User:Overthink/13-limit interval flavors - Revision history

Overthink: /* Draft section */

2025-09-25T05:06:34Z

Draft section

← Older revision		Revision as of 05:06, 25 September 2025
Line 302:		Line 302:

	Flavor 11/5: (176/135,) 88/45, 22/15, 11/10, 33/20, 99/80, 297/160, 891/640, (2673/2560, ...)		Flavor 11/5: (176/135,) 88/45, 22/15, 11/10, 33/20, 99/80, 297/160, 891/640, (2673/2560, ...)

			Flavor 13/5: 208/135, 52/45, 26/15, 13/10, 39/20, 117/80

			Flavor 11/7:

Overthink: /* Draft section */

2025-09-25T04:58:07Z

Draft section

@@ Line 284: / Line 284: @@
 == Draft section ==
 Content in this section includes ideas and constructions that are not yet complete. This section will remain until the page is completed.
 Flavor 11: 352/243, 88/81, 44/27, 11/9, 11/6, 11/8, 33/32, (99/64, 297/256, 891/512, 2673/2048)
@@ Line 289: / Line 293: @@
 Flavor /11: 243/176, 81/44, 27/22, 18/11, 12/11, 16/11, 64/33, (128/99, ...)
-Flavor 13:
+Flavor 13: (104/81,) 52/27*, 13/9, 13/12, 13/8, 39/32, 117/64, 351/256, 1053/1024, (3159/2048)

Overthink at 04:30, 25 September 2025

2025-09-25T04:30:58Z

@@ Line 125: / Line 125: @@
 |wa 8ve
 |}
 {| class="wikitable"
 |+Classical (yo, gu)
 !Cents
@@ Line 203: / Line 203: @@
 |yo 8ve
 |}

Overthink at 23:58, 24 September 2025

2025-09-24T23:58:59Z

← Older revision		Revision as of 23:58, 24 September 2025
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			{{Editable user page\|Please complete interval tables for flavors of 7, 11, 13, 7/5, 11/5, 11/7, 13/5, 13/7, and 13/11, with all perfect, major, and minor intervals, as well as A4 and d5. Note that the flavors of 7/5 and 5/7 should be placed in the same table.}}
	In this article, we will cover the various flavors of 13-limit intervals. We consider intervals that differ by a pythagorean interval to have the same flavor. The flavor of an interval depends on the primes higher than 3 in its prime factorization.		In this article, we will cover the various flavors of 13-limit intervals. We consider intervals that differ by a pythagorean interval to have the same flavor. The flavor of an interval depends on the primes higher than 3 in its prime factorization.
	{\| class="wikitable"		{\| class="wikitable"

Overthink at 23:49, 24 September 2025

2025-09-24T23:49:39Z

@@ Line 46: / Line 46: @@
 == The flavors of intervals ==
 {| class="wikitable"
 |+Pythagorean (wa)
@@ Line 122: / Line 123: @@
 |P8
 |wa 8ve
 |}

Overthink at 23:35, 24 September 2025

2025-09-24T23:35:13Z

@@ Line 1: / Line 1: @@
-In this article, we will cover the various flavors of 13-limit intervals. We consider intervals that differ by a pythagorean interval to have the same flavor.
+In this article, we will cover the various flavors of 13-limit intervals. We consider intervals that differ by a pythagorean interval to have the same flavor. The flavor of an interval depends on the primes higher than 3 in its prime factorization.
 {| class="wikitable"
 |+13-limit flavors
@@ Line 9: / Line 9: @@
 !13
 |-
-|1/3/9
+!1/3/9
-|[[1/1]]
+|[[1/1]] (wa)
+|[[5/4]] (yo)
+|[[7/4]] (zo)
+|[[11/8]] (ilo)
+|[[13/8]] (tho)
 |-
-|5
+!5
+|[[8/5]] (gu)
 |1/1
-|[[7/5]]
+|[[7/5]] (zogu)
-|[[11/10]]
+|[[11/10]] (logu)
-|13/10
+|[[13/10]] (thogu)
 |-
-|7
+!7
+|[[8/7]] (ru)
+|[[10/7]] (yoru)
 |1/1
+|[[11/7]] (loru)
+|[[13/7]] (thoru)
 |-
-|11
+!11
+|[[16/11]] (lu)
+|[[20/11]] (yolu)
+|[[14/11]] (zolu)
 |1/1
+|[[13/11]] (tholu)
 |-
-|13
+!13
+|[[16/13]] (thu)
+|[[20/13]] (yothu)
+|[[14/13]] (zothu)
+|[[22/13]] (lothu)
 |1/1
 |}

Overthink: Created page with "In this article, we will cover the various flavors of 13-limit intervals. We consider intervals that differ by a pythagorean interval to have the same flavor. {| class="wikitable" |+13-limit flavors !D\N !1/3/9 !5 !7 !11 !13 |- |1/3/9 |1/1 | | | | |- |5 | |1/1 |7/5 |11/10 |13/10 |- |7 | | |1/1 | | |- |11 | | | |1/1 | |- |13 | | | | |1/1 |}"

2025-09-24T22:10:16Z

Created page with "In this article, we will cover the various flavors of 13-limit intervals. We consider intervals that differ by a pythagorean interval to have the same flavor. {| class="wikitable" |+13-limit flavors !D\N !1/3/9 !5 !7 !11 !13 |- |1/3/9 |1/1 | | | | |- |5 | |1/1 |7/5 |11/10 |13/10 |- |7 | | |1/1 | | |- |11 | | | |1/1 | |- |13 | | | | |1/1 |}"

New page

In this article, we will cover the various flavors of 13-limit intervals. We consider intervals that differ by a pythagorean interval to have the same flavor.
{| class="wikitable"
|+13-limit flavors
!D\N
!1/3/9
!5
!7
!11
!13
|-
|1/3/9
|[[1/1]]
|
|
|
|
|-
|5
|
|1/1
|[[7/5]]
|[[11/10]]
|13/10
|-
|7
|
|
|1/1
|
|
|-
|11
|
|
|
|1/1
|
|-
|13
|
|
|
|
|1/1
|}