Linus

Linus, also known as winwood, is the 13-limit rank-3 temperament tempering out the valerisma 137858491849/137438953472 ([-37 0 0 0 0 10⟩), the linus or higherlovesma 578509309952/576650390625 ([11 -10 -10 10⟩), and the rollwithitsma 39135393/39062500 ([-2 5 -10 0 5⟩). As a consequence of the latter two, it also tempers out the kalisma (9801/9800).

Winwood has a period of 1/10 of an octave, and so it is named by analogy with blackwood and whitewood (and is also a tribute to Steve Winwood, whose signature sound involves the use of very narrow pulse waves. This particular type of waveform amplifies the higher harmonics a lot and might make it easier to hear consonances involving them, making it a promising option for microtonal work). Unlike blackwood and whitewood, winwood's accuracy is quite high owing to the small size of the commas it tempers out.

Tempering out the valerisma means that 16/13 is represented by exactly 360 cents, tempering out the higherlovesma means that 15/14 is represented by exactly 120 cents, and tempering out the rollwithitsma means that 33/25 is represented by exactly 480 cents. Thus these intervals form circles of 10, 10, and 5, respectively. Because the kalisma is also tempered out, 99/70 and its inversion are both represented by the 600 cent tritone.

Good tunings for winwood include 80edo, 130edo, and 270edo.

See Kalismic temperaments#Linus for the temperament data.