Conversely, modern serial numbers (post-200,000) have superior ergonomics and the Phoenix mechanism, which rarely needs regulation. Your personal playing style matters more than the number.
The recurrence ( a_n = a_n-1 + a_n-3 ) yields: [ 1, 2, 3, 4, 6, 9, 13, 19, 28, 41, 60, 88, 129, 189, 277, 406, 595, 872, \dots ] This sequence grows with ratio tending to the real root of ( x^3 = x^2 + 1 ), approximately ( \psi \approx 1.465571 ). We denote this the Miyazawa coefficient . Miyazawa Serial Numbers
: On some models, the number is stamped on the ribbing underneath the trill keys. We denote this the Miyazawa coefficient
To date a Miyazawa flute by serial number: Miyazawa serial numbers are essential for identifying the
: On some models, numbers may be stamped on the back of the body or near the end of the footjoint.
Miyazawa serial numbers are essential for identifying the age, specifications, and authenticity of these high-end Japanese flutes. Since the company’s founding in 1969, Miyazawa has utilized serial numbers to track the unique craftsmanship of every handmade instrument, providing a roadmap from its origins in Japan to its global status today. Where to Find the Serial Number