It is my opinion that the more pure intervals that are in a stretch, the better the stretch sounds.

It's a fact that the number of pure intervals possible depends on the inharmonicity of the piano you are tuning, and the choices you make when tuning certain intervals.

The following diagrams show how the 6:3 size determines how we can tune the P12 and P19.

If the P12 is tuned pure, then the P19 will be pure.

If the P12 is tuned narrow, then the P19 will be narrow

If the P12 is tuned wide, then the P19 will be wide

"If the 6:3 is tuned pure, then the P12 and the P19 will be the same size."

"It is possible and desirable to tune pure P12 and pure P19"


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