217/216: Difference between revisions
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Created page with "{{Infobox Interval | Name = tricesimoprimal kleisma | Comma = yes }} '''217/216''', the '''tricesimoprimal kleisma''', is a small 31-limit (also 2.3.7.31-..." |
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'''217/216''', the '''tricesimoprimal kleisma''', is a [[small comma|small]] [[31-limit]] (also 2.3.7.31-[[subgroup]]) [[comma]] measuring almost exactly 8 [[cent]]s. It is the difference between [[9/7]] and [[31/24]], two intervals that commonly represent ultramajor thirds. | '''217/216''', the '''tricesimoprimal kleisma''', is a [[small comma|small]] [[31-limit]] (also 2.3.7.31-[[subgroup]]) [[comma]] measuring almost exactly 8 [[cent]]s. It is the difference between [[9/7]] and [[31/24]], two intervals that commonly represent sharp supermajor/flat ultramajor thirds; as well as the difference of [[8/7]] from [[31/27]] (a good approximation of [[5edo|1\5]]), and the difference of [[28/27]] from [[32/31]]. | ||
== Etymology == | == Etymology == | ||
This comma is known as the tricesimoprimal kleisma due to its proximity (differing only by [[15625/15624]]) to the classical kleisma, [[15625/15552]] and to other commas sometimes referred to as "kleismas", such as [[1029/1024]] (differing by [[3969/3968]]) and [[225/224]] (differing by [[6076/6075]]). | This comma is known as the tricesimoprimal kleisma due to its proximity (differing only by [[15625/15624]]) to the classical kleisma, [[15625/15552]] and to other commas sometimes referred to as "kleismas", such as [[1029/1024]] (differing by [[3969/3968]]) and [[225/224]] (differing by [[6076/6075]]). | ||
Latest revision as of 12:40, 18 March 2025
| Interval information |
reduced
217/216, the tricesimoprimal kleisma, is a small 31-limit (also 2.3.7.31-subgroup) comma measuring almost exactly 8 cents. It is the difference between 9/7 and 31/24, two intervals that commonly represent sharp supermajor/flat ultramajor thirds; as well as the difference of 8/7 from 31/27 (a good approximation of 1\5), and the difference of 28/27 from 32/31.
Etymology
This comma is known as the tricesimoprimal kleisma due to its proximity (differing only by 15625/15624) to the classical kleisma, 15625/15552 and to other commas sometimes referred to as "kleismas", such as 1029/1024 (differing by 3969/3968) and 225/224 (differing by 6076/6075).