Mediant (operation): Difference between revisions

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replace link to metastable with link to page about merciful intonation (which in turn includes this link)
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Examples: +1 now in table
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== Examples ==
== Examples ==


* mediant of [[3/2]] and [[5/4]]: (3+5)/(2+4) = 8/6 = [[4/3]]
The following table shows the mediant ''m'' of some fraction pairs ''f1'', ''f2''.
* mediant of [[5/4]] and [[6/5]]: (5+6)/(4+5) = [[11/9]]
 
* mediant of [[9/8]] and [[10/9]]: (9+10)/(8+9) = [[19/17]]
{| class="wikitable"
* mediant of 9/8 and 19/17: (9+19)/(8+17) = [[28/25]]
! ''f1''
* mediant of 19/17 and 10/9: (19+10)/(17+9) = [[29/26]]
! ''f2''
! ''m''
! intermediate step(s)
|-
| [[3/2]] || [[5/4]] || [[4/3]] || (3+5)/(2+4) = 8/6
|-
| [[3/2]] || [[4/3]] || [[7/5]] || (3+4)/(2+3)
|-
| [[5/4]] || [[6/5]] || [[11/9]] || (5+6)/(4+5)
|-
| [[9/8]] || [[10/9]] || [[19/17]] || (9+10)/(8+9)
|-
| 9/8 || 19/17 || [[28/25]] || (9+19)/(8+17)
|-
| 19/17 || 10/9 || [[29/26]] || (19+10)/(17+9)
|}


== Generalization ==
== Generalization ==