• Communications of Mathematical Education
• /
• v.24 no.4
• /
• pp.923-937
• /
• 2010

Explain concretely how to apply some integer ratios in making Eastern and Western notes, and show numerically that the chromatic scale coming from the upholding Pythagoras method in Western and the Sambunsonikbub in Eastern are perfectly equal even if they are far from geographically.

• Communications of Mathematical Education
• /
• v.26 no.4
• /
• pp.339-349
• /
• 2012

Integer ratios 1:2:3:4 are very important in making eastern and western musical scales. Suggest an educational program of Mathematics in middle school which shows how to make an musical instrument and musical scales by Euclidean constructions. It explains for Mathematics how to make musical notes.