Blackwood

File:Vector Blackwood.mp3 Blackwood is a regular temperament primarily supported by 15edo but in technicality by any EDO with 5edo's fifth (such as 25edo or 10edo) which takes 5edo as its 2.3.7, and treats 5 as an independent generator. Its 10-note scale (LsLsLsLsLs, pentawood) is unique among scales of its complexity for making a perfect fifth available on every note of the scale, at the cost of a ~18c detuned fifth. This means that every step of the scale has either a major or a minor triad built on it. Blackwood has Zarlino as a subset, specifically tunings wherein the difference between the large and medium steps is the same size as the small step. This overlaps with porcupine tunings of zarlino only at 15edo.

There is also a 15-note, 20-note, etc. blackwood scale, but these are much less common than the 10-note version which will be the main version discussed here.

Blackwood[10] modes

Blackwood[10] has only two modes: major (LsLsLsLsLs) and minor (sLsLsLsLsL). The unilatus, fourth, fifth, and antilatus are always perfect. The second, third, tritone, sixth, and seventh are all major in the major scale, and all minor in the minor scale.