13/12: Difference between revisions

| Monzo = -2 -1 0 0 0 1

| Cents = 138.57266

| Color name = 3o2, tho 2nd

| Sound = jid_13_12_pluck_adu_dr220.mp3

}}

In [[13-limit]] [[Just Intonation]], '''13/12''' is a '''neutral second''' of about 138.6¢. It is a [[superparticular]] interval, as it is found in the harmonic series between the 13th and the 12th overtone (between [[13/8]] and [[3/2]] in the octave). It is flat of the [[11-limit]] lesser neutral second of [[12/11]] by [[144/143]] (about 12.1¢), and sharp of the 13-limit large semitone of [[14/13]] by [[169/168]] (about 10.3¢).

The neutral second in [[17edo]] is about 141.2¢, about 2.6¢ sharp of 13/12. Thus, if 10\17 (ten degrees of 17edo) is taken to approximate 3/2 and 12\17 taken to approximate 13/8, you can generate a 13-limit harmonic triad that approximates an 8:12:13 chord with a good 13/12.

[[Category:13-limit]]

[[Category:Interval]]

[[Category:Just interval]]

[[Category:Neutral second]]

[[Category:Second]]

[[Category:Superparticular]]