Hi Bernhard Just two comments: In response to Ric Breknes posts who is in doubt about my authorship of part of my work, i see the need to post my viewpoint here: 1) I expressed no such doubt whatsoever. In fact I stated the exact opposite which, as it were, directly relate to the specific claims you make below. 2) I simply state, claim and assert that the general idea of a Perfect 12th based system precedes your published works, (which I can document) and that this illustrates how similar ideas and thinking happens oft times parallel in our rather small world without the people being aware of others work in the same area. Happens all the time. I see no conflict whatsoever with what I have said, and repeat above with your claims below. I applaud your work and fully support all patent copyright rights you have as far as they go... but only as far as they go. P 12ths tuning in general has been around before you formalized it, and for whatever its worth my own Tunelab application of the general idea precedes your own far more sophisticated software. Also all very easy to document. However... since your own Software clearly goes much farther in exploiting the potential of the P-12ths then my rather crude in comparison application does... I see no reason for you to concern yourself with it. Quite the opposite really. The more folks get turned onto the idea of the P-12ths system in general... the more likely they are to want a Mercedes version of the tool. Relax Bernhard we are on the same side here. Cheers RicB I claim: 1. Having discovered and described the natural form of the fifth circle, which is present in nature in the harmonics structure and is in fact a circle of 12 duodecimes and 19 octaves (1988). 2. Beeing the first having developped a real world tuning (i.e. taking into consideration of nonlinearities) based on AURAL pure duodecimes with the help of a DUODECIME TUNING TOOL (a tool spanning a duodecime enabling to strike the duodecime with one hand while tuning), resulting in "sweet spotted" aural pure duodecimes (not 3/1 duodecimes). Further using a temperament setup within the range of such an AURAL duodecime, named the resulting tuning "Stopper Stimmung" and used the name as a trademark for this tuning (published 1988). Although StopperStimmung/tuning is BASED on the 19th root of 3, this factor is true but for the pitch unison. In fact real world StopperStimmung/tuning is NOT a logarithmic 19th root of three tuning. 3. (most important) Having discovered symmetry present in this tuning, eliminating beats in various chord combinations by constructive interference, und thus having discovered WHY this tuning sounds so good: (2004). 4. Having developped an improved aural tuning method (OnlyPure) using explicitely the effects of the symmetry caused interference phenomenes (2004). 5. Having released a new tuning software which produces a tuning of the form derived by the methods of claims 2 and 4. (2006). Best regards, Bernhard Stopper
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