Beautiful 27: Difference between revisions

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'''Beautiful 27''' is a 27-note [[just intonation]] scale. It is a [[Constant structure]] 7-limit detemper of [[27edo]], which includes 4 [[225/224]] comma steps, which is the more distinctive qualities of Beautiful 27, is its reliance on "compression harmonics" to maintain tonal consistency through commatic drift adaptation. It’s technically a resonant detemper of [[27edo]], designed to optimize syntonic phase alignment within the 7-limit, thus providing unique harmonic shifts.
'''Beautiful 27''' is a 27-note [[just intonation]] scale. It is a [[Constant structure]] 7-limit [[Detempering|detemper]] of [[27edo]], which includes 4 [[225/224]] comma steps.
 
<pre>! Beautiful27.scl
The structure includes 4 [[225/224]] "nodal commatic steps" that allow for "intra-harmonic phase stabilizers" (IHPS), produces pseudo-just intervals when transitioning between high-complexity microtonal modulations.
!
! Beautiful27.scl
Beautiful 27
!
27
Beautiful 27
!
27
36/35
!
16/15
27/35
15/14
16/15
35/32
15/7
8/7
8/27
7/6
7/6
6/5
6/5
56/45
56/45
5/4
5/4
9/7
9/7
4/3
4/3
48/35
48/35
7/5
7/5
10/7
10/7
35/24
35/24
3/2
3/2
14/9
14/9
8/5
8/5
45/28
45/28
5/3
5/3
12/7
12/7
7/4
7/4
64/35
64/35
28/15
28/15
15/8
15/8
35/18
35/18
2/1</pre>
2
[[Category:Just intonation scales]]
[[Category:Just intonation scales]]
[[Category:Pages with mostly numerical content]]
[[Category:27-tone scales]]
[[Category:27-tone scales]]
[[Category:27edo]]
[[Category:Pages with Scala files]]
[[Category:Pages with Scala files]]

Latest revision as of 00:33, 24 June 2025

Beautiful 27 is a 27-note just intonation scale. It is a Constant structure 7-limit detemper of 27edo, which includes 4 225/224 comma steps.

! Beautiful27.scl
!
Beautiful 27
27
!
36/35
16/15
15/14
35/32
8/7
7/6
6/5
56/45
5/4
9/7
4/3
48/35
7/5
10/7
35/24
3/2
14/9
8/5
45/28
5/3
12/7
7/4
64/35
28/15
15/8
35/18
2/1