5) And I have converted a saz (https://en.wikipedia.org/wiki/Ba%C4%9Flama 79 cm scale length) to an Harmonic Threechord (with tuning G3:G4, B3:B3, E3:E4:E4 or F3:F4, A3:A3, D3:D4:D4.
Notice that the highest string E4 is octaved one octave lower by E3, while the lowest string G3 is octaved by one octave higher. This instrument has a very fine and sweet sound and can be played with the most swell and easiest way compared to the other conversions, because of
Notice that the highest string E4 is octaved one octave lower by E3, while the lowest string G3 is octaved by one octave higher. This instrument has a very fine and sweet sound and can be played with the most swell and easiest way compared to the other conversions, because of
1) the narrow width of the neck
2) very low height of the (movable) frets
3) very low tension of the strings
4) very small diameter of the strings of such instruments.
I consider this instrument a divine sound and easiness when playing it!
Of course I have set the movable frets only to the 12-tone equal temperament Bach scale and have get rid of the other additional movable frets.
We notice that the rule ofthe octave strings in the pairs is that of teh half-baritone. In other words in the high triple string E3:E4:E4, the octave string E3 is lower, while in the lowests pair G3:G4, the octave string is the G4 which is higher. The main notes are the (G3, B3, E4).
Again an important advantage of this tuning of the 3-groups of strings Saz is that all the three inversions of a major or minor chord exist as triads (3-notes chords) as the shapes of the guitar chords D, A, E, inherited on the 3-pairs of strings only. (see DAE system post 3). So for any solo that one plays, he can quickly try a major or minor chord in one of the above 3-inversions or shapes that contains the particular note of the melody (even as root of the chord shape). The simplicity of an instrument when it is adequate harmonically and melodically ,sometimes can contribute as major factor for easy and fruitful improvisation.
Finally other optimal tuning are the harmonic tuning that is alternating intervals of major and minor thirds, that make a 3-notes chord (see also Harmonic tuning of the guitar in post 90 ) Here it would be
G3G4-B3B3-D4D4D4 or G3G4-Bb3Bb3-D4D4D4 or A3A4-C4C4-E4E4E4 or
A3A4-C#4C#4-E4E4E4 etc Such tuning has the highest density per a number of frets of major or minor triad chords.
Some Russian bass or alto Balalaikas have such tuning inherited from Russian (gypsy) guitar open tuning
PANDURI TUNING FOR SAZI (IN THE RANGE OF TAMBOURAS AND BOULGARI)
These tunings have less range than the tunings by 5ths , but also other advantages that we describe here
These PANDURI tunings are not only mainly for playing arpeggios and simplicial submelody, when another ,usually wind , instrument is playing the solo but advantageous, as we explain below when the Saz is playing solo too.
This tuning is the open G major chord or F major chord.
G2G3-B3B3-D3D4D4 or F2F3-A3A3-C3C4C4
Because the D3D4D4 course of strings has two D4 it sounds like D4 finally rather than like D3! So the final sound is like G2-B3-D4.
It has 3 inversions triads for each major o minor chord but the normal form is the simplest.
Such tuning (see also post 90 about the harmonic tuning of the guitar ) has the next advantages:
1) the highest density per a number of frets of major or minor triad chords in normal position .
2) They are easier for chords in normal position rather than for inversions(Compared to the standard tuning o 3-double strings bouzouki which is easier for chords in inversions rather than in normal position).
3) The solos are in closer frets to the fingers and we do not need to shift the hand a lot to find the appropriate note.
Again an important advantage of this tuning of the 3-groups of strings Saz is that all the three inversions of a major or minor chord exist as triads (3-notes chords) as the shapes of the guitar chords D, A, E, inherited on the 3-pairs of strings only. (see DAE system post 3). So for any solo that one plays, he can quickly try a major or minor chord in one of the above 3-inversions or shapes that contains the particular note of the melody (even as root of the chord shape). The simplicity of an instrument when it is adequate harmonically and melodically ,sometimes can contribute as major factor for easy and fruitful improvisation.
Finally other optimal tuning are the harmonic tuning that is alternating intervals of major and minor thirds, that make a 3-notes chord (see also Harmonic tuning of the guitar in post 90 ) Here it would be
G3G4-B3B3-D4D4D4 or G3G4-Bb3Bb3-D4D4D4 or A3A4-C4C4-E4E4E4 or
A3A4-C#4C#4-E4E4E4 etc Such tuning has the highest density per a number of frets of major or minor triad chords.
