1884.] some existing Non-harmonic Musical Scales. 375 



and third settings, taking all from the intervals heard. The Indian 

 system of scales is very complex, and differs much from the Euro- 

 pean. 



III. SINGAPORE. 



Mr. Hipkins received a Balafong or wood harmonicon direct from 

 Singapore, consisting of 24 bars forming 3 Octaves and 3 notes. We 

 measured the central Octave, beginning at bar 8, as follows : 



Observed vib.... 312 344 382 427 470 523 569 626 



From vib I 189 II 181 III 193 IV 166 V 185 VI 146 VII 165 VIII 



Sums 169 350 543 709 894 1040 1205 



Tempered vib. . 312 340 382 429 467 525 572 624 



From vib I 150 II 200 III 200 IV 150 V 200 VI 150 VII 150 VIII 



Sums 150 350 550 700 900 1050 1200 



The tempered form is given to show that this is one of the Quarter- 

 tone systems, and the tempered vibrations were calculated to show 

 how near they are to the observed. 



IV. BURMAH. 



The Patala or wood harmonicon of 25 small neat bars in the South 

 Kensington Museum, No. 1630 '72, " Engel," p. 16, who gives the 

 scale wrongly. We began at the seventh bar from the end, and took 

 an Octave thus : 



Vib 300 332 367 408 451 504 551 616 



Bars I 176 II 174 III 183 IV 174 V 192 VI 154 VII 193 VI11 



Sums 176 350 533 707 899 1053 1246 



The Octave is very sharp, and bars 15, 16, 20 were sharp Octaves 

 of II, III, VII, bar 16 being very sharp indeed. Otherwise the 

 Octaves were fair. 



A Balafong, in South Kensington Museum, with a box decorated 

 with Burmese ornaments, 22 bars, containing 3 Octaves and 1 note. 

 Twelve bars measured from 4th to the 15th. The first 5 formed the 

 end of an Octave. 



282 318 353 



VI 208 VII 181 VIII 

 807 1015 1196 



573 641 705 



XII 151 XIII 194 XIV 164 XV 

 838 1032 1196 



The sums in the first line have been found by subtraction from that 

 under VIII, which was assumed to be the same as that under XV. 

 The different construction of the corresponding parts of the Octave 

 is thus shown. 



The Keay Wine in South Kensington Museum consists of 15 kettles 

 or gongs resembling the Javese bonangs, arranged in a circle. Ill* was 



