Hemififths: Difference between revisions

=== As a detemperament of 17et ===

Hemififths is very naturally considered as a [[detemperament]] of the [[17edo|17 equal temperament]]. The table below shows a 58-tone detempered scale, with a generator range of -28 to +29. Each interval category of the 17 equal temperament is further divided into "sub", "plain" and "super" qualities, separated by -17 generator steps, which represents the syntonic~septimal comma; the "plain" type here consists of a [[7L 10s]] scale in 8|8 mode. Combining this division with the minor, neutral, and major qualities of the 17 equal temperament, hemififths gives us at least ''nine'' qualities for each diatonic category: subminor, minor, supraminor, subneutral, neutral, supraneutral, submajor, major, and supermajor.  

| style="border-left: double;" | 24 || 35.2 || 49/48~50/49

| style="border-left: double;" | 7 || 60.3 || 28/27

| style="border-left: double;" | -27 || 110.4 || 16/15

|-

| M7

| style="border-left: double;" | 27 || 1089.6 || 15/8

| style="border-left: double;" | -7 || 1139.7 || 27/14

| style="border-left: double;" | -24 || 1164.8 || 39/20~49/25

| style="border-left: double;" |  ||  ||  

|}

== Notation ==