Some Russian bass or alto Balalaikas have such tuning inherited from Russian (gypsy) guitar open tuning
PANDURI TUNING FOR SAZI (IN THE RANGE OF TAMBOURAS AND BOULGARI)
These tunings have less range than the tunings by 5ths , but also other advantages that we describe here
These PANDURI tunings are not only mainly for playing arpeggios and simplicial submelody, when another ,usually wind , instrument is playing the solo but advantageous, as we explain below when the Saz is playing solo too.
For solos, the tunings below have the characteristic that we can easily-readily play the 2nd or 3rd voice on the other 2 strings. In addition as the strings are close and differ only at an interval of 3rd, and as most melodies have a span of 1-2 octaves, then all of the melody can be played in one only of the 3 strings (courses) which is quite intuitive in its linear pitch order, as in harp or panflute (except here chromatically not diatonically).
This tuning is the open G major chord or F major chord.
G2G3-B3B3-D3D4D4 or F2F3-A3A3-C3C4C4
Because the D3D4D4 course of strings has two D4 it sounds like D4 finally rather than like D3! So the final sound is like G2-B3-D4.
It has 3 inversions triads for each major o minor chord but the normal form is the simplest.
Such tuning (see also post 90 about the harmonic tuning of the guitar ) has the next advantages:
1) the highest density per a number of frets of major or minor triad chords in normal position .
2) They are easier for chords in normal position rather than for inversions(Compared to the standard tuning o 3-double strings bouzouki which is easier for chords in inversions rather than in normal position).
3) The solos are in closer frets to the fingers and we do not need to shift the hand a lot to find the appropriate note.
G3G4-B3B3-D4D4D4 or G3G4-Bb3Bb3-D4D4D4 or A3A4-C4C4-E4E4E4 or A3A4-C#4C#4-E4E4E4 etc Such tuning has the highest density per a number of frets of major or minor triad chords.
G3G4-B3B3-D4D4D4 or G3G4-Bb3Bb3-D4D4D4 or A3A4-C4C4-E4E4E4 or A3A4-C#4C#4-E4E4E4 etc Such tuning has the highest density per a number of frets of major or minor triad chords.
We give the calculations of the right frets positions fora saz which has variable frets,of scale length 79 cm. We calculate the distance of each fret from the upper or lower end of the string (scale) , so that approximation errors are not added when realizing these positions. In these calculations the angle of the string relative to the surface ofthe fretboard is not included. If included the calculations might have very very small modifications. (For the formula for the calculations see post 1)
FRETBOARD DIMENSIONS
|
79
|
SCALE LENGTH IN CM
| |
Number of fret
|
Lemgth from lower string end till fret
|
Multipler
|
Length from upper string end till fret
|
1
|
74.5661,
|
0.056125687
|
4.4339
|
2
|
70.3810
|
0.109101282
|
8.6190
|
3
|
66.4308
|
0.159103585
|
12.5692
|
4
|
62.7023
|
0.206299474
|
16.2977
|
5
|
59.1831
|
0.250846462
|
19.8169
|
6
|
55.8614
|
0.292893219
|
23.1386
|
7
|
52.7262
|
0.332580073
|
26.2738
|
8
|
49.7669
|
0.370039475
|
29.2331
|
9
|
46.9737
|
0.405396442
|
32.0263
|
10
|
44.3373
|
0.438768976
|
34.6627
|
11
|
41.8488
|
0.470268453
|
37.1512
|
12
|
39.5000
|
0.5
|
39.5000
|
13
|
37.2830
|
0.528062844
|
41.7170
|
14
|
35.1905
|
0.554550641
|
43.8095
|
15
|
33.2154
|
0.579551792
|
45.7846
|
16
|
31.3512
|
0.603149737
|
47.6488
|
17
|
29.5916
|
0.625423231
|
49.4084
|
18
|
27.9307
|
0.646446609
|
51.0693
|
19
|
26.3631
|
0.666290036
|
52.6369
|
20
|
24.8834
|
0.685019738
|
54.1166
|
21
|
23.4868
|
0.702698221
|
55.5132
|
22
|
22.1686
|
0.719384488
|
56.8314
|
23
|
20.9244
|
0.735134226
|
58.0756
|
24
|
19.7500
|
0.75
|
59.2500
|
