Gentle region: Difference between revisions
had a discussion with margo schulter |
No edit summary |
||
| Line 14: | Line 14: | ||
We can consider the first region to extend from fifths of size 17\29 to 64\109, and the extended region to reach 47\80. If we remove the restriction to tempering based on chains of fifths, we find that notable equal divisions in the smaller gentle region include multiples of [[29edo]], [[46edo]], [[75edo]], [[104edo]], [[109edo]], [[121edo]], [[145edo]], [[155edo]], [[162edo]], [[167edo]], [[179edo]], [[191edo]], [[201edo]], [[213edo]], [[225edo]] and [[237edo]], plus [[63edo]] and [[80edo]] in the extended region. | We can consider the first region to extend from fifths of size 17\29 to 64\109, and the extended region to reach 47\80. If we remove the restriction to tempering based on chains of fifths, we find that notable equal divisions in the smaller gentle region include multiples of [[29edo]], [[46edo]], [[75edo]], [[104edo]], [[109edo]], [[121edo]], [[145edo]], [[155edo]], [[162edo]], [[167edo]], [[179edo]], [[191edo]], [[201edo]], [[213edo]], [[225edo]] and [[237edo]], plus [[63edo]] and [[80edo]] in the extended region. | ||
The gentle region is further divided into two subregions: | The extended gentle region is further divided into two subregions: | ||
* "lower | * "lower gentle": 703.4¢ (near 17\29) to 704.3¢ (near 27\46) | ||
* "upper | * "upper gentle": 704.3¢ to 705.0¢ (near 10\17, or more accurately 47\80). | ||
[[46edo]] is | [[46edo]] is effectively the boundary between lower and upper neogothic. | ||
{| class="wikitable" | {| class="wikitable" | ||