coll7
Seven note Collatz cycle scale, -17 starting point
Properties
| Notes | 7 |
|---|
| Period | 1200.0 ¢ |
|---|
| Just | 61-limit |
|---|
| Source |
Mailing lists
|
|---|
| Reference | https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12535.html#12535 |
|---|
| Thread | 1 scale |
|---|
| Tone |
Tone (¢) |
Step |
Step (¢) |
| 37/34 |
146 |
37/34 |
146 |
| 41/34 |
324 |
41/37 |
178 |
| 91/68 |
504 |
91/82 |
180 |
| 25/17 |
668 |
100/91 |
163 |
| 55/34 |
833 |
11/10 |
165 |
| 61/34 |
1012 |
61/55 |
179 |
| 2 |
1200 |
68/61 |
188 |
Similar scales
Parent scales
Child scales
Mailing list post
From: Gene Ward Smith (2005-08-26)
Subject: A Collatz cycle scale
Collatz sequences can cycle when started from negative integers; I
don't know what the conditions are, perhaps Jeff Lagarias does. I
can't find any 12 note scales, but starting from -17 gives a 7 note
scale. It's CS,
and strictly proper, and might be fun for someone to play with who
wants a variant of 7-equal.
! coll7.scl
Seven note Collatz cycle scale, -17 starting point
7
!
37/34
41/34
91/68
25/17
55/34
61/34
2
Full thread (1 messages)
From: Gene Ward Smith (2005-08-26)
Subject: A Collatz cycle scale
Collatz sequences can cycle when started from negative integers; I
don't know what the conditions are, perhaps Jeff Lagarias does. I
can't find any 12 note scales, but starting from -17 gives a 7 note
scale. It's CS,
and strictly proper, and might be fun for someone to play with who
wants a variant of 7-equal.
! coll7.scl
Seven note Collatz cycle scale, -17 starting point
7
!
37/34
41/34
91/68
25/17
55/34
61/34
2
Raw file
! coll7.scl
Seven note Collatz cycle scale, -17 starting point
7
!
37/34
41/34
91/68
25/17
55/34
61/34
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12535.html#12535
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_12430-15927.json
! topic_id = 12535
! msg_id = 12535