Petrtri: Difference between revisions

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'''Petrtri''' is an [[oneirotonic]]-based temperament or harmonic framework, based on the oneirotonic [[MOS]] with period 1\1 and a generator chain with generator a subfourth between 21edo's 8\21 (457.14¢) and 13edo's 5\13 (461.54¢).
#redirect [[Subgroup temperaments#Petrtri]]
== Notation==
The notation used in this article is described in [[5L 3s#Notation]].
 
== Temperament data ==
=== Intervals ===
Sortable table of intervals in the Dylathian mode and their Petrtri interpretations:
{| class="wikitable right-2 right-3 right-4 right-5 sortable"
|-
! Degree
! Size in 13edo
! Size in 21edo
! Size in 34edo
! Size in POTE tuning
! Note name on Q
! class="unsortable"| Approximate ratios
! #Gens up
|-
| 1
| 0\13, 0.00
| 0\21, 0.00
| 0\34, 0.00
| 0.00
| Q
| 1/1
| 0
|-
| 2
| 2\13, 184.62
| 3\21, 171.43
| 5\34, 176.47
| 177.45
| J
| 10/9, 11/10
| +3
|-
| 3
| 4\13, 369.23
| 6\21, 342.86
| 10\34, 352.94
| 354.90
| K
| 11/9, 16/13
| +6
|-
| 4
| 5\13, 461.54
| 8\21, 457.14
| 13\34, 458.82
| 459.15
| L
| 13/10, 17/13, 22/17
| +1
|-
| 5
| 7\13, 646.15
| 11\21, 628.57
| 18\34, 635.294
| 636.60
| M
| 13/9, 16/11, 23/16 (esp. 21edo)
| +4
|-
| 6
| 9\13, 830.77
| 14\21, 800.00
| 23\34, 811.77
| 814.05
| N
| 8/5
| +7
|-
| 7
| 10\13, 923.08
| 16\21, 914.29
| 26\34, 917.65
| 918.30
| O
| 17/10
| +2
|-
| 8
| 12\13, 1107.69
| 19\21, 1085.71
| 31\34, 1094.12
| 1095.75
| P
| 17/9, 32/17, 15/8
| +5
|}
== Basic theory ==
== Primodal theory ==
=== Primodal chords ===
=== Nejis ===
==== 21nejis ====
# 128:132:137:141:146:151:156:161:166:172:178:184:190:197:204:210:217:224:232:240:248:256
[[Category:Oneirotonic]]
[[Category:Temperament]]
[[Category:Petrtri|*]]