Tonality
There are five levels of Tonality:
17edo is not like a "Macrotonal", Because 17edo represents, in esense, the Low Limit for 1/3-tones (That 'Tone' that vary between 151 ~ 216,7 Cents [Ratios 12/11 until 17/15]{but in some cases you can 'stretch out' the tone between 25/23 until 25/22 for the 'Tone'}); In many cases, I based with respect the equal divisions for these 'Tones', and the 11edo until 16edo FITS with that setting.
And now, with respect the others EDOs, this should be the 'way':
- 17edo ~ 55edo be MICROTONALS (because 55edo is the highest limit for fretting a guitar of 26 Inches (660mm) with 94 frets on the neck (that is equivalent to 20,5 frets in 12edo).
- 40edo ~ 289edo be COMMATONALS (because 289edo supports very accurate the 1253/1250 Ratio (or Comma)); and
- 218edo ~ 15601edo be NANOTONALS (Particulary 218edo, because this EDO contains with much accurate the Ratios {{#rreplace: 7/4, 11/8, 9/7, 8/7, 9/8, 10/9, 11/10, 17/16|/(\d+)(\D+)?\/(\d+)(\D+)?/|\1/\3\2\4}} and very interesting accurate to the Pi Ratio [1981,7954 Cents Pi ; 1981,6514 Cents the 360\218edo]. 218edo contains a 'possible Comma' which is the Ratio 65207/65000). The size of 1\218 is 5,5046 Cents, but you can use the size of 5,5 Cents like a approximation too).
Maybe considering too the 'FEMTOTONALS', being upper than 15601edo.
This system was made in 2011-03-24. In 2011-03-25 this system was revised so that microtonals go down to 13edo.
This can be generalized to edt systems:
26edt is not like a "Macrotonal", Because 26edt represents, in esense, the Low Limit for 1/3-tones (That 'Tone' that vary between 151 ~ 216,7 Cents [Ratios 12/11 until 17/15]{but in some cases you can 'stretch out' the tone between 25/23 until 25/22 for the 'Tone'}); In many cases, I based with respect the equal divisions for these 'Tones', and the 17edt until 25edt FITS with that setting.
And now, with respect the others EDTs, this should be the 'way':
- 26edt ~ 87edt be MICROTONALS (because 87edt is the highest limit for fretting a guitar of 26 Inches (660mm) with 94 frets on the neck (that is equivalent to 20,5 frets in 19edt).
- 63edt ~ 458edt be COMMATONALS (because 458edt supports very accurate the 1253/1250 Ratio (or Comma)); and
- 346edt ~ 24727edt be NANOTONALS (Particulary 346edt, because this EDT contains with much accurate the Ratios {{#rreplace: 7/4, 11/8, 9/7, 8/7, 9/8, 10/9, 11/10, 17/16|/(\d+)(\D+)?\/(\d+)(\D+)?/|\1/\3\2\4}} and very interesting accurate to the Pi Ratio [1981,7954 Cents Pi ; 1984,4097 Cents the 361/346edt]. 346edt contains a 'possible Comma' which is the Ratio 65207/65000). The size of 1\346 is 5,4970 Cents, but you can use the size of 5,5 Cents like a approximation too).
Maybe considering too the 'FEMTOTONALS', being upper than 24727edt.