
1. Sound Vibration:
Let's consider different frequencies of sound waves as the "sympathetic streams" in this case.

- Relative frequency of 3: This could represent a sound wave with a frequency of 300 Hz. For every 3 instances of this frequency, there would be 6 instances of another frequency and 9 instances of yet another frequency.

- Relative frequency of 6: This could represent a sound wave with a frequency of 600 Hz. For every 6 instances of this frequency, there would be 3 instances of the first frequency mentioned (300 Hz) and 9 instances of a different frequency.

- Relative frequency of 9: This could represent a sound wave with a frequency of 900 Hz. For every 9 instances of this frequency, there would be 3 instances of the first frequency (300 Hz) and 6 instances of the second frequency (600 Hz).

In this example, the relationship between the frequencies aligns with the given statement. The frequencies with a relative frequency of 3:9 (300 Hz:900 Hz) are mutually attractive, meaning they may exhibit resonance or harmonious interaction. The frequencies with a relative frequency of 6:9 (600 Hz:900 Hz) are mutually repellent, indicating they may interfere with each other or create dissonance.

2. Electricity:
Let's consider different electrical currents as the "sympathetic streams" in this example.

- Relative frequency of 3: This could represent an electrical current with a frequency of 30 Hz. For every 3 instances of this frequency, there would be 6 instances of another frequency and 9 instances of yet another frequency.

- Relative frequency of 6: This could represent an electrical current with a frequency of 60 Hz. For every 6 instances of this frequency, there would be 3 instances of the first frequency (30 Hz) and 9 instances of a different frequency.

- Relative frequency of 9: This could represent an electrical current with a frequency of 90 Hz. For every 9 instances of this frequency, there would be 3 instances of the first frequency (30 Hz) and 6 instances of the second frequency (60 Hz).

In this electrical example, similar principles apply. The currents with a relative frequency of 3:9 (30 Hz:90 Hz) would be mutually attractive, possibly leading to resonance or harmonious effects. On the other hand, the currents with a relative frequency of 6:9 (60 Hz:90 Hz) would be mutually repellent, potentially causing interference or disruption in the electrical system