Glacier: Difference between revisions

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'''Glacier''' is a [[rank-2 temperament]] in the 2.3.13 subgroup that tempers out the comma [[373248/371293]], the amount by which 5 [[13/12]]'s exceed [[3/2]]. It possesses [[MOS scale]]s of the families [[1L 4s]], [[1L 5s]], [[1L 6s]], [[1L 7s]], [[8L 1s]], and [[9L 8s]], although the 1L 4s and 1L 5s scales usually end up as extremely lopsided. [[17edo]] and [[26edo]] are good tunings for this temperament. Glacier has a generator nearly identical to [[Bleu]] despite it tempering out different commas.
'''Glacier''' is a [[rank-2 temperament]] in the 2.3.13 subgroup that tempers out the comma [[373248/371293]], the amount by which 5 [[13/12]]'s exceed [[3/2]]. In this temperament, 5 generators make ~3/2 and 6 generators make ~13/8. It possesses [[MOS scale]]s of the families [[1L 4s]], [[1L 5s]], [[1L 6s]], [[1L 7s]], [[8L 1s]], and [[9L 8s]], although the 1L 4s and 1L 5s scales usually end up as extremely lopsided. [[17edo]] and [[26edo]] are good tunings for this temperament, but [[94edo]] achieves a much better effect with practically perfect fifths and ~13/8 2 cents off. Glacier has a generator nearly identical to [[Bleu]] despite it tempering out different commas, of which [[17edo]] also offers a good generator.


== Interval chain (CTE tuning) ==
== Interval chain (CTE tuning) ==
{|class="wikitable"
{|class="wikitable"
|-
|-
!Generators up
! Generators up
!Cents
! Cents
|-
|-
|0
| 0
|0.0
| 0.0
|-
|-
|1
| 1
|140.3
| 140.3
|-
|-
|2
| 2
|280.6
| 280.6
|-
|-
|3
| 3
|420.9
| 420.9
|-
|-
|4
| 4
|561.2
| 561.2
|-
|-
|5
| 5
|701.5
| 701.5
|-
|-
|6
| 6
|841.8
| 841.8
|-
|-
|7
| 7
|982.1
| 982.1
|-
|-
|8
| 8
|1122.4
| 1122.4
|-
|-
|9
| 9
|62.7
| 62.7
|-
|-
|10
| 10
|203.0
| 203.0
|-
|-
|11
| 11
|343.3
| 343.3
|}
|}


[[Category:Temperaments]]
[[Category:Glacier| ]] <!-- main article -->
[[Category:Rank-2 temperaments]]
[[Category:Rank-2 temperaments]]
[[Category:13-limit]]
[[Category:Subgroup temperaments]]

Latest revision as of 06:30, 24 August 2025

Glacier is a rank-2 temperament in the 2.3.13 subgroup that tempers out the comma 373248/371293, the amount by which 5 13/12's exceed 3/2. In this temperament, 5 generators make ~3/2 and 6 generators make ~13/8. It possesses MOS scales of the families 1L 4s, 1L 5s, 1L 6s, 1L 7s, 8L 1s, and 9L 8s, although the 1L 4s and 1L 5s scales usually end up as extremely lopsided. 17edo and 26edo are good tunings for this temperament, but 94edo achieves a much better effect with practically perfect fifths and ~13/8 2 cents off. Glacier has a generator nearly identical to Bleu despite it tempering out different commas, of which 17edo also offers a good generator.

Interval chain (CTE tuning)

Generators up Cents
0 0.0
1 140.3
2 280.6
3 420.9
4 561.2
5 701.5
6 841.8
7 982.1
8 1122.4
9 62.7
10 203.0
11 343.3