In 12-note equal temperament every octave is double the frequency of the previous octave (exponential growth of 2). There are 12 pitches in an octave evenly distributed multiplicatively (not linearly). Therefore note frequency grows by multiplying the previous note by exactly the twelfth root of 2 ([2^(1/12) ] ~= 1.0595 (the 5.95% you derive numerically).
Excellent elaboration Sir. Kindly, Explain how can we make a flute from one sided closed pipe? How notes have been placed keeping intervention of pipe's diametre?
Making a good flute is a fine art and skill. Measurements are available. But it takes a lot of experience to get everything right. A lot of material gets wasted before you reach perfection. Here is a site where you can get your measurements. iotic.com/flutomat/ I would say get in touch with makers like @vennelaflutes to understand the nuances of flute making.
I traveled from piano to flute to understand the 3 scales flute can play as there were very limited resources to understand these frequency correlations
Wow, wow, excellent Guruji🙏, (.may I kmow what you are ! A sound engineer!) Nevertheless thank you so much lecturing on the scientific side of Bansuri flute & Octaves 🙏🙏🙏
