240edo: Difference between revisions
cleanup, massive empty scala files like this don't belong in pages, there is an accepted format for how to give scales |
added some more facts, harmonics table |
||
| Line 2: | Line 2: | ||
{{EDO intro|240}} | {{EDO intro|240}} | ||
==Theory== | ==Theory== | ||
240edo, being a small multiple of 12, tempers out the [[Pythagorean comma]]. Alternate mapping is the 705-cent sharp fifth inherited from [[80edo]]. | |||
240edo's patent val tempers out the [[225/224]] in the 7-limit, with low resultant errors (two cents flat for the fifth, a little over a cent flat and sharp, respectively, for the major third and the 7/4.) Retuning 5-limit scales to 240edo is a simple way to to make them function as 7-limit scales while retaining very accurate tuning. One important use for it is in tuning marvel temperament and marvel's extension to spectacle temperament. | 240edo's patent val tempers out the [[225/224]] in the 7-limit, with low resultant errors (two cents flat for the fifth, a little over a cent flat and sharp, respectively, for the major third and the 7/4.) Retuning 5-limit scales to 240edo is a simple way to to make them function as 7-limit scales while retaining very accurate tuning. One important use for it is in tuning marvel temperament and marvel's extension to spectacle temperament. | ||
| Line 21: | Line 23: | ||
It should be noted that the exponents of 5/4 above are all positive and go no higher than 4. | It should be noted that the exponents of 5/4 above are all positive and go no higher than 4. | ||
=== Divisors === | |||
240edo is the 12th [[highly composite EDO]], with subset EDOs 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120. | |||
=== Odd harmonics === | |||
{{Harmonics in equal|240}} | |||
==Scales== | ==Scales== | ||
| Line 31: | Line 39: | ||
==Links== | ==Links== | ||
[[Shaahin_Mohajeri|Shaahin Mohajeri]], an Iranian Tombak player and composer, calls his personal [ | [[Shaahin_Mohajeri|Shaahin Mohajeri]], an Iranian Tombak player and composer, calls his personal [https://sites.google.com/site/240edo/ Google site] "240edo", where he makes the point that five cents is a size close to the [[Just-noticeable_difference|just noticeable difference]] between pitches. | ||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||