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what EDO to simulate pythagorean scale?

🔗Mohajeri Shahin <shahinm@kayson-ir.com>

11/19/2006 4:57:03 AM

Hi all

For any EDO , showing an interval (X) near to Pythagorean comma :

If we have a fifth as 700+((X)/12) , so it is a good approximation for pythagoean scale.

For example :

Is 154-EDO a good simulation for pythagoean scale?

In 154-EDO we have third degree equal to 23.37662 cent as comma , so our fifth must be 701.94805 but it isn't , fifth is 701.2987 cent.

So it isn't a good EDO to approximate pythagoean scale.

But what about 412-EDO , showing a degree of 23.30097 cent?

The fifth must be 701.94174 and we have it as 241st degree , so a good simulation for pythagoean scale. This is also true for 53 , 253 , 306 , 171, …. EDO.

Shaahin Mohajeri

Tombak Player & Researcher , Microtonal Composer

My web siteوب سايت شاهين مهاجري <http://240edo.tripod.com/>

My farsi page in Harmonytalkصفحه اختصاصي در هارموني تاك <http://www.harmonytalk.com/mohajeri>

Shaahin Mohajeri in Wikipedia شاهين مهاجري دردائره المعارف ويكي پديا <http://en.wikipedia.org/wiki/Shaahin_mohajeri> <http://www.harmonytalk.com/id/908>