The diatomic scale is a musical scale consisting of seven pitches per octave. While statement 1 is correct, statement 2 is factually problematic as the frequency of the 'Sa' (tonic) and 'Ni' (leading tone) depends on the specific tuning system (e.g., Just Intonation vs. Equal Temperament) and the chosen reference pitch, making the specific values provided context-dependent rather than universal constants.

In music theory and acoustics, an octave represents a doubling of the frequency. Therefore, one octave higher than 500 Hz is 500 Hz * 2 = 1000 Hz.

The fundamental frequency of an open pipe is twice that of a closed pipe of the same length. This is because the open pipe supports a wavelength twice as long as the closed pipe's fundamental mode, resulting in a frequency that is double the closed pipe's fundamental frequency.

The quality or timbre of a sound is determined by the specific harmonic content and waveform shape produced by an instrument. Even when pitch and loudness are identical, the unique combination of overtones produced by different instruments allows the human ear to distinguish between them.

The quality or timbre of a sound is determined by the complexity of the waveform, which is a result of the fundamental frequency combined with various overtones or harmonics. While frequency determines pitch and amplitude determines loudness, the specific shape of the wave defines the instrument's unique tone.

An open pipe has antinodes at both ends, resulting in a fundamental wavelength of 2L. A closed pipe has a node at the closed end and an antinode at the open end, resulting in a fundamental wavelength of 4L. Since frequency is inversely proportional to wavelength, the open pipe's frequency is twice that of the closed pipe.

In a closed organ pipe, the air column is closed at one end and open at the other. This boundary condition forces a node at the closed end and an antinode at the open end, resulting in only odd harmonics (fundamental, 3rd, 5th, etc.) being produced. Conversely, open pipes and strings fixed at both ends support both even and odd harmonics.

The quality of a musical note, often referred to as timbre, is determined by the specific combination and relative intensities of the overtones or harmonics present alongside the fundamental frequency. While the fundamental frequency determines the pitch and amplitude determines loudness, the unique harmonic structure allows the human ear to distinguish between different instruments playing the same note.

The resonant frequency of an air column is inversely proportional to its length (f = v / 4L for a closed pipe). As water is added, the length of the air column decreases. Consequently, the resonant frequency of the air column increases as the vessel fills.

An open organ pipe is open at both ends, which allows for displacement antinodes at both boundaries. This boundary condition permits the formation of standing waves corresponding to the fundamental frequency and all its integer multiples. Consequently, both even and odd harmonics are present in the harmonic series of an open pipe, providing a richer timbre compared to a closed pipe.