Thanks to computer technologies, today's generation of musicians have unprecedented capabilities for composing music in the lambdoma scale.  The best software (and the only software) for composing lambdoma music is Robert Walker's Fractal Tune Smithy.

Fractal Tune Smithy (FTS) plays music in all scales of music, not just the lambdoma.  The software's main function is to generate musical fractals.  FTS also provides a graphical representation of musical note combinations, called Lissajou patterns.  FTS is a standalone software, but may also be used in conjunction with Barbara Hero's Lambdoma midi keyboard.

A standard keyboard may also be mapped to lambdoma frequencies through FTS, but the twelve tone patterns of the tempered, just, and Pythagorean scales do not match.  Nor is it desirable to match a twelve tone scale to the lambdoma scale.

Lambdoma scales are logarithmic and possess microtonal features.  You can find many more harmonic tones between the twelve tones of modern music scales.  The biggest disadvantage of a twelve tone scale is its limited reach.  Also, twelve tone scales are forced into an unnatural division of octaves.  The fundamentals, fourths, and fifths sound good, but discord increases as the ratios become more exotic.

Fractal Tune Smithy can transcend the limitations of the twelve tone octave.  This allows the musician to explore microtones in conjunction with whole tones to produce a harmonious composition running freely through all the chords of the scale.

Lambdoma music is harmoniously pure and invokes feelings of divinity.  One actually experiences resonance as a feeling bordering between mind and matter.

FTS is not a typical musical software program.  The paradigm is unique, and not necessarily easy to learn.  Many of the features now have automated scripts for setting them up, which for the casually curious, is sufficient to put the software to use.  The program is highly customizable, however, which requires days and weeks of studying to understand.  In this sense, the complexity of FTS is both a strength and weakness, and the author has made efforts to address those weaknesses.

You will want to download the free/shareware version of the software, first, and experiment with it.  Setting up hardware can be a challenge, if you choose to do so.  Anybody working with complex midi connections knows what I'm talking about.  With the free/shareware version of the software, you can see how much time you are willing to put into learning the software before buying the full version.  If you are willing and able to learn FTS, the reward of composing in lambdoma scale is well worth the effort.

The FTS online documentation wiki is extensive and helpful.  For registered users, Mr. Walker provides his expertise to get you setup.  He is friendly and very sharp.  As a user of FTS for several years, I love the uniqueness of the software and its capabilities.  If you are looking for an eclectic edge in music, I think you will, too.