· Prime Limit
· Octave RepeatingThis tuning begins a set of four in a row that are more violent than their neighbors. All four have two or more degrees that must be tuned quite far beyond the range of -99 to +99 c with respect to 12 EDO. Those degrees are flagged by a red Rounded Tuning Table cell. In this tuning, degrees 7-10(F#-A) are more than 200 c from 12 EDO.
| Scale Degree | Har- monic | Ratio | Quotient | Cents | Tuning Table | Rounded Tuning Table | Note Name |
|---|---|---|---|---|---|---|---|
| 1 | 29 | 1:1 | 1 | 0.00 | 148.88 | 149 | C |
| 2 | 59 | 59:58 | 1.017241379 | 29.59 | 78.47 | 78 | C# |
| 3 | 61 | 61:58 | 1.051724138 | 87.31 | 36.19 | 36 | D |
| 4 | 31 | 31:29 | 1.068965517 | 115.46 | -35.66 | -36 | D# |
| 5 | 67 | 67:58 | 1.155172414 | 249.73 | -1.39 | -1 | E |
| 6 | 71 | 71:58 | 1.224137931 | 350.12 | -1.00 | -1 | F |
| 7 | 73 | 73:58 | 1.25862069 | 398.21 | -52.91 | -53 | F# |
| 8 | 37 | 3729 | 1.275862069 | 421.77 | -129.36 | -129 | G |
| 9 | 41 | 41:29 | 1.413793103 | 599.49 | -51.64 | -52 | G# |
| 10 | 43 | 43:29 | 1.482758621 | 681.94 | -69.18 | -69 | A |
| 11 | 47 | 47:29 | 1.620689655 | 835.93 | -15.19 | -15 | A# |
| 12 | 53 | 53:29 | 1.827586207 | 1043.93 | 92.80 | 93 | B |
Play Tuning
| Largest step size: | 208.00 c | (53:47) |
| Smallest step size: | 23.55 c | (74:73) |
| Number of step sizes: | 12 | |
HC = 43.3
2005 by David J. Finnamore
tuning@elvenminstrel.com