Hello John, It seems that together with the drone (I am hurdy gurdy player), the beat notes produced by the tempered fifth (and secund) are so strong that I missjudged the distance between perfect and equaly tempered fifth since I never worked on the math for tempered scales. I think the given G# is not the one I use wich is the seventh of A (11,25:8 is 1.40625). (to D). The D# which I use is the seventh of E (8,4375:8 is 1,0546875). SW John Walsh wrote: > reversed. Here is the table someone posted to the UP list. (Made up, I > am sure, with a hand calculator, not a tuner on a set of real pipes.) > Anyway, the second is reasonably close and the third is not, as you say, > but the fifth on the other hand is quite close. (There's an interesting > choice for the G#: the two possibilities differ by 35 cents.) > > Note Just Ratio (to D) Equal tempered fraction Difference in cents > ---- ------------- ----------------------- --------- > D 1:1 1.00 0 > D# 16:15 1.0595 +12 > E 9:8 1.1225 +4 > Fnat 6:5 1.1892 +16 (!) > F# 5:4 1.2599 -14 > G 4:3 1.3348 -2 > G# 7:5 or 10:7 1.4142 -17 or +18 > A 3:2 1.4983 +2 > A# 8:5 1.5874 +14 > B 5:3 1.6818 -16 > Cnat 9:5 1.7818 +18 > C# 15:8 1.8878 -12 > D 2:1 2.0 To subscribe/unsubscribe, point your browser to: http://www.tullochgorm.com/lists.html
