mode domain. There are 1+2+3+4+5+6+7+8+9+10+11+1 = 67 of them. Examples of 38 these (excluding the bare key note 1-note mode) account for 21% of the modes in file COMBCOD3.TXT on my website. The derivation of the 'Greek' mode domain and a table of all it's modes can be found in the file GREEKMOD.TXT at the click-on below. In addition there are shown some paths through common 8-, 9-, and 10-note non-'Greek' modes (among 143 of them observed) to the 12-note mode.
I don't have any theory of non-'Greek' modes, so have just classified them on the basis of how many notes they are away from any observed (not theoretical) 'Greek" mode. Those less that 3 notes away comprise over 99.9% of all tunes listed in file COMBCOD3.TXT on my website. MODETABL.TXT there lists all the modes I've seen, to which is added this mode classification as: G- Greek based, H- 1 note away from Greek, I, 2- notes away from Greek, N- (2) oddballs. Bruce Olson Roots of Folk: Old British Isles popular and folk songs, tunes, broadside ballads at my website <A href="http://www.erols.com/olsonw";> Click </a> To subscribe/unsubscribe, point your browser to: http://www.tullochgorm.com/lists.html
