Father: Difference between revisions

The main interest can't be generalized to all exotemps. - "common tuning" cuz there are few pieces written in this temp. Objectively describe the consequence of these tunings instead. Misc. cleanup and updates
Tunings: note 5-limit CEE & CSEE
 
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| 0 || 0.0 || '''1/1'''
| 0 || 0.0 || '''1/1'''
|-
|-
| 1 || 727.9 || '''3/2''', '''8/5''', 14/9
| 1 || 738.4 || '''3/2''', '''8/5''', 14/9
|-
|-
| 2 || 255.7 || 6/5, 7/6, '''9/8'''
| 2 || 276.9 || 6/5, 7/6, '''9/8'''
|-
|-
| 3 || 983.6 || '''7/4''', 9/5
| 3 || 1015.3 || '''7/4''', 9/5
|-
|-
| 4 || 511.4 || 7/5
| 4 || 553.8 || 7/5
|-
| 5 || 92.2 || 21/20
|}
|}
<nowiki />* In 7-limit CTE tuning
<nowiki />* In 7-limit CWE tuning


== Tunings ==
== Tunings ==
{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | 5-limit prime-optimized tunings
|-
! rowspan="2" |
! colspan="3" | Euclidean
|-
! Constrained
! Constrained & skewed
! Destretched
|-
! Tenney
| CTE: ~3/2 = 737.469{{c}}
| CWE: ~3/2 = 742.290{{c}}
| POTE: ~3/2 = 743.986{{c}}
|}
{| class="wikitable mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | 7-limit prime-optimized tunings
|-
! rowspan="2" |
! colspan="3" | Euclidean
|-
! Constrained
! Constrained & skewed
! Destretched
|-
! Tenney
| CTE: ~3/2 = 727.855{{c}}
| CWE: ~3/2 = 738.443{{c}}
| POTE: ~3/2 = 742.002{{c}}
|}
=== Tuning spectrum ===
=== Tuning spectrum ===
{| class="wikitable center-all left-4"
{| class="wikitable center-all left-4"
|-
|-
! Edo<br />Generator !! Eigenmonzo<br />(Unchanged-interval)* !! Generator (¢) !! Comments
! Edo<br>generator !! Eigenmonzo<br>(Unchanged-interval)* !! Generator (¢) !! Comments
|-
|-
| 1\2 ||  || 600.0 || Lower bound of 5-odd-limit diamond monotone
| 1\2 ||  || 600.0 || Lower bound of 5-odd-limit diamond monotone
Line 52: Line 86:
| 5\8 ||  || 750.0 || Upper bound of 7-odd-limit diamond monotone
| 5\8 ||  || 750.0 || Upper bound of 7-odd-limit diamond monotone
|-
|-
| || 5/3 || 757.8 || 1/2-comma, 5-odd-limit minimax
| || 5/3 || 757.8 || 1/2-comma, 5-odd-limit minimax, 5-limit CEE & CSEE
|-
|-
| || 9/7 || 764.9 || 9-odd-limit minimax
| || 9/7 || 764.9 || 9-odd-limit minimax
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* ''[[Noodles adorno foucault]]''
* ''[[Noodles adorno foucault]]''


[[Category:Temperaments]]
[[Category:Father| ]] <!-- Main article -->
[[Category:Father| ]] <!-- Main article -->
[[Category:Rank-2 temperaments]]
[[Category:Rank-2 temperaments]]
[[Category:Exotemperaments]]
[[Category:Father family]]
[[Category:Father family]]
[[Category:Trienstonic clan]]
[[Category:Trienstonic clan]]
[[Category:Mint temperaments]]
[[Category:Mint temperaments]]
[[Category:Exotemperaments]]