A piece with the same melody as "Tebe Poem", but when performed without words, it seems Sveshnikov's choir listed it as "Тихая мелодия", or "Silent Melody".
Here is a live performance of Rachmaninov's "Silent Melody" by the State Academic Russian Chorus under A.V. Sveshnikov. This excerpt is taken from the Russian film "My Song is My Life" (1971). We can hear the famous Soviet-era oktavist Pyotr Streltsov down to F1 at the end of this clip.

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