User:VectorGraphics/Interval regions

This page documents VectorGraphics' personal system of interval regions.

1. The thirds

The thirds (intervals ranging from approximately 245.7 to 456.3 cents) are labelled similarly to how the corresponding mediants are assuming a just 3/2 fifth, but with an additional distinction in terms of neutral thirds. Thus, the range of thirds appears as follows:

Size in cents	Generic name	Medium name	Specific name
246 - 261	Minor third	Subminor third	Inframinor third
261 - 276			Subminor third
276 - 291			Neogothic minor third
291 - 306		Minor third	Pythagorean minor third
306 - 326			Classical minor third
326 - 336			Supraminor third
336 - 346	Neutral third	Neutral third	Artoneutral third
346 - 356			Neutral third
356 - 366			Tendoneutral third
366 - 376	Major third	Major third	Submajor third
376 - 396			Classical major third
396 - 411			Pythagorean major third
411 - 426		Supermajor third	Neogothic major third
426 - 441			Supermajor third
441 - 456			Ultramajor third

Octave complement names are derived naturally from these; i.e. "pythagorean major third" -> "pythagorean minor sixth".

However, when labelling thirds in particular, it is best to speak in terms of mediants.

2. The seconds

Intervals smaller than 246c also have names as seconds. Some of the names for sevenths are somewhat irregular, so they have been supplied where necessary.

Size in cents	Generic name	Medium name	Specific name	Octave complement specific name
0	Unison	Unison	Unison	Octave
0 - 15	Comma	Comma	Lesser comma	Greater countercomma
15 - 30			Greater comma	Lesser countercomma
30 - 50		Diesis	Diesis	Counterdiesis
50 - 65			Subminor second
65 - 80	Minor second	Minor second	Grave minor second	Acute major seventh
80 - 100			Pythagorean minor second
100 - 120			Classical minor second
120 - 130			Supraminor second
130 - 140	Neutral second	Neutral second	Artoneutral second
140 - 155			Neutral second
155 - 165			Tendoneutral second
165 - 175	Major second	Major second	Submajor second
175 - 195			Classical major second
195 - 210			Pythagorean major second
210 - 225			Acute major second	Grave minor seventh
225 - 246			Supermajor second

3. The fourths

Intervals from 456 to 600 cents have names as fourths and tritones.

Size in cents	Generic name	Medium name	Specific name
456 - 470	Fourth	Subfourth	Subfourth
470 - 480			Grave fourth
480 - 500		Fourth	Flat fourth
500 - 515			Sharp fourth
515 - 535		Superfourth	Acute fourth
535 - 555			Superfourth
555 - 570	Tritone	Small tritone	Subtritone
570 - 590			Small tritone
590 - 600			Flat tritone
600		Semioctave	Semioctave